Reteaching Transversals and Angle Relationships

Save this PDF as:

Size: px
Start display at page:

Transcription

1 Name Date Class Transversals and Angle Relationships INV Transversals A transversal is a line that intersects two or more coplanar lines at different points. Line a is the transversal in the picture to the right. When two lines are intersected by a transversal, the angle pairs are classified by type. n m p Classification Example Classification Example A pair of corresponding angles are two angles that lie on the same side of the transversal and on the same sides of the other two lines. A pair of alternate interior angles are two nonadjacent angles that lie on opposite sides of the transversal and between the other two lines. A pair of alternate exterior angles are two angles that lie on opposite sides of the transversal and outside the other two lines. A pair of same-side interior angles are two angles that lie on the same side of the transversal and between the other two lines; also called consecutive interior angles. Give an example of a pair of alternate exterior angles. One pair of alternate exterior angles is given by and 7. p e Another pair of alternate exterior angles is given by and d 7 8 Complete each statement with the correct term.. Line t is the transversal of lines g and h.. 3 and 5 are a pair of same-side interior angles. 3. and 6 are a pair of corresponding angles.. and 8 are a pair of alternate exterior angles. 5. and 5 are a pair of alternate interior angles. t g h Saxon. All rights reserved. Saxon Geometry

2 continued INV Transversals and Parallel Lines When a transversal intersects parallel lines, the angle pairs that are formed are either supplementary or congruent. Corresponding Angles Postulate If two parallel lines are cut by a transversal, then the corresponding angles are congruent. t a Alternate Interior Angles Theorem t If two parallel lines are cut by a transversal, then the alternate interior angles are congruent. b a b If a b, then. Alternate Exterior Angles Theorem If two parallel lines are t cut by a transversal, then the alternate exterior angles are congruent. a If a b, then. Same-Side Interior Angles Theorem If two parallel lines are t cut by a transversal, then the same-side interior angles are supplementary. b a b If a b, then. If a b, then 80. Lines f and g are parallel lines intersected by transversal c. If m 77, what is m 7? Since lines f and g are parallel and and 7 are corresponding angles, and 7 are congruent by the Corresponding Angles Postulate. c f g m 7 77 Lines f and g are parallel. Complete the steps. 6. If m 7 77, find m 3. 7 and 3 are same-side interior angles. m 7 m m 3 80 m m 3 03 c f g Use the above picture to answer each question. 7. If you know m 8, is it possible to know m? Yes; m m 8 because the two angles are a pair of alternate exterior angles. Saxon. All rights reserved. Saxon Geometry

3 Name Date Class Finding Midpoints You know that a midpoint divides a segment into two congruent parts. Now you will determine the midpoint for a line segment. The midpoint of a segment is found by taking the average of the two coordinates: c a b. What is the midpoint of A and B on the number line? What is the coordinate of A? What is the coordinate of B? 9 Substitute the coordinates into the formula and simplify. c a b c 9 A c 0 0 c 5 The midpoint of A and B is 5. B Complete the steps to determine the midpoint of C and D on the number line.. What is the coordinate of C? 0 What is the coordinate of D? c a b c 0 c c The midpoint of C and D is. C 0 D 6 8 Determine the midpoint of each segment A B A B A B Saxon. All rights reserved. 3 Saxon Geometry

4 The midpoint of a line segment in a coordinate plane can be found by using the Midpoint Formula. M x x, y y Determine the midpoint of line segment _ GH connecting (, ) and (7, 6). Determine the x and y coordinates for each point. y 8 Substitute the coordinates into the formula and simplify. M x x, y y 6 M 7, 6 M 8, 8 O M (, ) The midpoint is (, ). continued G (, ) M (, ) H (7, 6) 6 8 M is the midpoint of HG x Complete the steps to determine the midpoint of the given segment. 5. M x x, y y y 5 M 3, S (-3, ) 3 M O x, M (, ) -3 The midpoint is,. Determine the midpoint. T (, -) 6.,5 7. 3,6 8. 5, y y 8 R (6, 7) 6 6 A (-, 5) B (, 5) Q (0, 5) x - O 6 O x y O J (, -) K (9, 3) 6 8 x Saxon. All rights reserved. Saxon Geometry

5 Name Date Class Proving Lines Parallel You have worked with parallel lines. Now, you will prove that lines are parallel using the converse of theorems. Converse of the Corresponding Angles Postulate: If two lines are cut by a transversal and the corresponding angles are congruent, then the lines are parallel. Converse of the Alternate Interior Angles Theorem: If two lines are cut by a transversal and the alternate interior angles are congruent, then the lines are parallel. q Example: 3 Given that 3, prove that lines q and r are parallel. r Step : Identify the relationship between the two angles. and 3 are corresponding angles. Step : The lines are parallel by the Converse of the Corresponding Angles Postulate. Complete the steps to determine whether the lines are parallel.. Given that 3, prove that lines a and b are parallel. Identify the relationship between and 3. and 3 are alternate interior angles. The lines are parallel by the Converse of the Alternate Interior Angles Theorem. t 3 a b Given the information in each exercise, state the reason why lines j and k are parallel.. Given: 6 Converse of the Corresponding Angles Postulate 3. Given: 3 6, 6 6 Converse of the Alternate Interior Angles Theorem. Given: 5 Converse of the Corresponding Angles Postulate 5. Given: 5 Converse of the Alternate Interior Angles Theorem j k Saxon. All rights reserved. 5 Saxon Geometry

6 continued Converse of the Alternate Exterior Angles Theorem: If two lines are cut by a transversal and the alternate exterior angles are congruent, then the lines are parallel. Converse of the Same-Side Interior Angles Theorem: If two lines are cut by a transversal and the same-side interior angles are supplementary, then the lines are parallel. Example: Given that 8, prove that lines j and k are parallel. Step : Identify the relationship between the two angles. and 8 are alternate exterior angles. Step : The lines are parallel by the Converse of the Alternate Exterior Angles Theorem j k Complete the steps to determine whether the lines are parallel. 6. Given that m m 80 prove that lines s and t are parallel. Identify the relationship between and. and are same-side interior angles whose sum is 80. The lines are parallel by the Converse of the Same-Side Interior Angles Theorem. s t Given the information in each exercise, state the reason why lines j and k are parallel. 7. Given: 7 Converse of the Alternate Exterior Angles Theorem 8. Given: m 3 7, m 5 08 Converse of the Same-Side Interior Angles Theorem 9. Given: m 7, m 7 7 Converse of the Alternate Exterior Angles Theorem 0. Given: m m 6 08 Converse of the Same-Side Interior Angles Theorem j k Saxon. All rights reserved. 6 Saxon Geometry

