Study Guide and Review
|
|
- Aubrie Watts
- 5 years ago
- Views:
Transcription
1 Fill in the blank in each sentence with the vocabulary term that best completes the sentence 1 A is a flat surface made up of points that extends infinitely in all directions A plane is a flat surface made up of points that extends infinitely in all directions Therefore, the correct answer is plane 2 A set of points that all lie on the same line are said to be A set of points that all lie on the same line are said to be collinear points Therefore, the correct answer is collinear 3 If two lines intersect to form four right angles, the lines are called If two lines intersect to form four right angles, the lines are called perpendicular 7 Name a point that is not contained in any of the three lines a, b, or c Here, W is a point on the plane R and is not on any of the lines on the plane 8 Give another name for plane WPX 9 The plane WPX is also named as plane R Name the geometric term that is best modeled by each item In the figure, two flat surfaces intersect each other The two flat surfaces model two planes Since the intersection of two planes form a line, the item models a line 4 If the sum of the measures of two angles is 180, then the angles are called angles If the sum of the measures of two angles is 180, then the angles are called supplementary angles Use the figure to complete each of the following 10 Each bead denotes a location So, it models a point 5 Name the intersection of lines a and c The lines a and c intersect at the point P 6 Give another name for line b There are two point S and T marked on the line b So, the line b can also be called esolutions Manual - Powered by Cognero Page 1
2 Find the value of the variable and XP, if X is between P and Q 11 XQ = 13, XP = 5x 3, PQ = 40 Here X is between P and Q So, PQ = XP + XQ 14 P(2, 1) and Q(10, 7) We have XQ = 13, XP = 5x 3, and PQ = = x 3 30 = 5x 6 = x The distance between P and Q is or M(9, 2) and N( 1, 4) So, XP = 5(6) 3 = XQ = 3k, XP = 7k 2, PQ = 6k + 16 Here X is between P and Q So, PQ = XP + XQ We have XQ = 3k, XP = 7k 2, PQ = 6k k + 16 = 7k 2 + 3k 6k 10k = k = 18 k = 45 The distance between points M and N is 16 J(3, 2) and K(6, 5) So, XP = 7(45) 2 = 295 Find the distance between each pair of points 13 A( 3, 1) and B(7, 13) The distance between J and K is The distance between points A and B is esolutions Manual - Powered by Cognero Page 2
3 Find the coordinates of the midpoint of a segment with the given endpoints 18 L( 3, 16), M(17, 4) Use the Midpoint Formula Substitute Find the coordinates of the missing endpoint if M is the midpoint of 20 X( 11, 6), M(15, 4) Let the coordinates of Y be (x, y) Then by the Midpoint Formula, Write two equations to find the coordinates of Y The midpoint of is (7, 10) 19 C(32, 1), D(0, 12) Use the Midpoint Formula Substitute The midpoint of is (16, 65) The coordinates of Y are (41, 14) 21 M( 4, 8), Y(19, 0) Let the coordinates of X be (x, y) Then by the Midpoint Formula, Write two equations to find the coordinates of X The coordinates of X are ( 27, 16) esolutions Manual - Powered by Cognero Page 3
4 For Exercises 25 28, refer to the figure below 32 If m SXW = 5x 16, find the value of x so that Since 25 Name the vertex of 7 Here, 7 is same as the angle CGJ So, the vertex of the angle is G 26 Write another name for 4 Here, 4 is same as the CDG 27 Name the sides of 2 Here, 2 is same as the ACH Therefore, its sides are For Exercises 30 32, refer to the figure below 34 That is, 5x 16 = 90 Add 16 to both sides 5x = 106 Divide both sides by 5 x = 212 Name each polygon by its number of sides Then classify it as convex or concave and regular or irregular The polygon has 3 sides So, it is a triangle No line containing any of the sides will pass through the interior of the triangle, so it is convex All of the sides are congruent, so it is equilateral All of the angles are congruent, so it is equiangular Since the polygon is convex, equilateral, and equiangular, it is regular So this is a regular triangle 30 Name an angle supplementary to TVY Supplementary angles are two angles with measures that have a sum of 180 Here, TVR is supplementary to TVY 31 Name a pair of vertical angles with vertex W Vertical angles are two nonadjacent angles formed by two intersecting lines Here, QWP and XWV are a pair of vertically opposite angles esolutions Manual - Powered by Cognero Page 4
5 35 The polygon has 12 sides So, it is a dodecahedron Four of the lines containing the sides of the polygon will pass through the interior of the dodecahedron, so it is concave Only convex polygons can be regular, so this is an irregular dodecahedron esolutions Manual - Powered by Cognero Page 5
Parallel Lines: Two lines in the same plane are parallel if they do not intersect or are the same.
