Applications. 40 Shapes and Designs. 1. Tell whether each diagram shows an angle formed by a wedge, two sides meeting at a common point, or a turn.

Size: px
Start display at page:

Download "Applications. 40 Shapes and Designs. 1. Tell whether each diagram shows an angle formed by a wedge, two sides meeting at a common point, or a turn."

Transcription

1 Applications. Tell whether each diagram shows an angle formed by a wedge, two sides meeting at a common point, or a turn. a. b. c. 2. Give the degree measure of each turn. a. One right-angle turn b. Four right-angle turns c. Five right-angle turns d. One half of a right-angle turn e. One ninth of a right-angle turn f. One fourth of a right-angle turn 40 Shapes and Designs

2 3. At the start of each hour, the minute hand of a clock points straight up at the 2. In parts (a) (f), determine the angle through which the minute hand turns as the given amount of time passes. Notice that only the minute hand is illustrated on the clock. Make a sketch to illustrate each situation. The curved arrow is pointing clockwise here because that is the direction that the minute hand turns. a. 5 minutes b. 30 minutes c. 20 minutes d. one hour e. 5 minutes f. one and a half hours 4. Without using an angle ruler, decide whether the measure of each angle is closest to 308,608,908, 208, 508, 808, 2708, or 3608.Be prepared to explain your reasoning. a. b. c. d. e. f. g. h. Investigation 2 Polygons and Angles 4

3 5. You have learned that a 908 angle is called a right angle. An angle with measure less than 908 is an acute angle. An angle with measure greater than 908 and less than 808 is an obtuse angle. An angle with measure exactly 808 is a straight angle. Decide whether each angle in Exercise 4 is right, acute, obtuse, straight, or none of these. For Exercises 6 9, find the measure of the angle labeled x, without measuring x 30 x x 27 x 35 For Exercises 0 3, a worker bee has located flowers with nectar and is preparing to do her dance. The dots represent the hive, the sun, and flowers. Estimate the measure of each angle. Use an angle ruler to check your estimate. 0.. Sun Sun Hive Hive Flowers Flowers Hive Sun Hive Sun Flowers Flowers For: Bee Dance Activity Visit: PHSchool.com Web Code: amd Shapes and Designs

4 4. Draw an angle for each measure. Include a curved arrow indicating the turn. a. 458 b. 258 c. 808 d Without measuring, decide whether the angles in each pair have the same measure. If they do not, tell which angle has the greater measure. Then find the measure of the angles with an angle ruler to check your work. a. 2 b. 2 c. 2 Investigation 2 Polygons and Angles 43

5 6. Estimate the measure of each angle, then check your answers with an angle ruler. a. b. c. d. e. 7. For each polygon below, measure the angles with an angle ruler. a. b. 8. You have read about how worker bees communicate the location of flowers. Suppose the angle a worker bee indicates is off by 8. How will this affect the other bees ability to locate the flowers? Explain. 44 Shapes and Designs

6 9. A bee leaves the hive and wants to fly to a rose but instead ends up at a daisy. How many degrees did the bee travel off course? Estimate your answer. Then check your answer with an angle ruler. Rose Hive Daisy 20. Little Bee left point A for a flower patch. Big Bee left point B for the same flower patch. However, both bees were 58 off course. Little Bee landed on the patch and Big Bee did not. Explain why Big Bee did not hit the patch and Little Bee did, if they were both off course by 58. For: Help with Exercise 20 Web Code: ame-3220 Big Bee A Little Bee 5º 5º B 2. Lines L and L 2 are parallel lines cut by a transversal. The measure of one of the angles is given. Based on what you discovered in Problem 2.5, find the measures of the other angles. a b 20 d e f g h L 2 L Investigation 2 Polygons and Angles 45