7 Name Date Class You know that a triangle is a three-sided polygon. Now you will classify triangles by their sides and angles. You can classify triangles by their angle measures. Introduction to Triangles 3 Acute Triangle Right Triangle Obtuse Triangle all acute angles one right angle one obtuse angle Use angle measures to classify the triangle. Identify the measures of each angle. 6 acute 70 acute 9 acute All three angles are acute. The triangle is acute Complete the steps to classify each triangle by its angle measures.. 36 acute 5. 7 acute 5 acute 90 right obtuse 30 acute Triangle is right. Triangle is obtuse. Classify each triangle by its angle measures. 3. right. obtuse 5. acute Saxon. All rights reserved. 7 Saxon Geometry

8 continued 3 You can also classify triangles by their side lengths. Equilateral Triangle Isosceles Triangle Scalene Triangle all sides congruent at least two sides congruent no sides congruent Classify the triangle by its side lengths. Three sides are the same length. The triangle is equilateral. The triangle is also isosceles because at least two sides are congruent. Complete the steps to classify each triangle by its side lengths one side 3 7. one side 7 one side one side 8 5 one side 5 one side Triangle is scalene. Classify each triangle by its side lengths. Triangle is isosceles. 8. scalene 9. equilateral; 0. isosceles isosceles Saxon. All rights reserved. 8 Saxon Geometry

9 Name Date Class You know that a statement that is believed to be true but has not been proved is a conjecture. Now, you will disprove conjectures with counterexamples. Disproving Conjectures with Counterexamples Geometric Conjectures A counterexample is an example that proves a conjecture or statement is false. Use the conjecture to answer a and b. If A is an acute angle, then A 5. a. What is the hypothesis and conclusion of the conjecture? Hypothesis: A is an acute angle. Conclusion: A 5 b. Find a counterexample to the conjecture. A counterexample would be an example of an angle for which the hypothesis is true but the conclusion is false. An acute angle has any measure between 0 and 90. Counterexample: An angle of 55 is an acute angle, but it is not 5. Complete the steps to find a counterexample to the conjecture.. If two angles are congruent, then they are vertical angles. Hypothesis: Two angles are congruent. Conclusion: They are vertical angles. Counterexample: Two angles can be congruent in measure but not be vertical angles. Determine the hypothesis and conclusion and find a counterexample to the conjecture.. If a shape is a quadrilateral, then it is a parallelogram. Hypothesis: A shape is a quadrilateral. Conclusion: It is a parallelogram. Counterexample: A trapezoid is a quadrilateral but not a parallelogram. Saxon. All rights reserved. 9 Saxon Geometry

10 Algebraic Conjectures Find a counterexample to the conjectures. a. Conjecture: The difference of two integers is a smaller number than either of the original numbers. Counterexample: The equation ( 3) shows that the difference of two integers can be a larger number than either of the two original numbers. b. Conjecture: If x is an integer, then x 0. Counterexample: If x, then ( ) is not less than 0. continued Complete the steps to find a counterexample to the algebraic conjecture. 3. If x is an even number, then x + is divisible by. Counterexample: The expression is not divisible by.. If x and y are two different integers, then x y y x. Counterexample: Possible answer: If x 5 and y 7, then x y y x. Find a counterexample to each algebraic conjecture. 5. If x 6, then x. Counterexample: x 6. If x 0, then x. Counterexample: Possible answer: x 7. If a number is a perfect square, then its square root is even. Counterexample: Possible answer: 5 is a perfect square whose square root is odd; 5 8. If (x + 7)(x ) 0, then x. Counterexample: x 7 9. If x + y, then x 5 and y 9. Counterexample: Possible answer: x could be 0, and y could be. Saxon. All rights reserved. 30 Saxon Geometry

11 Name Date Class You have worked with congruent line segments and angles. Now you will work with polygons. Polygons are named for the number of their sides. Some common names are given in the table. A polygon is equiangular if all the angles are congruent. A polygon is equilateral if all the sides are congruent. A polygon that is both equiangular and equilateral is called a regular polygon. A polygon that is not equiangular and not equilateral is called an irregular polygon. Name the polygon. Determine whether it is equiangular, equilateral, regular, irregular, or more than one of these. The polygon has 6 sides. The sides and angles are all congruent. It is a regular hexagon. Introduction to Polygons 5 Number of Sides Polygon 3 Triangle Quadrilateral 5 Pentagon 6 Hexagon 7 Heptagon 8 Octagon 9 Nonagon 0 Decagon Name the polygon. Determine whether it is equiangular, equilateral, regular, irregular, or more than one of these... The polygon has 8 sides. The angles are congruent, but the sides are not. The polygon is an octagon. The polygon has 5 sides. The sides and angles are all congruent. The polygon is a regular pentagon. It is equiangular and irregular. Saxon. All rights reserved. 3 Saxon Geometry

12 Interior and Exterior Angles An interior angle is an angle that is inside a shape. An exterior angle is any angle that is between any side of a shape and a line extended from the adjacent side. Determine whether each angle is interior or exterior. is formed by the side of the shape and a line extended from the adjacent side. It is an exterior angle. is inside of the polygon. It is an interior angle. 3 is inside the polygon. It is an interior angle. 3 continued Complete each sentence. 3. is inside the polygon, so it is an interior angle.. is formed by the side of the shape and a line extending outside the shape, so it is an exterior angle. Determine whether each angle is an interior angle or an exterior angle interior angle 6. 8 exterior angle 7. 3 interior angle 8. exterior angle 9. 6 exterior angle 0. 5 interior angle Saxon. All rights reserved. 3 Saxon Geometry

13 Name Date Class You have worked with ordered pairs. Now you will find the slope and equation of the line between two ordered pairs. Finding Slopes and Equations of Lines 6 Slope The slope of a line describes how steep the line is. You can find the slope by writing the ratio of the rise to the run. slope rise run 3 y 6 8 You can use a formula to calculate the slope m of the run: go up 3 units 6 line through points x, y and x, y. Find the slope m of AB using the formula. Substitute (, 3) for x, y and (7, 6) for x, y. m y y x x O run: go right 6 units A (, 3) B (7, 6) 6 x m m 3 6 m Substitute. Simplify. Simplify. Complete the steps to find the slope of each line.. m = y y x x m H - - y O J x. m y y x x m O y C D x 6 m 6 m 0 m m 0 3 Use the slope formula to determine the slope of each line. 3. (0, )(, 6) m 8. (3, )(6, 3) m 3 Saxon. All rights reserved. 33 Saxon Geometry