Section 2.3: Lines and Angles Plane: infinitely large flat surface Line: extends infinitely in two directions Collinear Points: points that lie on the same line. Parallel Lines: Two lines in the same plane
More informationObjectives. 6-1 Properties and Attributes of Polygons
Objectives Classify polygons based on their sides and angles. Find and use the measures of interior and exterior angles of polygons. side of a polygon vertex of a polygon diagonal regular polygon concave
More informationGeometry Reasons for Proofs Chapter 1
Geometry Reasons for Proofs Chapter 1 Lesson 1.1 Defined Terms: Undefined Terms: Point: Line: Plane: Space: Postulate 1: Postulate : terms that are explained using undefined and/or other defined terms
More informationGEOMETRY is the study of points in space
CHAPTER 5 Logic and Geometry SECTION 5-1 Elements of Geometry GEOMETRY is the study of points in space POINT indicates a specific location and is represented by a dot and a letter R S T LINE is a set of
More informationLine: It s a straight arrangement of points that extends indefinitely in opposite directions.
More Terminology and Notation: Plane: It s an infinitely large flat surface. Line: It s a straight arrangement of points that extends indefinitely in opposite directions. ollinear Points: Points that lie
More informationChapter 1-2 Points, Lines, and Planes
Chapter 1-2 Points, Lines, and Planes Undefined Terms: A point has no size but is often represented by a dot and usually named by a capital letter.. A A line extends in two directions without ending. Lines
More informationWarm-Up. Find the domain and range:
Warm-Up Find the domain and range: Geometry Vocabulary & Notation Point Name: Use only the capital letter, without any symbol. Line Name: Use any two points on the line with a line symbol above. AB Line
More informationTerm Definition Figure
Notes LT 1.1 - Distinguish and apply basic terms of geometry (coplanar, collinear, bisectors, congruency, parallel, perpendicular, etc.) Term Definition Figure collinear on the same line (note: you do
More informationWarm-Up Exercises. 1. Draw an acute angle and shade the interior. ANSWER. 2. Find the measure of the supplement of a 130º angle.
Warm-Up Exercises 1. Draw an acute angle and shade the interior. ANSWER 2. Find the measure of the supplement of a 130º angle. ANSWER 50 3. Find the measure of the complement of an 86 angle. ANSWER 4 1.6
More informationChapter 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
More information6-1 Properties and Attributes of Polygons
6-1 Properties and Attributes of Polygons Warm Up Lesson Presentation Lesson Quiz Geometry Warm Up 1. A? is a three-sided polygon. triangle 2. A? is a four-sided polygon. quadrilateral Evaluate each expression
More informationa triangle with all acute angles acute triangle angles that share a common side and vertex adjacent angles alternate exterior angles
acute triangle a triangle with all acute angles adjacent angles angles that share a common side and vertex alternate exterior angles two non-adjacent exterior angles on opposite sides of the transversal;
More informationGeometry/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
More information1-1. Points, Lines, and Planes. Lesson 1-1. What You ll Learn. Active Vocabulary
1-1 Points, Lines, and Planes What You ll Learn Scan the text in Lesson 1-1. Write two facts you learned about points, lines, and planes as you scanned the text. 1. Active Vocabulary 2. New Vocabulary
More informationThere are two ways to name a line. What are the two ways?