7 22. In parts (a) (c), lines L and L 2 are intersected by a transversal. The measures of some of the angles formed are given. In each part, tell whether you think the lines are parallel. Explain. a. b. 06 L 64 L 06 L 2 60 L 2 c. 35 L 25 L a. Draw any two intersecting lines, L and L 2. Measure the four angles formed around the point of intersection. b. What patterns do you observe among the angle measures? c. Draw two more pairs of intersecting lines and measure the angles formed. Do you observe the same patterns as in part (b)? 24. Multiple Choice Use the angle measures to determine which of the following shapes is a parallelogram. The shapes may not be drawn to scale. A. B C D Shapes and Designs

8 25. How did you know which shape was a parallelogram in Exercise 24? 26. Liang said that an equilateral triangle must have angles totaling 3608 because he can cut it into two right triangles, as in the diagram. Is Liang s statement correct? Explain Connections Is the statement below true or false? Justify your answer. The region inside a polygon can be tiled by triangles. 28. The number 360 was chosen for the number of degrees in a full turn. The number may have been chosen because it has many factors. a. List all the factors of 360. b. What is the prime factorization of 360? 29. A right angle can be thought of as a quarter of a complete rotation. 3 a. How many degrees is of a quarter of a rotation? b. How many degrees is two times a quarter of a rotation? 3 c. How many degrees is 2 times a quarter of a rotation? Replace the j with a number that will make the sentence true. 2 j = 3. = 40 j 32. = 33. = 20 j j For: Multiple-Choice Skills Practice Web Code: ama-3254 Investigation 2 Polygons and Angles 47

9 34. A full turn is If a bee turns around 808, like the one at the right, she has made a half turn. a. What fraction of a turn is 908? b. What fraction of a turn is 2708? c. How many turns is 7208? d. How many degrees is the fraction of a turn? 35. The minute hand on a watch makes a complete rotation every hour. The hand makes half of a full rotation in 30 minutes. a. In how many minutes does the hand make of a rotation? 6 b. In how many minutes does the hand make of half a rotation? 6 c. What fraction of an hour is of half a 6 rotation? d. How many degrees has the minute hand moved through in of half a rotation? The circular region is divided into four equal wedges formed by angles with vertices at the center of the circle. Such angles are called central angles of the circle. Each central angle shown measures In parts (a) (c), sketch a circular region divided into the given number of equal wedges. Then find the measure of the central angles. a. 8 equal edges b. 6 equal wedges c. 3 equal wedges d. Find another way to divide the circular region into equal wedges so that the central angles have whole number degree measures. Give the number of wedges and the measure of the central angles. What strategy did you use? 48 Shapes and Designs

10 37. A ruler is used to measure the length of line segments. An angle ruler is used to measure the size of (or turn in) angles. a. What is the unit of measurement for each kind of ruler? b. Write a few sentences comparing the method for measuring angles to the method for measuring line segments. 38. Skateboarders use angle measures to describe their turns. Explain what a skateboarder would mean by each statement. a. I did a 720. b. I did a 540. c. I did a In the figure below, the blue segments represent half of a polygon. The red vertical line is the line of symmetry for the complete polygon. y A(4, 0) (0, 0) B(, 5) (0, 5) x a. Copy the figure onto a sheet of grid paper. Then draw the missing half of the polygon. b. On the new half of the figure, what are the coordinates of the point that corresponds to point A? What are the coordinates of the point that corresponds to point B? c. Describe some properties of the polygon. Investigation 2 Polygons and Angles 49

11 40. Multiple Choice Which choice is a 808 rotation of the figure below? F. G. H. J. Extensions 4. Design a new polar coordinate grid for playing Four in a Row. Play your game with a friend or a member of your family. Explain the ideas that led to your new design. Compare playing on your new grid to playing on the grids given in Problem The midpoint of a line segment is the point that divides it into two segments of equal length. Trace the parallelogram below onto a sheet of paper. Connect the midpoints of two opposite sides. Describe the two quadrilaterals that are formed. Are they parallelograms? Explain. 50 Shapes and Designs

