November 10, 2004 : Fax:

Save this PDF as:
 WORD  PNG  TXT  JPG

Size: px
Start display at page:

Download "November 10, 2004 : Fax:"

Transcription

1 Honors Geometry Issue Super Mathter November 0, 004 : Fax: For class info, visit irect your questions and comments to Name: Peter Lin Peter Lin SUPPLEMENTRY N MPLEMENTRY NGLES... VERTIL NGLES... 3 NGLE ISETRS... 6 PRLLEL LINES N NGLES...0 STNR TEST...

2 Supplementary and omplementary ngles When the two sides of an angle form a straight line, the angle is called a straight angle or flat angle. Specifically, the angle is measured to be o Honors Geometry Issue [Linear Pair Postulate] Two angles of a linear pair are supplementary to each other.. What should be the value of x in the figure? x 0 o Straight angle is 80. Right angle is 90. right angle notation, it stands for 90 o right angle is special, it also has a special notation. Instead of writing 90 at the angle, we draw a small square near the angle vertex. oth and are right angles in the figure. Each angle of a rectangle is a right angle. 90 o 90 o 90 o If the sum of two angles is 90, we called them complementary angles. Namely, + = 90 and are complementary. If the sum of two angles is 80, we called them supplementary angles. Namely, + = 80 and are supplementary.

3 Vertical ngles efinition: vertical angle In the figure, and are called vertical angles since their sides form two crossing lines and they stay on the opposite sides of the vertex. 3 4 Honors Geometry Issue Question set [4-7] vertical angles NT vertical angles Two lines L and M intersect. Given that = L 4. Find the measure of and state the reason. M Then =, namely, vertical angles are congruent.. For, name the vertical angle and adjacent angle.. Find the measure of 3 and state the reason and 3 are called _, so are and 4. Each pair of angles are _. 3. List all pairs of adjacent and vertical angles Find the measure of 4 and state the reason. 3

4 Honors Geometry Issue Question set [8-7]. n angle is equal to its complementary onceptual and computational problems. angle, what is the measure of this angle? 8. If two angles are complementary to the same angle, then they must be congruent. Is this statement always true? 3. What is the complementary angle for 3? What is the supplementary for 3? 9. If an angle has 60 as its complementary angle, what is its supplementary angle? 0. n angle is twice of its complementary angle, what is the measure of this angle? 4. n angle is two times the complementary angle of 40. What is the measure of this angle?. n angle is twice its supplementary angle, what is the measure of this angle?. Given: line EF bisects as shown in the figure, namely, 3 = 4. Prove: =. E 3 4 F 4

5 Honors Geometry Issue 6. oth and are right angles. = 40. Find the measure of. 40 o 7. s the figure shows, bisects, which is a right angle. Find the measures of. E 8. What is the measure of? (60 - x) o o (3x + ) o

6 ngle isectors efinition: angle bisector ngle bisector divides an angle equally. The ray divides the angle evenly into two congruent angles: and, so is called the angle bisector of. Honors Geometry Issue. What should be the value for x in the figure? 60 o x bisects an angle Question set [9 - ] Find the value of x in each of the following. 9. What is the measure of x in the figure?. Find the value of x. x- 3x+ x 40 o 0. is a straight angle (80 ), and divide the entire angle into three congruent angles, what should be the value for x? Question set [3-8] onceptual and computational problems. 3. and are called. x x x 6

7 4. Two angles are if they add up to be 90. Honors Geometry Issue 8. Is it true that a straight angle is twice a right angle?. Two angles are if they add up to be 80. Question set [9-30] and are linear pair. bisects and E bisects. E 6. What angles are supplementary to? 9. Given that = 40, what is the measure of? Prove that + = 90 regardless of the measure of. 7. If bisects, what is the measure of? o o Question set [3-3] omputational problems. 7

8 3. bisects. If = 30, find the value for x. Honors Geometry Issue 34. E is bisected by and is bisected by. Find the value for x. x o 30 o E 0 o x 3. is bisected by in the figure. If E = 00, find the value for x. x o 00 o E 3. P is a point on E. P bisects P. P bisects PE. Find the measure of P. E o P o x x 33. s in the following figure, is it true that x = y? Name of an angle: y o x o 40 o 40 o n angle is formed by one vertex and two sides connected by the vertex. s in the figure, the angle can be expressed as or in short. efinition: congruent angle ongruent angles are equal in measure. 8