Geometry: 1-1 Points, Lines and Planes What are the Undefined Terms? The Undefined Terms are: What is a Point? How is a point named? Example: What is a Line? A line is named two ways. What are the two
More informationUnit 10 Study Guide: Plane Figures
Unit 10 Study Guide: Plane Figures *Be sure to watch all videos within each lesson* You can find geometric shapes in art. Whether determining the amount of leading or the amount of glass needed for a piece
More informationTerm Definition Figure
Geometry Unit 1 Packet - Language of Geometry Name: #: Video Notes LT 1.1 - Distinguish and apply basic terms of geometry (coplanar, collinear, bisectors, congruent, parallel, perpendicular, etc.) Term
More informationGeometry Lesson 1-1: Identify Points, Lines, and Planes Name Hr Pg. 5 (1, 3-22, 25, 26)
Geometry Lesson 1-1: Identify Points, Lines, and Planes Name Hr Pg. 5 (1, 3-22, 25, 26) Learning Target: At the end of today s lesson we will be able to successfully name and sketch geometric figures.
More informationA closed plane figure with at least 3 sides The sides intersect only at their endpoints. Polygon ABCDEF
A closed plane figure with at least 3 sides The sides intersect only at their endpoints B C A D F E Polygon ABCDEF The diagonals of a polygon are the segments that connects one vertex of a polygon to another
More informationMath 3315: Geometry Vocabulary Review Human Dictionary: WORD BANK
Math 3315: Geometry Vocabulary Review Human Dictionary: WORD BANK [acute angle] [acute triangle] [adjacent interior angle] [alternate exterior angles] [alternate interior angles] [altitude] [angle] [angle_addition_postulate]
More informationPolygon. Note: Each segment is called a side. Each endpoint is called a vertex.
Polygons Polygon A closed plane figure formed by 3 or more segments. Each segment intersects exactly 2 other segments at their endpoints. No 2 segments with a common endpoint are collinear. Note: Each
More informationMoore Catholic High School Math Department
Moore Catholic High School Math Department Geometry Vocabulary The following is a list of terms and properties which are necessary for success in a Geometry class. You will be tested on these terms during
More informationChapter Review. In the figure shown, m n and r is a transversal. If m 4 = 112, find the measure of each angle. Explain your reasoning.
In the figure shown, m n and r is a transversal. If m 4 = 112, find the measure of each angle. Explain your reasoning. 1. 6 Since 4 and 6 are alternate interior angles, they are congruent. So, m 6 = 112.
More informationTOPIC 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
More informationElementary Planar Geometry
Elementary Planar Geometry What is a geometric solid? It is the part of space occupied by a physical object. A geometric solid is separated from the surrounding space by a surface. A part of the surface
More informationPractice Test - Chapter 4. Classify each triangle as acute, equiangular, obtuse, or right.
Classify each triangle as acute, equiangular, obtuse, or right. 1. Since has three congruent sides, it has three congruent angles. Therefore it is equiangular (and equilateral). 2. is a right triangle,
More informationNAME DATE PERIOD. Study Guide and Intervention
NM T IO 1-5 tudy Guide and Intervention ngle elationships airs of ngles djacent angles are two angles that lie in the same plane and have a common vertex and a common side, but no common interior points.
More informationProving Theorems about Lines and Angles
Proving Theorems about Lines and Angles Angle Vocabulary Complementary- two angles whose sum is 90 degrees. Supplementary- two angles whose sum is 180 degrees. Congruent angles- two or more angles with
More informationB. Section 1.1. Chapter 1 Review Booklet A. Vocabulary Match the vocabulary term with its definition. 3. A pair of opposite rays on line p.