12 43. a. In the equilateral triangle below, the midpoints of two of the sides have been marked and then connected by a line segment. How does the length of this segment compare to the length of the third side of the triangle? Does the segment appear to be parallel to the third side of the triangle? b. Draw an isosceles triangle. Locate the midpoints of two of the sides. Then draw a line segment connecting the midpoints. Compare the segment with the third side of the triangle. Do the observations you made in part (a) also apply in this case? Now connect the midpoints of a different pair of sides. Do the same observations hold? c. Draw a scalene triangle. Locate the midpoints of two of the sides. Then draw a line segment connecting the midpoints. Compare the segment with the third side of the triangle. Do the observations you made in part (a) also apply in this case? Now connect the midpoints of a different pair of sides. Do the same observations hold? 44. Two lines are perpendicular if they intersect to form right angles. Tell whether the statement below is true or false. Justify your answer. If a transversal is perpendicular to one line in a pair of parallel lines, then it must also be perpendicular to the other line. Perpendicular Lines Investigation 2 Polygons and Angles 5

13 Astronomers use two types of angles to locate objects in the sky. The altitudinal (al tuh too di nuhl) angle is the angle from the horizon to the object. The horizon has an altitudinal angle of 08. The point directly overhead, called the zenith, has an altitudinal angle of 908. Zenith (90 ) (45 ) (45 ) (0 ) Horizon (0 ) Horizon The azimuthal (az uh myoothr uhl) angle is the angle of rotation from north to the object. To find the azimuthal angle of an object, face north and then rotate clockwise until you are facing the object. The angle through which you turn is the azimuthal angle. To find the azimuthal angle between two objects, face one of the objects and then turn until you are facing the other. The angle through which you turn is the azimuthal angle between the objects. NW (35 ) N (0 ) NE (45 ) W (270 ) E (90 ) SW (225 ) S (80 ) SE (35 ) For: Information about astronomy Web Code: ame Shapes and Designs

What property of a hexagon makes it a good shape for the cells of a honeycomb?

What property of a hexagon makes it a good shape for the cells of a honeycomb? Two-Dimensional Geometry What property of a hexagon makes it a good shape for the cells of a honeycomb? Why do some shapes occur more often than other shapes in art, rug, and quilt designs? Why are braces

More information

Unit 1, Lesson 1: Moving in the Plane

Unit 1, Lesson 1: Moving in the Plane Unit 1, Lesson 1: Moving in the Plane Let s describe ways figures can move in the plane. 1.1: Which One Doesn t Belong: Diagrams Which one doesn t belong? 1.2: Triangle Square Dance m.openup.org/1/8-1-1-2

More information

Additional Practice. Name Date Class. 1. Which of these angles are acute, which are obtuse, and which are right? a. b. c. d. e. f. Shapes and Designs

Additional Practice. Name Date Class. 1. Which of these angles are acute, which are obtuse, and which are right? a. b. c. d. e. f. Shapes and Designs Additional Practice Investigation 1 1. Which of these angles are acute, which are obtuse, and which are right? a. b. c. d. e. f. 1 Additional Practice (continued) Investigation 1 2. Use the diagram of

More information

15. First make a parallelogram by rotating the original triangle. Then tile with the Parallelogram.

15. First make a parallelogram by rotating the original triangle. Then tile with the Parallelogram. Shapes and Designs: Homework Examples from ACE Investigation 1: Question 15 Investigation 2: Questions 4, 20, 24 Investigation 3: Questions 2, 12 Investigation 4: Questions 9 12, 22. ACE Question ACE Investigation

More information

1. Tell whether each figure is a polygon. Explain how you know. a. b. c. d. e. f. Common Polygons

1. Tell whether each figure is a polygon. Explain how you know. a. b. c. d. e. f. Common Polygons A C E Applications Connections Extensions Applications 1. Tell whether each figure is a polygon. Explain how you know. a. b. c. d. e. f. 2. Copy and complete the table. Sort the Shapes Set into groups