9 Honors Geometry Issue is congruent to is not congruent to 3 4 When two angles and are measured to be the same, we called them congruent angles, or we say is congruent to. 9

10 Honors Geometry Issue Parallel Lines and ngles There are two such pairs: ( 3, 6) and ( 4, ). efinition: corresponding angles lternate exterior angles: Two lines L and L (not necessarily parallel) are cut by a transversal. Get familiar with the following terms. L 3 4 L 7 8 L L There are two such pairs: (, 7) and (, 8). There are four such pairs: (, ), ( 3, 7), (, 6), ( 4, 8). THEREM [orresponding ngles Postulate] If L and L are parallel and cut by a transversal then corresponding angles are congruent. onsecutive exterior angles: 7 8 There are two such pairs: (, 7) and (, 8). L L onsecutive interior angles: 3 4 L onsecutive and alternate angles The term consecutive pair refers to both angles falling on the same side of the transversal. 6 There are two such pairs: ( 3, ), ( 4, 6). lternate interior angles: L consecutive consecutive The term alternate pair refers to either of the angle falling at the opposite side of the transversal. L L L L alternate alternate L L 0

11 Honors Geometry Issue Interior and exterior angles The term interior pair refers to both angles falling in the interior strip formed by L and L. Interior pairs L L The term exterior pair refers to both angles falling in the exterior strip formed by L and L. exterior pairs L L 36. In each of the following problems use the information to name the segments that must be parallel. If there is no such segment, write none. 4 3 F 3 4 E G Given Parallel Reason segments a) = 8 //EG corr. angles b) + = 7+ 8 c) = 80 d) 8 = e) 3 = 4 f) =80 g) + = 80 h) =

12 Standard Test 37. square is a special case of all of the following geometric figures EXEPT a () parallelogram () rectangle () rhombus () trapezoid Honors Geometry Issue 40. triangle has two congruent sides, and the measure of one angle is 40. Which of the following types of triangles is it? () isosceles () equilateral () right () scalene 38. polygon is a plane figure composed of connected lines. How many connected lines must there be to make a polygon? () 3 or more () 4 or more () or more () 6 or more 4. triangle has one 30 angle and one 60 angle. Which of the following types of triangles is it? () isosceles () equilateral () right () scalene 39. Which of the following statements is true? () Parallel lines intersect at right angles. () Parallel lines never intersect. () Perpendicular lines never intersect. () Intersecting lines have two points in common. 4. triangle has angles of 7 and 6. Which of the following best describes the triangle? () acute scalene () obtuse scalene () acute isosceles () obtuse isosceles

13 43. Which of the following does NT have parallel two pairs of line segments? () a rhombus () a square () a trapezoid () a rectangle Honors Geometry Issue 46. If pentagon E is similar to pentagon FGHIJ, and = 0, =, and FG = 30, what is IH? () 3. () () () In a triangle, angle is 70 and angle is 30. What is the measure of angle? () 90 () 70 () 80 () What is the greatest area possible enclosed by a quadrilateral with a perimeter of 4 feet? () 6 square feet () 4 square feet () 36 square feet () 48 square feet 4. What is a quadrilateral with two parallel sides and an angle of 4? () triangle () rectangle () square () parallelogram 48. What is the difference in area between a square with a base of 4 feet and a circle with a diameter of 4 feet? () 6 - π square feet () 6-4π square feet () 8π -6 square feet () 6π - 6 square feet 3

14 49. What is the difference in perimeter between a square with a base of 4 feet and a circle with a diameter of 4 feet? () 8 - π feet () 6 - π feet () 6-4π feet () 6-8π feet Honors Geometry Issue. What is the perimeter of the regular hexagon shown below? () 0 () 4 () 8 () rectangle s topmost side is 3 times that of the leftmost side. If the leftmost side is inches long, what is the area of the rectangle? () 3 () 6 () 3 () 6 3. What is the perimeter of the following figure? a 4 o () a () a + a () ( + )a () 4a. What is the perimeter of the triangle shown below? 8 0 () 4 () 8 () 6 () 4 4

15 Honors Geometry Issue 4. The perimeter of a rectangle is 48 feet. Its two longest sides add up to 86 feet. What is the length of each of its two shortest sides? () 3 feet () 4 feet () 6 feet () 7 feet. How many feet of ribbon will a theatrical company need to tie off a performance area that is 34 feet long and 0 feet wide? () 4 () 68 () 88 () What is the outer perimeter of the doorway shown below? 0 4 () () 4 () 0 + 4π () 4 + π