A. Vocabulary Match the vocabulary term with its definition. Point Polygon Angle Sides Postulate Collinear Opposite Rays Vertical angles Coplanar Linear Pair Complementary Vertex Line Adjacent Plane Distance
More informationObjectives: (What You ll Learn) Identify and model points, lines, planes Identify collinear and coplanar points, intersecting lines and planes
Geometry Chapter 1 Outline: Points, Lines, Planes, & Angles A. 1-1 Points, Lines, and Planes (What You ll Learn) Identify and model points, lines, planes Identify collinear and coplanar points, intersecting
More informationMoore Catholic High School Math Department
Moore Catholic High School Math Department Geometry Vocabulary The following is a list of terms and properties which are necessary for success in a Geometry class. You will be tested on these terms during
More information4.1 TRIANGLES AND ANGLES
4.1 TRIANGLES AND ANGLES polygon- a closed figure in a plane that is made up of segments, called sides, that intersect only at their endpoints, called vertices Can you name these? triangle- a three-sided
More informationLesson 7.1. Angles of Polygons
Lesson 7.1 Angles of Polygons Essential Question: How can I find the sum of the measures of the interior angles of a polygon? Polygon A plane figure made of three or more segments (sides). Each side intersects
More informationMaintaining Mathematical Proficiency
Name Date Chapter 1 Maintaining Mathematical Proficiency Simplify the expression. 1. 3 + ( 1) = 2. 10 11 = 3. 6 + 8 = 4. 9 ( 1) = 5. 12 ( 8) = 6. 15 7 = + = 8. 5 ( 15) 7. 12 3 + = 9. 1 12 = Find the area
More informationVOCABULARY. Chapters 1, 2, 3, 4, 5, 9, and 8. WORD IMAGE DEFINITION An angle with measure between 0 and A triangle with three acute angles.
Acute VOCABULARY Chapters 1, 2, 3, 4, 5, 9, and 8 WORD IMAGE DEFINITION Acute angle An angle with measure between 0 and 90 56 60 70 50 A with three acute. Adjacent Alternate interior Altitude of a Angle
More informationGeometry ~ Chapter 1 Capacity Matrix
Geometry ~ Chapter 1 Capacity Matrix Learning Targets 1. Drawing and labeling the Geometry Vocabulary 2. Using the distance and midpoint formula 3. Classifying triangles and polygons Section Required Assignments
More informationIf lines m and n are parallel, we write. Transversal: A line that INTERSECTS two or more lines at 2
Unit 4 Lesson 1: Parallel Lines and Transversals Name: COMPLEMENTARY are angles to add up to 90 SUPPLEMENTARY are angles to add up to 180 These angles are also known as a LINEAR PAIR because they form
More informationpine cone Ratio = 13:8 or 8:5
Chapter 10: Introducing Geometry 10.1 Basic Ideas of Geometry Geometry is everywhere o Road signs o Carpentry o Architecture o Interior design o Advertising o Art o Science Understanding and appreciating
More informationIf B is the If two angles are
If If B is between A and C, then 1 2 If P is in the interior of RST, then If B is the If two angles are midpoint of AC, vertical, then then 3 4 If angles are adjacent, then If angles are a linear pair,
More informationUNIT 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
More informationGeometry Ch 7 Quadrilaterals January 06, 2016
Theorem 17: Equal corresponding angles mean that lines are parallel. Corollary 1: Equal alternate interior angles mean that lines are parallel. Corollary 2: Supplementary interior angles on the same side
More informationGeometry Midterm Review Vocabulary:
Name Date Period Geometry Midterm Review 2016-2017 Vocabulary: 1. Points that lie on the same line. 1. 2. Having the same size, same shape 2. 3. These are non-adjacent angles formed by intersecting lines.
More informationMth 97 Winter 2013 Sections 4.3 and 4.4
Section 4.3 Problem Solving Using Triangle Congruence Isosceles Triangles Theorem 4.5 In an isosceles triangle, the angles opposite the congruent sides are congruent. A Given: ABC with AB AC Prove: B C
More informationPolygons are named by the number of sides they have:
Unit 5 Lesson 1 Polygons and Angle Measures I. What is a polygon? (Page 322) A polygon is a figure that meets the following conditions: It is formed by or more segments called, such that no two sides with
More informationU4 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
More informationDear Parents/Students,
Dear Parents/Students, In the summer time, many necessary mathematical skills are lost due to the absence of daily exposure. The loss of skills may result in a lack of success and unnecessary frustration
More informationAn 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
More informationGeometry - Chapter 1 - Corrective #1
Class: Date: Geometry - Chapter 1 - Corrective #1 Short Answer 1. Sketch a figure that shows two coplanar lines that do not intersect, but one of the lines is the intersection of two planes. 2. Name two
More informationWriting Linear Equations
Writing Linear Equations Name: SHOW ALL WORK!!!!! For full credit, show all work on all problems! Write the slope-intercept form of the equation of each line. 1. 3x 2y = 16 2. 13x 11y = 12 3. 4x y = 1
More informationGeometry Midterm Review
Geometry Midterm Review **Look at Study Guide and old tests The Midterm covers: Chapter 1 Chapter 2 Chapter 3 Chapter 4 Chapter 5 Parts of Chapter 6 Chapter 1 1.1 point: - has no dimension - represented
More informationConvex 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.