14 continued 6 Equations of Lines The slope-intercept form of a line is one way of writing a linear equation using the slope m and the y-intercept b of the line. Slope-Intercept Form Example y = mx + b Write the equation of the line through (0, ) and (, 7) in slope-intercept form. Step : Find the slope. slope y-intercept m y y x x y = x + 7 Step : The y-intercept is (0, ), so is the value of b. Step 3: Write the equation. y mx b y 3x Substitute 3 for m and for b Complete the steps to write the equation of the line in slope-intercept form. 5. Step : Determine two points on the line to find the slope. y Use points (, ) and (, ). m y y x x O - x Step : From the graph the y-intercept is (0, ). - Step 3: Write the equation. y mx b y 3 x Write the equation of each line. 6. the line through (0, ) and (5, 8) 7. the line through (0, 5) and (, 6) y 6 5 x y x 5 Saxon. All rights reserved. 3 Saxon Geometry

15 Name Date Class Now you are going to look at the converse of a statement which results from switching the hypothesis and conclusion. Given the conditional statement below, state the converse. If x is an even number, then x is divisible by. Hypothesis Kx is an even number.k Conclusion Kx is divisible by.k Converse If x is divisible by, then x is an even number. Is the converse a true statement? The converse is a true statement. We know that if a number is divisible by, then it is an even number. More Conditional Statements 7 Complete the statements for the hypothesis, conclusion, and converse.. If a line containing points J, K, and L lies in a plane, then J, K, and L are coplanar. Hypothesis: A line containing points J, K, and L lies in a plane. Conclusion: J, K, and L are coplanar. Converse: If J, K, and L are coplanar, then A line containing points J, K, and L lies in a plane.. If it is Tuesday, then play practice is at 6:00. Hypothesis: It is Tuesday. Conclusion: Play practice is at 6:00. Converse: If play practice is at 6:00, then it is Tuesday. Identify the hypothesis and conclusion for each statement. Then, state the converse. 3. If you buy this cell phone, then you will receive ten free ringtones. Hypothesis: You buy this cell phone. Conclusion: You will receive ten free ringtones. Converse: If you receive ten free ringtones, then you have bought this cell phone. Saxon. All rights reserved. 35 Saxon Geometry

16 continued 7 Two other conditional statements can be formed from the hypothesis and conclusion. Inverse: This is formed when the hypothesis and conclusion are negated. Contrapositive: This is formed by both exchanging and negating the hypothesis and conclusion. Statement Conditional Converse Inverse Contrapositive Example If a figure is a square, then it has four right angles. Hypothesis Conclusion Switch the hypothesis and conclusion. If a figure has four right angles, then it is a square. Negate the hypothesis and conclusion. If a figure is not a square, then it does not have four right angles. Switch and negate the hypothesis and conclusion. If a figure does not have four right angles, then it is not a square. Complete the statements of the converse, inverse, and contrapositive.. If an animal is an armadillo, then it is nocturnal. Converse: If an animal is nocturnal, then it is an armadillo. Inverse: If an animal is not an armadillo, then it is not nocturnal. Contrapositive: If an animal is not nocturnal, then it is not an armadillo. Identify the hypothesis and conclusion of each statement. Then, state the converse, inverse, and contrapositive. 5. If an angle has a measure less than 908, then it is acute. Converse: If an angle is acute, then it has a measure less than 90. Inverse: If an angle does not have a measure less than 90, then it is not acute. Contrapositive: If an angle is not acute, then it does not have a measure less than If y, then y. Converse: If y, then y. Inverse: If y, then y. Contrapositive: If y, then y. Saxon. All rights reserved. 36 Saxon Geometry

17 Name Date Class You have worked with different angle measures and classified angles in triangles. Now you will work with special angle relationships in triangles. Triangle Theorems 8 According to the Triangle Angle Sum Theorem, the sum of the angle measures of a triangle is 80. Find the measure of L. Step : Write the equation. m J m K m L 80 Step : Substitute m L 80 Step 3: Solve for m L. 35 m L 80 m L 5 The measure of L is 5. L J 6 73 K Complete the steps to determine the measure of the missing angle.. A. M 9 L N C 8 B m A m B m C 80 9 m B m B 80 m B 7 m L m M m N 80 m L m L 3 80 m L 9 Find the measure of the missing angle. 3. W. F 3 Y 0 X E 78 G 5 68 Saxon. All rights reserved. 37 Saxon Geometry

18 continued 8 An exterior angle of a triangle is formed by one side of the triangle and the extension of an adjacent side. The Exterior Angle Theorem states that the measure of an exterior angle of a triangle is equal to the sum of the measures of its remote interior angles. Find the measure of FHJ. Step : Write the equation. Step : Substitute. m F m G m FHJ 60 5 m FHJ exterior angle J? H F 60 5 G remote interior angles Step 3: Solve. m FHJ The measure of FHJ is. Complete the steps to determine the measure of the angle. 5. ABD 6. HJK D H A B 7 C G 8 J K m D m C m ABD 7 m ABD 68 m ABD m G m H m HJK 8 m HJK 6 m HJK Find the measure of the angle. 7. MNP 8. QRS M S 3 63 L 9 N P Q R 7 T 5 35 Saxon. All rights reserved. 38 Saxon Geometry

19 Name Date Class A quadrilateral is a polygon with four sides. Specific properties of figures are listed in the table below. Figure Parallelogram Kite Trapezoid Trapezium Rectangle Rhombus Square Introduction to Quadrilaterals 9 Properties Both pairs of opposite sides are parallel. It has exactly two pairs of congruent consecutive sides. Exactly one pair of opposite sides is parallel. No sides are parallel. It is a parallelogram with four right angles. It is a parallelogram with four congruent sides. It is a parallelogram with four right angles and four congruent sides. Classify the quadrilateral. Give multiple names if possible. Quadrilateral EFGH: Sides _ EF and _ HG are parallel. Sides _ HE and _ GF are parallel. A figure with opposite sides parallel is a parallelogram. H E G F Complete the steps to classify the quadrilateral. Give multiple names if possible.. L, M, N, and P are right angles. L M LM, MN, NP, and PL are congruent sides. The figure is a square. P N It is also a parallelogram, a rhombus, and a rectangle. Classify the quadrilaterals. Give multiple names if possible.. 3. T U W V rhombus; parallelogram trapezoid Saxon. All rights reserved. 39 Saxon Geometry