16 Honors Geometry Issue nswer Key Supplementary and omplementary ngles. x +0 = 80 x = 30. Vertical ngles. vertical: 4 adjacent: 3. Vertical angle pairs: (, 4), (, ), ( 3, 6). djacent pairs (, 6), ( 6, ), (, 4), ( 4, 3), ( 3, ), (, ) = 7 since and are linear pair with respect to line M = 0 since and 3 are linear pair with respect to line L. 6. vertical angles congruent = = 7 for vertical angles. 8. Yes, it is always true The angle is 30 since 90-60=30. Therefore, its supplementary angle is = The complementary angle for 60 is ivide 80 into + parts. Each part gets 60. The angle in the question should get two parts, thus it has The complementary angle for 4 is still The complementary angle of 3 is. The supplementary angle of 3 is The complementary angle of 40 is 0. The angle is two times 0, so it must be 00.. = 4, (vertical angle) 4 = 3 (given) 3 = (vertical angle) = (transitivity) = 90 (Given) = 0 = + (angle addition property) = = = = 3 since the bisector divides the right angle to two angles with x = + 3x x = x 0 = 4x x = = (60 - x) = 6

17 ngle isectors 9. x = 0 x+40 =90 x = 0 0. x = 60 since 80 3 = 60.. x = 0. x - + 3x + = 90 x = 90 x = 8 3. Linear pair 4. complementary. supplementary 6. and 4 are supplementary to Yes. Straight angle has 80 and a right angle is = = 40 = = (40 ) = = 80 (linear pair) = (bisector) = (bisector) + = ( + ) = x = 80 - (30 ) = 0 3. = 80, therefore, x = (80) = Yes, since x = y = E = 40. =40. Thus, x = (40) = Honors Geometry Issue Parallel Lines and ngles 36. The answer is listed in the following table. Given Parallel segments Reason a) = 8 //EG corr. angles b) + = F/ corr. angles. c) = 80 E//G consec. int. d) 8 = None e) 3 = 4 E//G corr. angles f) =80 F// consec. int. g) + = 80 None h) = //EG alt. int. angles Standard Test =

18 4.. Honors Geometry Issue 6. 8

Math 7, Unit 08: Geometric Figures Notes

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

More information

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. 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

More information

Math 7, Unit 8: Geometric Figures Notes

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

More information

Geometry/Trigonometry Unit 5: Polygon Notes Period:

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

More information

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

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

More information

Polygons - Part 1. Triangles

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

More information

Angle Unit Definitions

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

More information

Postulates, Theorems, and Corollaries. Chapter 1

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

More information

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

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

More information

Euclid s Muse Directions

Euclid s Muse Directions Euclid s Muse Directions First: Draw and label three columns on your chart paper as shown below. Name Picture Definition Tape your cards to the chart paper (3 per page) in the appropriate columns. Name

More information

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. 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

More information

UNIT 6: Connecting Algebra & Geometry through Coordinates

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

More information

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

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

More information

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

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

More information

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

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

More information

Arkansas Council of Teachers of Mathematics State Contest. Geometry Exam

Arkansas Council of Teachers of Mathematics State Contest. Geometry Exam rkansas ouncil of Teachers of Mathematics 2013 State ontest Geometry Exam In each of the following choose the EST answer and shade the corresponding letter on the Scantron Sheet. nswer all 25 multiple

More information

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

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

More information

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

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

More information

Grade 9 Math Terminology

Grade 9 Math Terminology 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

More information

Geometry Honors. Midterm Review

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

More information

Angle Geometry. Lesson 18

Angle Geometry. Lesson 18 Angle Geometry Lesson 18 Lesson Eighteen Concepts Specific Expectations Determine, through investigation using a variety of tools, and describe the properties and relationships of the interior and exterior

More information

Ch 1 Note Sheet L2 Key.doc 1.1 Building Blocks of Geometry

Ch 1 Note Sheet L2 Key.doc 1.1 Building Blocks of Geometry 1.1 uilding locks of Geometry Read page 28. It s all about vocabulary and notation! To name something, trace the figure as you say the name, if you trace the figure you were trying to describe you re correct!