More informationM2 GEOMETRY REVIEW FOR MIDTERM EXAM
M2 GEOMETRY REVIEW FOR MIDTERM EXAM #1-11: True or false? If false, replace the underlined word or phrase to make a true sentence. 1. Two lines are perpendicular if they intersect to form a right angle.
More informationGeometry Semester 1 Final Exam Study Guide FCS, Mr. Garcia
Name Date Period This is your semester 1 exam review study guide. It is designed for you to do a portion each day until the day of the exam. You may use the following formula to calculate your semester
More information1.1 Understanding the Undefined Terms
1.1 Understanding the Undefined Terms Undefined Terms There are three undefined terms in geometry, these words do not have a formal definition. The undefined terms are:,, and. Naming Points, Lines, and
More informationChapter 1: Essentials of Geometry
1.1 Identify Points, Lines, and Planes Chapter 1: Essentials of Geometry Point: Line: Collinear points: Coplanar points: Segment: Ray: Opposite rays: Example 1: Use the diagram at the right to answer the
More informationGEOMETRY SEMESTER 1 EXAM REVIEW
GEOMETRY SEMESTER 1 EXAM REVIEW Use the diagram to answer the following questions. 1. Find three points that are collinear. Name 2. Write three different names for line p. 3. Name a point not coplanar
More informationName Date Period. 1.1 Understanding the Undefined Terms
Name Date Period Lesson Objective: 1.1 Understanding the Undefined Terms Naming Points, Lines, and Planes Point Line Plane Collinear: Coplanar: 1. Give 2 other names for PQ and plane R. 2. Name 3 points
More informationDepartment: Course: Chapter 1
Department: Course: 2016-2017 Term, Phrase, or Expression Simple Definition Chapter 1 Comprehension Support Point Line plane collinear coplanar A location in space. It does not have a size or shape The
More informationVideos, Constructions, Definitions, Postulates, Theorems, and Properties
Videos, Constructions, Definitions, Postulates, Theorems, and Properties Videos Proof Overview: http://tinyurl.com/riehlproof Modules 9 and 10: http://tinyurl.com/riehlproof2 Module 9 Review: http://tinyurl.com/module9livelesson-recording
More informationUnit 1 Unit 1 A M. M.Sigley, Baker MS. Unit 1 Unit 1. 3 M.Sigley, Baker MS
A M S 1 2 G O E A B 3 4 LINE POINT Undefined No thickness Extends infinitely in two directions Designated with two points Named with two capital letters or Undefined No size Named with a capital letter
More informationAngle 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
More informationBENCHMARK 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
More informationMrs. Daniel s Geometry Vocab List
Mrs. Daniel s Geometry Vocab List Geometry Definition: a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space. Refectional Symmetry Definition:
More information1/25 Warm Up Find the value of the indicated measure
1/25 Warm Up Find the value of the indicated measure. 1. 2. 3. 4. Lesson 7.1(2 Days) Angles of Polygons Essential Question: What is the sum of the measures of the interior angles of a polygon? What you
More informationIndex COPYRIGHTED MATERIAL. Symbols & Numerics
Symbols & Numerics. (dot) character, point representation, 37 symbol, perpendicular lines, 54 // (double forward slash) symbol, parallel lines, 54, 60 : (colon) character, ratio of quantity representation
More informationUnit 5: Polygons and Quadrilaterals
Unit 5: Polygons and Quadrilaterals Scale for Unit 5 4 Through independent work beyond what was taught in class, students could (examples include, but are not limited to): - Research a unique building
More informationSegment Addition Postulate: If B is BETWEEN A and C, then AB + BC = AC. If AB + BC = AC, then B is BETWEEN A and C.