More information

Measuring Triangles. 1 cm 2. 1 cm. 1 cm

Measuring Triangles. 1 cm 2. 1 cm. 1 cm 3 Measuring Triangles You can find the area of a figure by drawing it on a grid (or covering it with a transparent grid) and counting squares, but this can be very time consuming. In Investigation 1, you

More information

Year. Small Steps Guidance and Examples. Block 1 Properties of Shapes. Released March 2018

Year. Small Steps Guidance and Examples. Block 1 Properties of Shapes. Released March 2018 Released March 2018 The sequence of small steps has been produced by White Rose Maths. White Rose Maths gives permission to schools and teachers to use the small steps in their own teaching in their own

More information

An angle that has a measure less than a right angle.

An angle that has a measure less than a right angle. Unit 1 Study Strategies: Two-Dimensional Figures Lesson Vocab Word Definition Example Formed by two rays or line segments that have the same 1 Angle endpoint. The shared endpoint is called the vertex.

More information

Shapes and Designs - Unit Test Review Sheet

Shapes and Designs - Unit Test Review Sheet Name: Class: Date: ID: A Shapes and Designs - Unit Test Review Sheet 1. a. Suppose the measure of an angle is 25. What is the measure of its complementary angle? b. Draw the angles to show that you are

More information

For Exercises 1 4, follow these directions. Use the given side lengths.

For Exercises 1 4, follow these directions. Use the given side lengths. A C E Applications Connections Extensions Applications For Exercises 1 4, follow these directions. Use the given side lengths. If possible, build a triangle with the side lengths. Sketch your triangle.

More information

Year 6 Summer Term Week 1 to 2 Geometry: Properties of Shapes

Year 6 Summer Term Week 1 to 2 Geometry: Properties of Shapes Measure with a protractor Introduce angles Calculate angles Vertically opposite angles Angles in a triangle Angles in a triangle special cases Angles in a triangle missing angles Angles in special quadrilaterals

More information

Applications. 44 Stretching and Shrinking

Applications. 44 Stretching and Shrinking Applications 1. Look for rep-tile patterns in the designs below. For each design, tell whether the small quadrilaterals are similar to the large quadrilateral. Explain. If the quadrilaterals are similar,

More information

4.G.1. Name Date. Geometry. Use the figure below to answer questions Draw an intersecting line through the line below. E H

4.G.1. Name Date. Geometry. Use the figure below to answer questions Draw an intersecting line through the line below. E H Name Date ssessment 1 4.G.1 questions 1-3. 5. Draw an intersecting line through the line below. E H B C D G F 6. Draw a perpendicular line through the set of lines below. 1. Name a pair of parallel lines.

More information

A square centimeter is 1 centimeter by 1 centimeter. It has an area of 1 square centimeter. Sketch a square centimeter such as the one here.

A square centimeter is 1 centimeter by 1 centimeter. It has an area of 1 square centimeter. Sketch a square centimeter such as the one here. 3 Measuring Triangles You can find the area of a figure by drawing it on a grid (or covering it with a transparent grid) and counting squares, but this can be very time consuming. In Investigation, you

More information

Points, lines, angles

Points, lines, angles Points, lines, angles Point Line Line segment Parallel Lines Perpendicular lines Vertex Angle Full Turn An exact location. A point does not have any parts. A straight length that extends infinitely in

More information

Answer Key Lesson 11: Workshop: Shapes and Properties

Answer Key Lesson 11: Workshop: Shapes and Properties Answer Key esson 11: Use the nine Power Polygons below for Questions 1 and 2. 1. A. Sort the shapes with four sides into ox A. Sort the Shapes with one or more right angles into ox. Some shapes will go

More information

Choose the correct answer. For 1 3, use the diagram. Which triangle is right and isosceles? Which angle is an acute angle? J L K

Choose the correct answer. For 1 3, use the diagram. Which triangle is right and isosceles? Which angle is an acute angle? J L K Choose the correct answer. For, use the diagram. Page Which triangle is right and isosceles? Which angle is an acute angle? J L K N Which is a right angle? J L K M Which is an obtuse angle? J L Which triangle