More information

UNIT 1 SIMILARITY, CONGRUENCE, AND PROOFS Lesson 10: Proving Theorems About Parallelograms Instruction

UNIT 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 information

Euclid s Elements Workbook

Euclid s Elements Workbook Euclid s Elements Workbook August 7, 2013 Introduction This is a discovery based activity in which students use compass and straightedge constructions to connect geometry and algebra. At the same time

More information

Geometry Definitions, Postulates, and Theorems. Chapter 4: Congruent Triangles. Section 4.1: Apply Triangle Sum Properties

Geometry Definitions, Postulates, and Theorems. Chapter 4: Congruent Triangles. Section 4.1: Apply Triangle Sum Properties Geometry efinitions, Postulates, and Theorems Key hapter 4: ongruent Triangles Section 4.1: pply Triangle Sum Properties Standards: 12.0 Students find and use measures of sides and of interior and exterior

More information

Unit 3: Triangles and Polygons

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

More information

TOPIC 2 Building Blocks of Geometry. Good Luck To

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

More information

Quarter 1 Study Guide Honors Geometry

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

More information

Prime Time (Factors and Multiples)

Prime Time (Factors and Multiples) CONFIDENCE LEVEL: Prime Time Knowledge Map for 6 th Grade Math Prime Time (Factors and Multiples). A factor is a whole numbers that is multiplied by another whole number to get a product. (Ex: x 5 = ;

More information

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

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

More information

Review Interior Angle Sum New: Exterior Angle Sum

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

More information

Geometry Notes - Unit 4 Congruence

Geometry Notes - Unit 4 Congruence Geometry Notes - Unit 4 ongruence Triangle is a figure formed by three noncollinear points. lassification of Triangles by Sides Equilateral triangle is a triangle with three congruent sides. Isosceles

More information

Geometry Quarter 4 Test Study Guide

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,

More information

Geometry Unit 5 - Notes Polygons

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

More information

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 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

More information

LESSON SUMMARY. Properties of Shapes

LESSON SUMMARY. Properties of Shapes LESSON SUMMARY CXC CSEC MATHEMATICS UNIT Seven: Geometry Lesson 13 Properties of Shapes Textbook: Mathematics, A Complete Course by Raymond Toolsie, Volume 1 and 2. (Some helpful exercises and page numbers

More information

Naming Angles. One complete rotation measures 360º. Half a rotation would then measure 180º. A quarter rotation would measure 90º.

Naming Angles. One complete rotation measures 360º. Half a rotation would then measure 180º. A quarter rotation would measure 90º. Naming Angles What s the secret for doing well in geometry? Knowing all the angles. An angle can be seen as a rotation of a line about a fixed point. In other words, if I were mark a point on a paper,

More information

Wahkiakum School District, Pre-EOC Geometry 2012

Wahkiakum School District, Pre-EOC Geometry 2012 Pre-EO ssesment Geometry #2 Wahkiakum School istrict GEOM Page 1 1. Seth was supposed to prove PQR by SS for his homework assignment. He wrote the following proof: Given PRQ, PQ, and QR, then PQR by SS.

More information

Properties of Rhombuses, Rectangles, and Squares

Properties of Rhombuses, Rectangles, and Squares 6- Properties of Rhombuses, Rectangles, and Squares ontent Standards G.O. Prove theorems about parallelograms... rectangles are parallelograms with congruent diagonals. lso G.SRT.5 Objectives To define

More information

ACT SparkNotes Test Prep: Plane Geometry

ACT SparkNotes Test Prep: Plane Geometry ACT SparkNotes Test Prep: Plane Geometry Plane Geometry Plane geometry problems account for 14 questions on the ACT Math Test that s almost a quarter of the questions on the Subject Test If you ve taken

More information

Lines, angles, triangles, and More

Lines, angles, triangles, and More Unit 8 eaumont Middle School 8th Grade, 2016-2017 Introduction to lgebra Name: P R U T S Q Lines, angles, triangles, and More I can define key terms and identify types of angles and adjacent angles. I

More information

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

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

More information

1.1 Building Blocks of Geometry

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

More information

8.1 Find Angle Measures in Polygons

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

More information

G.8D. A. 495cm2. B. 584cm2. C. 615cm2. D. 975cm2 G.9B, G.2B A. 65 B. 55 C. 45 D. 35