Ruler Postulate: The points on a line can be matched one to one with the REAL numbers. The REAL number that corresponds to a point is the COORDINATE of the point. The DISTANCE between points A and B, written
More informationThe side that is opposite the vertex angle is the base of the isosceles triangle.
Unit 5, Lesson 6. Proving Theorems about Triangles Isosceles triangles can be seen throughout our daily lives in structures, supports, architectural details, and even bicycle frames. Isosceles triangles
More informationLines Plane A flat surface that has no thickness and extends forever.
Lines Plane A flat surface that has no thickness and extends forever. Point an exact location Line a straight path that has no thickness and extends forever in opposite directions Ray Part of a line that
More information1. 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
More informationtheorems & postulates & stuff (mr. ko)
theorems & postulates & stuff (mr. ko) postulates 1 ruler postulate The points on a line can be matched one to one with the real numbers. The real number that corresponds to a point is the coordinate of
More informationDefinition: 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
More informationNAME DATE PER. GEOMETRY FALL SEMESTER REVIEW FIRST SIX WEEKS PART 1. A REVIEW OF ALGEBRA Find the correct answer for each of the following.
NAME ATE PER. GEOMETRY FALL SEMESTER REVIEW FIRST SIX WEEKS PART 1. A REVIEW OF ALGEBRA Find the correct answer for each of the following. 1. m = Solve for m : m 7 = -13 + m FIRST SIX-WEEKS REVIEW 2. x
More informationWritten by Pamela Jennett
Geometry Written by Pamela Jennett Editor: Collene Dobelmann Illustrator: Carmela Murray Designer/Production: Moonhee Pak/Carmela Murray Cover Designer: arbara Peterson rt Director: Tom Cochrane Project
More informationAnalytic Geometry Vocabulary Cards and Word Walls Important Notes for Teachers:
Analytic Geometry Vocabulary Cards and Word Walls Important Notes for Teachers: The vocabulary cards in this file reflect the vocabulary students taking Coordinate Algebra will need to know and be able
More informationBoardworks Ltd KS3 Mathematics. S1 Lines and Angles
1 KS3 Mathematics S1 Lines and Angles 2 Contents S1 Lines and angles S1.1 Labelling lines and angles S1.2 Parallel and perpendicular lines S1.3 Calculating angles S1.4 Angles in polygons 3 Lines In Mathematics,
More informationSTANDARDS 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
More informationUNIT 5 SIMILARITY AND CONGRUENCE
UNIT 5 SIMILARITY AND CONGRUENCE M2 Ch. 2, 3, 4, 6 and M1 Ch. 13 5.1 Parallel Lines Objective When parallel lines are cut by a transversal, I will be able to identify angle relationships, determine whether
More informationStudy Guide and Review
Choose the term that best matches the statement or phrase. a square of a whole number A perfect square is a square of a whole number. a triangle with no congruent sides A scalene triangle has no congruent
More informationWarm-Up Exercises. 1. If the measures of two angles of a triangle are 19º and 80º, find the measure of the third angle. ANSWER 81º
Warm-Up Exercises 1. If the measures of two angles of a triangle are 19º and 80º, find the measure of the third angle. 81º 2. Solve (x 2)180 = 1980. 13 Warm-Up Exercises 3. Find the value of x. 126 EXAMPLE
More information2) Draw a labeled example of : a) a ray b) a line c) a segment. 5) Which triangle congruency conjecture would be used for each of the following?
eometry Semester Final Review Name Period ) raw an example of four collinear points. 2) raw a labeled example of : a) a ray b) a line c) a segment 3) Name this angle four ways: 4) raw a concave polygon
More information1.6 Classifying Polygons
www.ck12.org Chapter 1. Basics of Geometry 1.6 Classifying Polygons Learning Objectives Define triangle and polygon. Classify triangles by their sides and angles. Understand the difference between convex
More informationTest for the unit is 8/21 Name:
Angles, Triangles, Transformations and Proofs Packet 1 Notes and some practice are included Homework will be assigned on a daily basis Topics Covered: Vocabulary Angle relationships Parallel Lines & Transversals
More information1-5 Angle Relationships. Name an angle pair that satisfies each condition.