20 continued 9 Determine the perimeter, area, length and width of this rectangle. The length is.6 centimeters, and the width is 3.0 centimeters. The perimeter is the sum of the side lengths. P P (3.0) (.6) P 5. The perimeter of the rectangle is 5. centimeters. The area is the side length times the side width. A lw A (.6) (3.0) A 3.8 The area of the rectangle is 3.8 cm..6 cm 3.0 cm Complete the steps to determine the perimeter and area of the figure.. Perimeter Area P A lw P.0 + (8.5) A (8.5) () P 5 cm A 3 cm Find the perimeter and area of each figure. 8.5 cm.0 cm 5. 3 in. 6. ft 7. 6 yd 8 ft P in.; P 60 ft; P 6 yd; A.5 in A 6 ft A 56 yd Saxon. All rights reserved. 0 Saxon Geometry

21 Name Date Class Interpreting Truth Tables 0 You have worked with conditional statements. Now you will work with biconditional statements and truth tables. A biconditional statement combines a conditional statement (if p, then q) with its converse (if q, then p). Conditional: p q If the sides of a triangle are congruent, then the angles are congruent. Converse: q p If the angles of a triangle are congruent, then the sides are congruent. Biconditional: p q The sides of a triangle are congruent if and only if the angles are congruent. Complete the statements for the converse and biconditional.. If you can download six songs for \$5.9, then each song costs \$0.99. Converse: If each song costs \$0.99, then you can download six songs for \$5.9. Biconditional: You can download six songs for \$5.9 if and only if each song costs \$ If Lindsay works on the yearbook, then she does not play soccer. Converse: If Lindsay does not play soccer, then she works on the yearbook. Biconditional: Lindsay works on the yearbook, if and only if she does not play soccer. For each conditional, write the converse and a biconditional statement. 3. If a figure has ten sides, then it is a decagon. Converse: If a figure is a decagon, then it has ten sides. Biconditional: A figure has ten sides if and only if it is a decagon.. An angle is obtuse if it measures between 90 and 80 degrees. Converse: If an angle measures between 90 and 80 degrees, then the angle is obtuse. Biconditional: An angle is obtuse if and only if it measures between 90 and 80 degrees. Saxon. All rights reserved. Saxon Geometry

22 continued 0 A compound statement combines two statements using and or or. A compound statement that uses and is called a conjunction. A compound statement that uses or is called a disjunction. The table below shows when a conjunction or disjunction is true or false. p q Conjunction: p and q Disjunction: p or q T T T T T F F T F T F T F F F F Example: Write a conjunction using the two statements and determine whether the conjunction is true or false. All squares are rectangles. A foot is inches. Conjunction: All squares are rectangles, and a foot is inches. The conjunction is true since both statements are true. Example: Write a disjunction using the two statements and determine whether the disjunction is true or false. Pine trees are evergreens. Giraffes are blue. Disjunction: Pine trees are evergreens, or giraffes are blue. The disjunction is true since one statement is true. Complete the statements for the conjunction and disjunction and determine whether the statement is true or false. 5. A triangle has three sides. An octagon has three sides. Conjunction: A triangle has three sides, and an octagon has three sides. Disjunction: A triangle has three sides, or an octagon has three sides. The conjunction is false. The disjunction is true since one of the statements is true. Write the conjunction and disjunction and determine whether the statement is true or false. 6. A parallelogram has opposite parallel sides. A square has four congruent sides. Conjunction: A parallelogram has opposite parallel sides, and a square has four congruent sides. Disjunction: A parallelogram has opposite parallel sides, or a square has four congruent sides. The conjunction is true. The disjunction is true. Saxon. All rights reserved. Saxon Geometry

UNIT 6: Connecting Algebra & Geometry through Coordinates

TASK: Vocabulary UNIT 6: Connecting Algebra & Geometry through Coordinates Learning Target: I can identify, define and sketch all the vocabulary for UNIT 6. Materials Needed: 4 pieces of white computer

Unit 3: Triangles and Polygons

Unit 3: Triangles and Polygons Background for Standard G.CO.9: Prove theorems about triangles. Objective: By the end of class, I should Example 1: Trapezoid on the coordinate plane below has the following

If two sides and the included angle of one triangle are congruent to two sides and the included angle of 4 Congruence

Postulates Through any two points there is exactly one line. Through any three noncollinear points there is exactly one plane containing them. If two points lie in a plane, then the line containing those

Angle Unit Definitions

ngle Unit Definitions Name lock Date Term Definition Notes Sketch D djacent ngles Two coplanar angles with a coon side, a coon vertex, and no coon interior points. Must be named with 3 letters OR numbers

Thomas Jefferson High School for Science and Technology Program of Studies TJ Math 1

Course Description: This course is designed for students who have successfully completed the standards for Honors Algebra I. Students will study geometric topics in depth, with a focus on building critical

U4 Polygon Notes January 11, 2017 Unit 4: Polygons

Unit 4: Polygons 180 Complimentary Opposite exterior Practice Makes Perfect! Example: Example: Practice Makes Perfect! Def: Midsegment of a triangle - a segment that connects the midpoints of two sides

Copyright 2009 Pearson Education, Inc. Chapter 9 Section 1 Slide 1 AND

Copyright 2009 Pearson Education, Inc. Chapter 9 Section 1 Slide 1 AND Chapter 9 Geometry Copyright 2009 Pearson Education, Inc. Chapter 9 Section 1 Slide 2 WHAT YOU WILL LEARN Points, lines, planes, and

Geometry/Trigonometry Unit 5: Polygon Notes Period:

Geometry/Trigonometry Unit 5: Polygon Notes Name: Date: Period: # (1) Page 270 271 #8 14 Even, #15 20, #27-32 (2) Page 276 1 10, #11 25 Odd (3) Page 276 277 #12 30 Even (4) Page 283 #1-14 All (5) Page

B. Algebraic Properties Reflexive, symmetric, transitive, substitution, addition, subtraction, multiplication, division

. efinitions 1) cute angle ) cute triangle 3) djacent angles 4) lternate exterior angles 5) lternate interior angles 6) ltitude of a triangle 7) ngle ) ngle bisector of a triangle 9) ngles bisector 10)

Contents. Lines, angles and polygons: Parallel lines and angles. Triangles. Quadrilaterals. Angles in polygons. Congruence.