G.8D. A. 495cm2. B. 584cm2. C. 615cm2. D. 975cm2 G.9B, G.2B A. 65 B. 55 C. 45 D. 35 1. Mary, Dan Jane and Lucy walked into a shop at four different times. If Mary went into the shop before Lucy, Jane was the first person after Dan,and Mary was not the first person in the shop, who wa

More information

3 Identify shapes as two-dimensional (lying in a plane, flat ) or three-dimensional ( solid ).

3 Identify shapes as two-dimensional (lying in a plane, flat ) or three-dimensional ( solid ). Geometry Kindergarten Identify and describe shapes (squares, circles, triangles, rectangles, hexagons, cubes, cones, cylinders, and spheres). 1 Describe objects in the environment using names of shapes,

More information

Angles of Polygons Concept Summary

Angles of Polygons Concept Summary Vocabulary and oncept heck diagonal (p. 404) isosceles trapezoid (p. 439) kite (p. 438) median (p. 440) parallelogram (p. 411) rectangle (p. 424) rhombus (p. 431) square (p. 432) trapezoid (p. 439) complete

More information

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

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)

More information

Geometry/Trig 2 Unit 4 Review Packet page 1 Part 1 Polygons Review

Geometry/Trig 2 Unit 4 Review Packet page 1 Part 1 Polygons Review Unit 4 Review Packet page 1 Part 1 Polygons Review ate: 1) nswer the following questions about a regular decagon. a) How many sides does the polygon have? 10 b) What is the sum of the measures of the interior

More information

Identify parallel lines, skew lines and perpendicular lines.

Identify 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 information

Agile Mind CCSS Geometry Scope & Sequence

Agile Mind CCSS Geometry Scope & Sequence Geometric structure 1: Using inductive reasoning and conjectures 2: Rigid transformations 3: Transformations and coordinate geometry 8 blocks G-CO.01 (Know precise definitions of angle, circle, perpendicular

More information

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

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.

More information

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. 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

More information

Angles. Problems: A.! Name the vertex of the angle. What rays are the sides of the angle? C.! Give three other names of LJK.

Angles. Problems: A.! Name the vertex of the angle. What rays are the sides of the angle? C.! Give three other names of LJK. ngles page # Problems:. ngles. Name the vertex of the angle.. What rays are the sides of the angle? J. Give three other names of LJK.. Name the following angles with three letters: = = N M The remaining

More information

A triangle that has three acute angles Example:

A triangle that has three acute angles Example: 1. acute angle : An angle that measures less than a right angle (90 ). 2. acute triangle : A triangle that has three acute angles 3. angle : A figure formed by two rays that meet at a common endpoint 4.

More information

Geometry: A Complete Course

Geometry: A Complete Course Geometry: omplete ourse with Trigonometry) Module Progress Tests Written by: Larry. ollins Geometry: omplete ourse with Trigonometry) Module - Progress Tests opyright 2014 by VideotextInteractive Send

More information

Geometry: A Complete Course

Geometry: A Complete Course Geometry: omplete ourse with Trigonometry) Module Instructor's Guide with etailed Solutions for Progress Tests Written by: Larry. ollins RRT /010 Unit V, Part, Lessons 1, uiz Form ontinued. Match each

More information

EUCLID S GEOMETRY. Raymond Hoobler. January 27, 2008

EUCLID S GEOMETRY. Raymond Hoobler. January 27, 2008 EUCLID S GEOMETRY Raymond Hoobler January 27, 2008 Euclid rst codi ed the procedures and results of geometry, and he did such a good job that even today it is hard to improve on his presentation. He lived

More information

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

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

More information

Geometry Curriculum Guide Dunmore School District Dunmore, PA

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

More information

Angles of Triangles. Essential Question How are the angle measures of a triangle related?

Angles of Triangles. Essential Question How are the angle measures of a triangle related? 2. ngles of Triangles Essential Question How are the angle measures of a triangle related? Writing a onjecture ONSTRUTING VILE RGUMENTS To be proficient in math, you need to reason inductively about data

More information

Geometry EOC. SOL Simulation

Geometry EOC. SOL Simulation Geometry EO SOL Simulation Graphing alculator ctive hesterfield ounty Public Schools epartment of Mathematics 2011-2012 1 George used a decorative gate to connect the fencing around his backyard. E F 60

More information

PROPERTIES OF TRIANGLES AND QUADRILATERALS (plus polygons in general)

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

More information

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

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.