Name an angle pair that satisfies each condition 1 two acute vertical angles Vertical angles are two nonadjacent angles formed by two intersecting lines You can use the corner of a piece of paper to see
More informationHigh School Geometry. Correlation of the ALEKS course High School Geometry to the ACT College Readiness Standards for Mathematics
High School Geometry Correlation of the ALEKS course High School Geometry to the ACT College Readiness Standards for Mathematics Standard 5 : Graphical Representations = ALEKS course topic that addresses
More informationNovember 21, Angles of Triangles
Geometry Essential Question How are the angle measures of a triangle related? Goals Day 1 Classify triangles by their sides Classify triangles by their angles Identify parts of triangles. Find angle measures
More informationSection 9.1. Points, Lines, Planes, and Angles. Copyright 2013, 2010, 2007, Pearson, Education, Inc.
Section 9.1 Points, Lines, Planes, and Angles What You Will Learn Points Lines Planes Angles 9.1-2 Basic Terms A point, line, and plane are three basic terms in geometry that are NOT given a formal definition,
More informationReteaching Transversals and Angle Relationships
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
More informationGEOMETRY R Unit 2: Angles and Parallel Lines
GEOMETRY R Unit 2: Angles and Parallel Lines Day Classwork Homework Friday 9/15 Unit 1 Test Monday 9/18 Tuesday 9/19 Angle Relationships HW 2.1 Angle Relationships with Transversals HW 2.2 Wednesday 9/20
More informationThe SAS Postulate requires the same information as the LL Theorem, so it can be used to prove two right triangles congruent.
State whether each sentence is or false. If false, replace the underlined word or phrase to make a sentence. 1. The vertex angles of an isosceles triangle are false; The base angles of an isosceles triangle
More informationUNIT 1 SIMILARITY, CONGRUENCE, AND PROOFS Lesson 10: Proving Theorems About Parallelograms Instruction
Prerequisite Skills This lesson requires the use of the following skills: applying angle relationships in parallel lines intersected by a transversal applying triangle congruence postulates applying triangle
More informationAngles of Polygons. Essential Question What is the sum of the measures of the interior angles of a polygon?
7.1 Angles of Polygons Essential Question What is the sum of the measures of the interior angles of a polygon? The Sum of the Angle Measures of a Polygon Work with a partner. Use dynamic geometry software.
More informationChapter 3 Final Review
Class: Date: Chapter 3 Final Review Multiple Choice Identify the choice that best completes the statement or answers the question. Find the sum of the interior angle measures of the polygon. 1. a. 360
More informationIdentify parallel lines, skew lines and perpendicular lines.
Learning Objectives Identify parallel lines, skew lines and perpendicular lines. Parallel Lines and Planes Parallel lines are coplanar (they lie in the same plane) and never intersect. Below is an example
More informationGeometry Note-Sheet Overview
Geometry Note-Sheet Overview 1. Logic a. A mathematical sentence is a sentence that states a fact or contains a complete idea. Open sentence it is blue x+3 Contains variables Cannot assign a truth variable
More informationLesson 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
More informationCambridge Essentials Mathematics Core 9 GM1.1 Answers. 1 a
GM1.1 Answers 1 a b 2 Shape Name Regular Irregular Convex Concave A Decagon B Octagon C Pentagon D Quadrilateral E Heptagon F Hexagon G Quadrilateral H Triangle I Triangle J Hexagon Original Material Cambridge
More informationGeometry Unit 6 Properties of Quadrilaterals Classifying Polygons Review
Geometry Unit 6 Properties of Quadrilaterals Classifying Polygons Review Polygon a closed plane figure with at least 3 sides that are segments -the sides do not intersect except at the vertices N-gon -
More informationGeometry Review. IM3 Ms. Peralta
Geometry Review IM3 Ms. Peralta Ray: is a part of a line that consists of an endpoint, and all points on one side of the endpoint. P A PA Opposite Rays: are two rays of the same line with a common endpoint
More informationSection 1.1 Notes. Points - have no size or dimension and named using capital letters A
Section 1.1 Notes Building Blocks of Geometry Undefined Terms: Points - have no size or dimension and named using capital letters A Lines - have no thickness (1D) and extend forever. Named using 2 points
More information