Colegio Herma. Maths Bilingual Departament Isabel Martos Martínez. 2015 Contents Lines, angles and polygons: Parallel lines and angles Triangles Quadrilaterals Angles in polygons Congruence Similarity

Polygons, Congruence, Similarity Long-Term Memory Review Grade 8 Review 1

Review 1 1. In the diagram below, XYZ is congruent to CDE XYZ CDE. Y D E X Z C Complete the following statements: a) C b) XZ c) CDE d) YZ e) Z f) DC 2. In the diagram below, ABC is similar to DEF ABC DEF.

Geometry. Geometry is the study of shapes and sizes. The next few pages will review some basic geometry facts. Enjoy the short lesson on geometry.

Geometry Introduction: We live in a world of shapes and figures. Objects around us have length, width and height. They also occupy space. On the job, many times people make decision about what they know

Postulates, Theorems, and Corollaries. Chapter 1

Chapter 1 Post. 1-1-1 Through any two points there is exactly one line. Post. 1-1-2 Through any three noncollinear points there is exactly one plane containing them. Post. 1-1-3 If two points lie in a

8.1 Find Angle Measures in Polygons

VOCABULARY 8.1 Find Angle Measures in Polygons DIAGONAL Review: EQUILATERAL EQUIANGULAR REGULAR CLASSIFYING POLYGONS Polygon Interior Angle Theorem: The sum of the measures of the interior angles of a

Polygons - Part 1. Triangles

Polygons - Part 1 Triangles Introduction Complementary Angles: are two angles that add up to 90 Example: degrees A ADB = 65 degrees Therefore B + ADB BDC 65 deg 25 deg D BDC = 25 degrees C 90 Degrees Introduction

GEOMETRY POSTULATES AND THEOREMS. Postulate 1: Through any two points, there is exactly one line.

GEOMETRY POSTULATES AND THEOREMS Postulate 1: Through any two points, there is exactly one line. Postulate 2: The measure of any line segment is a unique positive number. The measure (or length) of AB

Geometry Practice. 1. Angles located next to one another sharing a common side are called angles.

Geometry Practice Name 1. Angles located next to one another sharing a common side are called angles. 2. Planes that meet to form right angles are called planes. 3. Lines that cross are called lines. 4.

ACT Math and Science - Problem Drill 11: Plane Geometry

ACT Math and Science - Problem Drill 11: Plane Geometry No. 1 of 10 1. Which geometric object has no dimensions, no length, width or thickness? (A) Angle (B) Line (C) Plane (D) Point (E) Polygon An angle

Geometry Quarter 4 Test Study Guide

Geometry Quarter 4 Test Study Guide 1. Write the if-then form, the converse, the inverse and the contrapositive for the given statement: All right angles are congruent. 2. Find the measures of angles A,

CORRELATION TO GEORGIA QUALITY CORE CURRICULUM FOR GEOMETRY (GRADES 9-12)

CORRELATION TO GEORGIA (GRADES 9-12) SUBJECT AREA: Mathematics COURSE: 27. 06300 TEXTBOOK TITLE: PUBLISHER: Geometry: Tools for a Changing World 2001 Prentice Hall 1 Solves problems and practical applications

6.1: Date: Geometry. Polygon Number of Triangles Sum of Interior Angles

6.1: Date: Geometry Polygon Number of Triangles Sum of Interior Angles Triangle: # of sides: # of triangles: Quadrilateral: # of sides: # of triangles: Pentagon: # of sides: # of triangles: Hexagon: #

coordinate Find the coordinates of the midpoint of a segment having the given endpoints. Big Ideas Geometry from one end of a line

G.(2) Coordinate and transformational geometry. The student uses the process skills to understand the connections between algebra and geometry and uses the one- and two-dimensional coordinate systems to

Geometry Fundamentals Midterm Exam Review Name: (Chapter 1, 2, 3, 4, 7, 12)

Geometry Fundamentals Midterm Exam Review Name: (Chapter 1, 2, 3, 4, 7, 12) Date: Mod: Use the figure at the right for #1-4 1. What is another name for plane P? A. plane AE B. plane A C. plane BAD D. plane

Angle Unit Definition Packet

ngle Unit Definition Packet Name lock Date Term Definition Notes Sketch djacent ngles Two angles with a coon, a coon you normay name and, and no coon interior points. 3 4 3 and 4 Vertical ngles Two angles

A calculator, scrap paper, and patty paper may be used. A compass and straightedge is required.

The Geometry and Honors Geometry Semester examination will have the following types of questions: Selected Response Student Produced Response (Grid-in) Short nswer calculator, scrap paper, and patty paper

( ) A calculator may be used on the exam. The formulas below will be provided in the examination booklet.

The Geometry and Honors Geometry Semester examination will have the following types of questions: Selected Response Student Produced Response (Grid-in) Short nswer calculator may be used on the exam. The

1. Revision Description Reflect and Review Teasers Answers Recall of basics of triangles, polygons etc. Review Following are few examples of polygons:

1. Revision Recall of basics of triangles, polygons etc. The minimum number of line segments required to form a polygon is 3. 1) Name the polygon formed with 4 line segments of equal length. 1) Square

Explore 2 Exploring Interior Angles in Polygons

Explore 2 Exploring Interior Angles in Polygons To determine the sum of the interior angles for any polygon, you can use what you know about the Triangle Sum Theorem by considering how many triangles there

PROPERTIES OF TRIANGLES AND QUADRILATERALS (plus polygons in general)

Mathematics Revision Guides Properties of Triangles, Quadrilaterals and Polygons Page 1 of 15 M.K. HOME TUITION Mathematics Revision Guides Level: GCSE Foundation Tier PROPERTIES OF TRIANGLES AND QUADRILATERALS

MPM1D Page 1 of 6. length, width, thickness, area, volume, flatness, infinite extent, contains infinite number of points. A part of a with endpoints.