More information

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

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: #

More information

Lesson Polygons

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

More information

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

More information

Copy Material. Geometry Unit 1. Congruence, Proof, and Constructions. Eureka Math. Eureka Math

Copy Material. Geometry Unit 1. Congruence, Proof, and Constructions. Eureka Math. Eureka Math Copy Material Geometry Unit 1 Congruence, Proof, and Constructions Eureka Math Eureka Math Lesson 1 Lesson 1: Construct an Equilateral Triangle We saw two different scenarios where we used the construction

More information

Right Angle Triangle. Square. Opposite sides are parallel

Right Angle Triangle. Square. Opposite sides are parallel Triangles 3 sides ngles add up to 18⁰ Right ngle Triangle Equilateral Triangle ll sides are the same length ll angles are 6⁰ Scalene Triangle ll sides are different lengths ll angles are different Isosceles

More information

Closed shapes with straight sides

Closed shapes with straight sides 41 Unit 6 and 7 Properties of 2D shapes Activity 1 Closed shapes with straight sides (polygons). Let s revise the 2D shapes you learnt about in Grade 5 Closed shapes with straight sides triangle quadrilateral

More information

CCGPS UNIT 1A Semester 1 ANALYTIC GEOMETRY Page 1 of 35. Similarity Congruence and Proofs Name:

CCGPS UNIT 1A Semester 1 ANALYTIC GEOMETRY Page 1 of 35. Similarity Congruence and Proofs Name: GPS UNIT 1 Semester 1 NLYTI GEOMETRY Page 1 of 35 Similarity ongruence and Proofs Name: Date: Understand similarity in terms of similarity transformations M9-12.G.SRT.1 Verify experimentally the properties

More information

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

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.

More information

Developmental Math An Open Program Unit 7 Geometry First Edition

Developmental Math An Open Program Unit 7 Geometry First Edition Developmental Math An Open Program Unit 7 Geometry First Edition Lesson 1 Basic Geometric Concepts and Figures TOPICS 7.1.1 Figures in 1 and 2 Dimensions 1 Identify and define points, lines, line segments,

More information

Ready to Go On? Skills Intervention Building Blocks of Geometry

Ready to Go On? Skills Intervention Building Blocks of Geometry 8-1 Ready to Go On? Skills Intervention Building Blocks of Geometry A point is an exact location. A line is a straight path that extends without end in opposite directions. A plane is a flat surface that

More information

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

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

More information

Honors Geometry Semester Exam Review

Honors Geometry Semester Exam Review Name: Hr: Honors Geometry Semester Exam Review GET ORGANIZED. Successful studying begins with being organized. Bring this packet with you to class every day. DO NOT FALL BEHIND. Do the problems that are

More information

Quadrilaterals. 1. A quadrilateral ABCD is a parallelogram if. (a) AB = CD. (c) C 80, then DGF is

Quadrilaterals. 1. A quadrilateral ABCD is a parallelogram if. (a) AB = CD. (c) C 80, then DGF is Quadrilaterals 1. quadrilateral is a parallelogram if (a) = (b) (c) = 6, = 6, = 12 (d) = 2. In figure, and EFG are both parallelogram if = 8, then GF is (a) (b) (c) (d) 1 6 8 12 3. In a square, the diagonals

More information

Geometry First Semester Practice Final (cont)

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

More information

ACCELERATED MATHEMATICS CHAPTER 9 GEOMETRIC PROPERTIES PART II TOPICS COVERED:

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

More information

Section 1-1 Points, Lines, and Planes

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

More information

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

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,

More information

APEX PON VIDYASHRAM, VELACHERY ( ) HALF-YEARLY WORKSHEET 1 LINES AND ANGLES SECTION A

APEX PON VIDYASHRAM, VELACHERY ( ) HALF-YEARLY WORKSHEET 1 LINES AND ANGLES SECTION A APEX PON VIDYASHRAM, VELACHERY (2017 18) HALF-YEARLY WORKSHEET 1 CLASS: VII LINES AND ANGLES SECTION A MATHEMATICS 1. The supplement of 0 is. 2. The common end point where two rays meet to form an angle

More information

Investigating Properties of Kites

Investigating Properties of Kites Investigating Properties of Kites Definition: Kite a quadrilateral with two distinct pairs of consecutive equal sides (Figure 1). Construct and Investigate: 1. Determine three ways to construct a kite

More information

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

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

More information

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) 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

More information

Show all work on a separate sheet of paper.