More information

POSITION, DIRECTION AND MOVEMENT Year 1 Year 2 Year 3 Year 4 Year 5 Year 6 Use mathematical

POSITION, DIRECTION AND MOVEMENT Year 1 Year 2 Year 3 Year 4 Year 5 Year 6 Use mathematical POSITION, DIRECTION AND MOVEMENT Year 1 Year 2 Year 3 Year 4 Year 5 Year 6 Use mathematical Use mathematical Describe positions on a Identify, describe and vocabulary to describe vocabulary to describe

More information

TIMSS 2011 Fourth Grade Mathematics Item Descriptions developed during the TIMSS 2011 Benchmarking

TIMSS 2011 Fourth Grade Mathematics Item Descriptions developed during the TIMSS 2011 Benchmarking TIMSS 2011 Fourth Grade Mathematics Item Descriptions developed during the TIMSS 2011 Benchmarking Items at Low International Benchmark (400) M01_05 M05_01 M07_04 M08_01 M09_01 M13_01 Solves a word problem

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

7) Are HD and HA the same line?

7) Are HD and HA the same line? Review for Exam 2 Math 123 SHORT ANSWER. You must show all work to receive full credit. Refer to the figure to classify the statement as true or false. 7) Are HD and HA the same line? Yes 8) What is the

More information

TeeJay Publishers Homework for Level D book Ch 10-2 Dimensions

TeeJay Publishers Homework for Level D book Ch 10-2 Dimensions Chapter 10 2 Dimensions Exercise 1 1. Name these shapes :- a b c d e f g 2. Identify all the 2 Dimensional mathematical shapes in these figures : (d) (e) (f) (g) (h) 3. Write down the special name for

More information

Math: Grade 6 Unit: Data About Us: Statistics Suggested Length: 5-6 weeks

Math: Grade 6 Unit: Data About Us: Statistics Suggested Length: 5-6 weeks Reporting Category: Data and Analysis Math: Grade 6 Unit: Data About Us: Statistics Suggested Length: 5-6 weeks Enduring Understanding and Essential Questions Concepts & Eligible Content (6 th grade PA

More information

Consolidation of Grade 6 EQAO Questions Geometry and Spatial Sense

Consolidation of Grade 6 EQAO Questions Geometry and Spatial Sense Consolidation of Grade 6 EQAO Questions Geometry and Spatial Sense SE2 Families of Schools Year GV1 GV2 GV3 Spring 2006 Spring 2007 Spring 2008 MC14 MC24 MC13 OR9 MC17 OR30 OR9 MC21 MC18 MC3 MC23 OR30

More information

For Exercises 6 and 7, draw the polygons described to help you answer the questions.

For Exercises 6 and 7, draw the polygons described to help you answer the questions. Applications Follow these directions for Exercises 1 4. If possible, build a triangle with the given set of side lengths. Sketch your triangle. Tell whether your triangle is the only one that is possible.

More information

Unit 10 Study Guide: Plane Figures

Unit 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 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

Geometry. Students at Dommerich Elementary helped design and construct a mosaic to show parts of their community and local plants and animals.

Geometry. Students at Dommerich Elementary helped design and construct a mosaic to show parts of their community and local plants and animals. Geometry Describing and analyzing two-dimensional shapes Students at Dommerich Elementary helped design and construct a mosaic to show parts of their community and local plants and animals. 479 Make a

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

Unit 8 Geometry I-1. Teacher s Guide for Workbook 8.1 COPYRIGHT 2010 JUMP MATH: NOT TO BE COPIED

Unit 8 Geometry I-1. Teacher s Guide for Workbook 8.1 COPYRIGHT 2010 JUMP MATH: NOT TO BE COPIED Unit 8 Geometry In this unit, students will identify and plot points in all four quadrants of the Cartesian plane, and perform and describe transformations (reflections, rotations, translations) in the

More information

Math 9: Chapter Review Assignment

Math 9: Chapter Review Assignment Class: Date: Math 9: Chapter 7.5-7.7 Review Assignment Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Which shapes have at least 2 lines of symmetry?