MPM1D Page 1 of 6 Unit 5 Lesson 1 (Review) Date: Review of Polygons Activity 1: Watch: http://www.mathsisfun.com/geometry/dimensions.html OBJECT Point # of DIMENSIONS CHARACTERISTICS location, length,

Geometry Level 1 Midterm Review Packet

Geometry L1 2017 Midterm Topic List Unit 1: Basics of Geometry 1. Point, Line, Plane 2. Segment Addition Postulate 3. Midpoint Formula, Distance Formula 4. Bisectors 5. Angle Pairs Unit 2: Logical Reasoning

Review Interior Angle Sum New: Exterior Angle Sum

Review Interior Angle Sum New: Exterior Angle Sum QUIZ: Prove that the diagonal connecting the vertex angles of a kite cut the kite into two congruent triangles. 1 Interior Angle Sum Formula: Some Problems

Geometry First Semester Practice Final (cont)

49. Determine the width of the river, AE, if A. 6.6 yards. 10 yards C. 12.8 yards D. 15 yards Geometry First Semester Practice Final (cont) 50. In the similar triangles shown below, what is the value of

ACCELERATED MATHEMATICS CHAPTER 9 GEOMETRIC PROPERTIES PART II TOPICS COVERED:

ACCELERATED MATHEMATICS CHAPTER 9 GEOMETRIC PROPERTIES PART II TOPICS COVERED: Measuring angles Complementary and supplementary angles Triangles (sides, angles, and side-angle relationships) Angle relationships

Convex polygon - a polygon such that no line containing a side of the polygon will contain a point in the interior of the polygon.

Chapter 7 Polygons A polygon can be described by two conditions: 1. No two segments with a common endpoint are collinear. 2. Each segment intersects exactly two other segments, but only on the endpoints.

6 Polygons and. Quadrilaterals CHAPTER. Chapter Outline.

www.ck12.org CHAPTER 6 Polygons and Quadrilaterals Chapter Outline 6.1 ANGLES IN POLYGONS 6.2 PROPERTIES OF PARALLELOGRAMS 6.3 PROVING QUADRILATERALS ARE PARALLELOGRAMS 6.4 RECTANGLES, RHOMBUSES AND SQUARES

Chapter 1. Essentials of Geometry

Chapter 1 Essentials of Geometry 1.1 Identify Points, Lines, and Planes Objective: Name and sketch geometric figures so you can use geometry terms in the real world. Essential Question: How do you name

Math 7, Unit 8: Geometric Figures Notes

Math 7, Unit 8: Geometric Figures Notes Points, Lines and Planes; Line Segments and Rays s we begin any new topic, we have to familiarize ourselves with the language and notation to be successful. My guess

STANDARDS OF LEARNING CONTENT REVIEW NOTES GEOMETRY. 3 rd Nine Weeks,

STANDARDS OF LEARNING CONTENT REVIEW NOTES GEOMETRY 3 rd Nine Weeks, 2016-2017 1 OVERVIEW Geometry Content Review Notes are designed by the High School Mathematics Steering Committee as a resource for

1.1 Building Blocks of Geometry

1.1 uilding locks of Geometry Name Definition Picture Short Rorm Point A location in space The point P Line An infinite number of points extending in two directions. A line only has length. T M TM Ray

Lesson Polygons

Lesson 4.1 - Polygons Obj.: classify polygons by their sides. classify quadrilaterals by their attributes. find the sum of the angle measures in a polygon. Decagon - A polygon with ten sides. Dodecagon

High School Geometry

High School Geometry This course covers the topics shown below; new topics have been highlighted. Students navigate learning paths based on their level of readiness. Institutional users may customize the

Definition: Convex polygon A convex polygon is a polygon in which the measure of each interior angle is less than 180º.

Definition: Convex polygon A convex polygon is a polygon in which the measure of each interior angle is less than 180º. Definition: Convex polygon A convex polygon is a polygon in which the measure of

DO NOT LOSE THIS REVIEW! You will not be given another copy.

Geometry Fall Semester Review 2011 Name: O NOT LOS THIS RVIW! You will not be given another copy. The answers will be posted on your teacher s website and on the classroom walls. lso, review the vocabulary

1. AREAS. Geometry 199. A. Rectangle = base altitude = bh. B. Parallelogram = base altitude = bh. C. Rhombus = 1 product of the diagonals = 1 dd

Geometry 199 1. AREAS A. Rectangle = base altitude = bh Area = 40 B. Parallelogram = base altitude = bh Area = 40 Notice that the altitude is different from the side. It is always shorter than the second

Chapter 1 Section 1- Points and Lines as Locations Synthetic Geometry

Chapter 1 Section 1- Points and Lines as Locations Synthetic Geometry A geometry studied without the use of coordinates. Coordinate The number or numbers associated with the location of a point on a line,

An Approach to Geometry (stolen in part from Moise and Downs: Geometry)

An Approach to Geometry (stolen in part from Moise and Downs: Geometry) Undefined terms: point, line, plane The rules, axioms, theorems, etc. of elementary algebra are assumed as prior knowledge, and apply

Math Handbook of Formulas, Processes and Tricks. Geometry

Math Handbook of Formulas, Processes and Tricks (www.mathguy.us) Prepared by: Earl L. Whitney, FSA, MAAA Version 3.1 October 3, 2017 Copyright 2010 2017, Earl Whitney, Reno NV. All Rights Reserved Handbook

Geometry Unit 5 - Notes Polygons

Geometry Unit 5 - Notes Polygons Syllabus Objective: 5.1 - The student will differentiate among polygons by their attributes. Review terms: 1) segment 2) vertex 3) collinear 4) intersect Polygon- a plane

Math 7, Unit 08: Geometric Figures Notes

Math 7, Unit 08: Geometric Figures Notes Points, Lines and Planes; Line Segments and Rays s we begin any new topic, we have to familiarize ourselves with the language and notation to be successful. My

B = the maximum number of unique scalene triangles having all sides of integral lengths and perimeter less than 13

GEOMETRY TEAM #1 A = the m C in parallelogram ABCD with m B= (4x+ 15), m D= (6x+ ) B = the degree measure of the smallest angle in triangle ABC with m A= ( x+ 0), m B= ( x+ 7), m C= (x 15) Find the value

Name: Second semester Exam Honors geometry Agan and Mohyuddin. May 13, 2014

Name: Second semester Exam Honors geometry Agan and Mohyuddin May 13, 2014 1. A circular pizza has a diameter of 14 inches and is cut into 8 equal slices. To the nearest tenth of a square inch, which answer

Geometry Semester 1 REVIEW Must show all work on the Review and Final Exam for full credit.