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

More information

AZMERIT GEOMETRY REVIEW

AZMERIT GEOMETRY REVIEW ZMERIT GEOMETRY REVIEW NME: HPTER 2 Rewrite the conditional statement in if-then form. Then write the converse, inverse, and contrapositive of the conditional statement. Decide whether each statement is

More information

Name Date Class. Vertical angles are opposite angles formed by the intersection of two lines. Vertical angles are congruent.

Name Date Class. Vertical angles are opposite angles formed by the intersection of two lines. Vertical angles are congruent. SKILL 43 Angle Relationships Example 1 Adjacent angles are pairs of angles that share a common vertex and a common side. Vertical angles are opposite angles formed by the intersection of two lines. Vertical

More information

Modeling with Geometry

Modeling with Geometry Modeling with Geometry 6.3 Parallelograms https://mathbitsnotebook.com/geometry/quadrilaterals/qdparallelograms.html Properties of Parallelograms Sides A parallelogram is a quadrilateral with both pairs

More information

Geometry Skills. Topic Outline. Course Description and Philosophy

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

More information

178 The National Strategies Secondary Mathematics exemplification: Y7

178 The National Strategies Secondary Mathematics exemplification: Y7 178 The National Strategies Secondary Mathematics exemplification: Y7 Pupils should learn to: Use accurately the vocabulary, notation and labelling conventions for lines, angles and shapes; distinguish

More information

2. The pentagon shown is regular. Name Geometry Semester 1 Review Guide Hints: (transformation unit)

2. The pentagon shown is regular. Name Geometry Semester 1 Review Guide Hints: (transformation unit) Name Geometry Semester 1 Review Guide 1 2014-2015 1. Jen and Beth are graphing triangles on this coordinate grid. Beth graphed her triangle as shown. Jen must now graph the reflection of Beth s triangle

More information

POTENTIAL REASONS: Definition of Congruence:

POTENTIAL REASONS: Definition of Congruence: Sec 1.6 CC Geometry Triangle Proofs Name: POTENTIAL REASONS: Definition of Congruence: Having the exact same size and shape and there by having the exact same measures. Definition of Midpoint: The point

More information

Math Handbook of Formulas, Processes and Tricks. Geometry

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

More information

Parallelograms. MA 341 Topics in Geometry Lecture 05

Parallelograms. MA 341 Topics in Geometry Lecture 05 Parallelograms MA 341 Topics in Geometry Lecture 05 Definitions A quadrilateral is a polygon with 4 distinct sides and four vertices. Is there a more precise definition? P 1 P 2 P 3 09-Sept-2011 MA 341

More information

Geometric Ideas. Name

Geometric Ideas. Name Geometric Ideas R 6-1 Lines, line segments, and rays are basic geometric ideas. They are sometimes described by the relationship they have to other lines, line segments, and rays. Draw Write Say Description

More information

Note: For all questions, answer (E) NOTA means none of the above answers is correct. Unless otherwise specified, all angles are measured in degrees.

Note: For all questions, answer (E) NOTA means none of the above answers is correct. Unless otherwise specified, all angles are measured in degrees. Note: For all questions, answer means none of the above answers is correct. Unless otherwise specified, all angles are measured in degrees. 1. The three angles of a triangle have measures given by 3 5,

More information

1. Each of these square tiles has an area of 25 square inches. What is the perimeter of this shape?

1. Each of these square tiles has an area of 25 square inches. What is the perimeter of this shape? 1. Each of these square tiles has an area of 25 square inches. What is the perimeter of this shape? Use the figure below to answer the following questions. 2. Which statement must be true to determine

More information

Alaska Mathematics Standards Vocabulary Word List Grade 7

Alaska Mathematics Standards Vocabulary Word List Grade 7 1 estimate proportion proportional relationship rate ratio rational coefficient rational number scale Ratios and Proportional Relationships To find a number close to an exact amount; an estimate tells

More information

3. 4. fraction can not be the length of the third side?

3. 4. fraction can not be the length of the third side? Name: Teacher: Mrs. Ferry 1. 2 In the construction shown below, is drawn. 3. 4 If two sides of a triangle have lengths of and, which fraction can not be the length of the third side? 1. 2. 3. 4. In ABC,

More information