Geometry Semester 1 REVIEW Must show all work on the Review and Final Exam for full credit. NAME UNIT 1: 1.6 Midpoint and Distance in the Coordinate Plane 1. What are the coordinates of the midpoint of

COURSE OBJECTIVES LIST: GEOMETRY

COURSE OBJECTIVES LIST: GEOMETRY Geometry Honors is offered. PREREQUISITES: All skills from Algebra I are assumed. A prerequisites test is given during the first week of class to assess knowledge of these

GEOMETRY STANDARDS. August 2009 Geometry 1

STANDARDS The DoDEA high school mathematics program centers around six courses which are grounded by rigorous standards. Two of the courses, AP Calculus and AP Statistics, are defined by a course syllabus

TOPIC 2 Building Blocks of Geometry. Good Luck To

Good Luck To Period Date PART I DIRECTIONS: Use the Terms (page 2), Definitions (page 3), and Diagrams (page 4) to complete the table Term (capital letters) 1. Chord 2. Definition (roman numerals) Pictures

Unit 1 Basic Skills Review BEDMAS a way of remembering order of operations: Brackets, Exponents, Division, Multiplication, Addition, Subtraction Collect like terms gather all like terms and simplify as

NORTH HAVEN HIGH SCHOOL. Applied Geometry (Level 1) Summer Assignment 2017

NORTH HAVEN HIGH SCHOOL 221 Elm Street North Haven, CT 06473 June 2017 Applied Geometry (Level 1) Summer Assignment 2017 Dear Parents, Guardians, and Students, The Geometry curriculum builds on geometry

Understanding Quadrilaterals Parallelogram: A quadrilateral with each pair of opposite sides parallel. Properties: (1) Opposite sides are equal. (2) Opposite angles are equal. (3) Diagonals bisect one

Geometry Curriculum Guide Dunmore School District Dunmore, PA

Geometry Dunmore School District Dunmore, PA Geometry Prerequisite: Successful completion Algebra I This course is designed for the student who has successfully completed Algebra I. The course content

Answer Key. 1.1 Basic Geometric Definitions. Chapter 1 Basics of Geometry. CK-12 Geometry Concepts 1

1.1 Basic Geometric Definitions 1. WX, XW, WY, YW, XY, YX and line m. 2. Plane V, Plane RST, Plane RTS, Plane STR, Plane SRT, Plane TSR, and Plane TRS. 3. 4. A Circle 5. PQ intersects RS at point Q 6.

Show all work on a separate sheet of paper.

Sixth Grade Review 15: Geometric Shapes & Angles Name: Show all work on a separate sheet of paper. Geometry Word Bank Obtuse Angle Right Angle Acute Angle Straight Angle Pentagon Octagon Decagon Scalene

Unit 4 Syllabus: Properties of Triangles & Quadrilaterals

` Date Period Unit 4 Syllabus: Properties of Triangles & Quadrilaterals Day Topic 1 Midsegments of Triangle and Bisectors in Triangles 2 Concurrent Lines, Medians and Altitudes, and Inequalities in Triangles

15. K is the midpoint of segment JL, JL = 4x - 2, and JK = 7. Find x, the length of KL, and JL. 8. two lines that do not intersect

Name: Period Date Pre-AP Geometry Fall Semester Exam REVIEW *Chapter 1.1 Points Lines Planes Use the figure to name each of the following: 1. three non-collinear points 2. one line in three different ways

Key Vocabulary Index. Key Vocabulary Index

Key Vocabulary Index Mathematical terms are best understood when you see them used and defined in context. This index lists where you will find key vocabulary. A full glossary is available in your Record

The Geometry Semester A Examination will have the following types of items:

The Geometry Semester Examination will have the following types of items: Selected Response Student Produced Response (Grid-Ins) Short nswer calculator and patty paper may be used. compass and straightedge

Answer each of the following problems. Make sure to show your work. Points D, E, and F are collinear because they lie on the same line in the plane.

Answer each of the following problems. Make sure to show your work. Notation 1. Given the plane DGF in the diagram, which points are collinear? Points D, E, and F are collinear because they lie on the

Geometry Advanced Fall Semester Exam Review Packet -- CHAPTER 1

Name: Class: Date: Geometry Advanced Fall Semester Exam Review Packet -- CHAPTER Multiple Choice. Identify the choice that best completes the statement or answers the question.. Which statement(s) may

Geometry Honors. Midterm Review

eometry onors Midterm Review lass: ate: eometry onors Midterm Review Multiple hoice Identify the choice that best completes the statement or answers the question. 1 What is the contrapositive of the statement

Test Review: Geometry I TEST DATE: ALL CLASSES TUESDAY OCTOBER 6

Test Review: Geometry I TEST DATE: ALL CLASSES TUESDAY OCTOBER 6 Notes to Study: Notes A1, B1, C1, D1, E1, F1, G1 Homework to Study: Assn. 1, 2, 3, 4, 5, 6, 7 Things it would be a good idea to know: 1)

Understand the concept of volume M.TE Build solids with unit cubes and state their volumes.

Strand II: Geometry and Measurement Standard 1: Shape and Shape Relationships - Students develop spatial sense, use shape as an analytic and descriptive tool, identify characteristics and define shapes,

Classroom Assessments Based on Standards Geometry Chapter 1 Assessment Model GML201

Classroom Assessments Based on Standards Geometry Chapter 1 Assessment Model GML201 Student Name: Teacher Name: ID Number: Date 1. You work for the highway department for your county board. You are in

Mathematics Revision Guides Properties of Triangles, Quadrilaterals and Polygons Page 1 of 22 M.K. HOME TUITION Mathematics Revision Guides Level: GCSE Higher Tier PROPERTIES OF TRIANGLES AND QUADRILATERALS

BENCHMARK Name Points, Lines, Segments, and Rays. Name Date. A. Line Segments BENCHMARK 1

A. Line Segments (pp. 1 5) In geometry, the words point, line and plane are undefined terms. They do not have formal definitions but there is agreement about what they mean. Terms that can be described

Assignment List. Chapter 1 Essentials of Geometry. Chapter 2 Reasoning and Proof. Chapter 3 Parallel and Perpendicular Lines

Geometry Assignment List Chapter 1 Essentials of Geometry 1.1 Identify Points, Lines, and Planes 5 #1, 4-38 even, 44-58 even 27 1.2 Use Segments and Congruence 12 #4-36 even, 37-45 all 26 1.3 Use Midpoint

Section 1-1 Points, Lines, and Planes

Section 1-1 Points, Lines, and Planes I CAN. Identify and model points, lines, and planes. Identify collinear and coplanar points and intersecting lines and planes in space. Undefined Term- Words, usually

Appendix E. Plane Geometry

Appendix E Plane Geometry A. Circle A circle is defined as a closed plane curve every point of which is equidistant from a fixed point within the curve. Figure E-1. Circle components. 1. Pi In mathematics,

Geometry Definitions, Postulates, and Theorems. Chapter 3: Parallel and Perpendicular Lines. Section 3.1: Identify Pairs of Lines and Angles.

Geometry Definitions, Postulates, and Theorems Chapter : Parallel and Perpendicular Lines Section.1: Identify Pairs of Lines and Angles Standards: Prepare for 7.0 Students prove and use theorems involving

10) the plane in two different ways Plane M or DCA (3 non-collinear points) Use the figure to name each of the following:

Name: Period Date Pre-AP Geometry Fall 2015 Semester Exam REVIEW *Chapter 1.1 Points Lines Planes Use the figure to name each of the following: 1) three non-collinear points (A, C, B) or (A, C, D) or any

Geometry SIA #2. Name: Class: Date: Multiple Choice Identify the choice that best completes the statement or answers the question.

Class: Date: Geometry SIA #2 Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Find the value of x. a. 4 b. 8 c. 6.6 d. 6 2. Find the length of the midsegment.

Last Edit Page 1

G.(2) Coordinate and transformational geometry. The student uses the process skills to understand the connections between algebra and geometry and uses the oneand two-dimensional coordinate systems to

November 10, 2004 : Fax:

Honors Geometry Issue Super Mathter November 0, 004 : 30-0-6030 Fax: 30--864 For class info, visit www.mathenglish.com irect your questions and comments to rli@smart4micro.com Name: Peter Lin Peter Lin

Name: Period 1/4/11 1/20/11 GH

Name: Period 1/4/11 1/20/11 UNIT 10: QURILTERLS N POLYONS I can define, identify and illustrate the following terms: Quadrilateral Parallelogram Rhombus Rectangle Square Trapezoid Isosceles trapezoid Kite

Teacher Annotated Edition. Study Notebook

Teacher Annotated Edition Study Notebook Copyright by The McGraw-Hill Companies, Inc. All rights reserved. Except as permitted under the United States Copyright Act, no part of this publication may be

A VERTICAL LOOK AT KEY CONCEPTS AND PROCEDURES GEOMETRY. Texas Education Agency

A VERTICAL LOOK AT KEY CONCEPTS AND PROCEDURES GEOMETRY Texas Education Agency The materials are copyrighted (c) and trademarked (tm) as the property of the Texas Education Agency (TEA) and may not be

Geometry CP Constructions Part I Page 1 of 4. Steps for copying a segment (TB 16): Copying a segment consists of making segments.

Geometry CP Constructions Part I Page 1 of 4 Steps for copying a segment (TB 16): Copying a segment consists of making segments. Geometry CP Constructions Part I Page 2 of 4 Steps for bisecting a segment

UNDERSTANDING QUADRILATERALS 37 Understanding Quadrilaterals CHAPTER 3 3.1 Introduction You know that the paper is a model for a plane surface. When you join a number of points without lifting a pencil

Quarter 1 Study Guide Honors Geometry

Name: Date: Period: Topic 1: Vocabulary Quarter 1 Study Guide Honors Geometry Date of Quarterly Assessment: Define geometric terms in my own words. 1. For each of the following terms, choose one of the

GEOMETRY APPLICATIONS

GEOMETRY APPLICATIONS Chapter 3: Parallel & Perpendicular Lines Name: Teacher: Pd: 0 Table of Contents DAY 1: (Ch. 3-1 & 3-2) SWBAT: Identify parallel, perpendicular, and skew lines. Identify the angles

Day 2 [Number Patterns 1.2A/Visual Patterns] Day 3 [Battleship Sample A in class together] [Number Patterns 1.2B/BS1

Unit 1 Patterns Day 1 Inductive Reasoning 1.1 Define process of observing data, recognizing patterns, making generalizations (conjecture) Examples: meaning of hot, location of hot and cold faucets, Coincidence

, Geometry, Quarter 1

2017.18, Geometry, Quarter 1 The following Practice Standards and Literacy Skills will be used throughout the course: Standards for Mathematical Practice Literacy Skills for Mathematical Proficiency 1.

FLORIDA GEOMETRY EOC TOOLKIT

FLORIDA GEOMETRY EOC TOOLKIT CORRELATION Correlated to the Geometry End-of-Course Benchmarks For more information, go to etacuisenaire.com\florida 78228IS ISBN 978-0-7406-9565-0 MA.912.D.6.2 Find the converse,

TEACHER CERTIFICATION STUDY GUIDE KNOWLEDGE OF MATHEMATICS THROUGH SOLVING...1

TABLE OF CONTENTS COMPETENCY/SKILLS PG # COMPETENCY 1 KNOWLEDGE OF MATHEMATICS THROUGH PROBLEM SOLVING...1 Skill 1.1 Skill 1.2 Skill 1.3 Skill 1.4 Identify appropriate mathematical problems from real-world

NAME DATE PERIOD. A#1: Angles of Polygons

NAME DATE PERIOD A#1: Angles of Polygons Angle Sum of a Regular or Irregular Polygon Interior Angles Exterior Angles One Angle Measure of a Regular Polygon Find the sum of the measures of the interior

4-1. Classifying Triangles. Lesson 4-1. What You ll Learn. Active Vocabulary

4-1 Classifying Triangles What You ll Learn Scan Lesson 4-1. Predict two things that you expect to learn based on the headings and the Key Concept box. 1. Active Vocabulary 2. New Vocabulary Label the

C C. lines QS and AC D. lines AC and UR

Pre-P Geometry Fall Semester xam Review. What is the coordinate of the midpoint of F if point F is at 0 and point is at 6?. 3.. 3. 0. Point U is between points T and. If TU = 4x 5, U = x +, and T = 5x,

Geometry Cheat Sheet

Geometry Cheat Sheet Chapter 1 Postulate 1-6 Segment Addition Postulate - If three points A, B, and C are collinear and B is between A and C, then AB + BC = AC. Postulate 1-7 Angle Addition Postulate -

Geometry Skills. Topic Outline. Course Description and Philosophy

Geometry Skills Topic Outline Course Description and Philosophy Geometry Skills is the second course in the 3-year skills sequence, following Algebra Skills, and preceding Algebra II Skills. This course