More information

Math 3315: Geometry Vocabulary Review Human Dictionary: WORD BANK

Math 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 information

Polygon Properties and Tiling

Polygon Properties and Tiling \\II\II\IIIIII~I]n]~imml~~~~ll~li~\~II\II\1111 3 0425 49&2625 7 CoV\V\tc'hGt MC\tt. 1 Sh"pes ow~ Polygon Properties and Tiling J)e5~l1S You learned about angles and angle measure in Investigations 1 and

More information

Describe Plane Shapes

Describe Plane Shapes Lesson 12.1 Describe Plane Shapes You can use math words to describe plane shapes. point an exact position or location line endpoints line segment ray a straight path that goes in two directions without

More information

Shapes. Reflection Symmetry. Exercise: Draw the lines of symmetry of the following shapes. Remember! J. Portelli

Shapes. Reflection Symmetry. Exercise: Draw the lines of symmetry of the following shapes. Remember! J. Portelli Reflection Symmetry Shapes Learning Intention: By the end of the lesson you will be able to Identify shapes having reflection and/or rotational symmetry. Exercise: Draw the lines of symmetry of the following

More information

Section 12.1 Translations and Rotations

Section 12.1 Translations and Rotations Section 12.1 Translations and Rotations Any rigid motion that preserves length or distance is an isometry. We look at two types of isometries in this section: translations and rotations. Translations A

More information

Chapter 8. Properties of Triangles and Quadrilaterals. 02/2017 LSowatsky

Chapter 8. Properties of Triangles and Quadrilaterals. 02/2017 LSowatsky Chapter 8 Properties of Triangles and Quadrilaterals 02/2017 LSowatsky 1 8-1A: Points, Lines, and Planes I can Identify and label basic geometric figures. LSowatsky 2 Vocabulary: Point: a point has no

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

2. A straightedge can create straight line, but can't measure. A ruler can create straight lines and measure distances.

2. A straightedge can create straight line, but can't measure. A ruler can create straight lines and measure distances. 5.1 Copies of Line Segments and Angles Answers 1. A drawing is a rough sketch and a construction is a process to create an exact and accurate geometric figure. 2. A straightedge can create straight line,

More information

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

Triangles. You have learned to be careful with. EXAMPLE L E S S O N 1.

Triangles. You have learned to be careful with.  EXAMPLE L E S S O N 1. Page 1 of 5 L E S S O N 1.5 The difference between the right word and the almost right word is the difference between lightning and the lightning bug. MARK TWAIN EXAMPLE Triangles You have learned to be

More information

Polygons. 5 sides 5 angles. pentagon. Name

Polygons. 5 sides 5 angles. pentagon. Name Lesson 11.1 Reteach Polygons A polygon is a closed plane figure formed by three or more line segments that meet at points called vertices. You can classify a polygon by the number of sides and the number

More information

Answer Key Lesson 6: Classifying Shapes

Answer Key Lesson 6: Classifying Shapes Student Guide The Flatopia Polygon Zoo Professor Peabody had a dream that he lived in a two-dimensional town called Flatopia. There were two-dimensional creatures in town, all shaped like polygons. Help

More information

.o jump moth. G4-34: Prism and Pyramid Bases page 339. Melissa is exploring differences between pyramids and prisms. She discovers that...

.o jump moth. G4-34: Prism and Pyramid Bases page 339. Melissa is exploring differences between pyramids and prisms. She discovers that... G4-34: Prism and Pyramid Bases page 339 Melissa is exploring differences between pyramids and prisms. She discovers that.... A pyramid has one base. (There is one exception pyramid, any face is a base.)

More information

5th Grade Geometry

5th Grade Geometry Slide 1 / 112 Slide 2 / 112 5th Grade Geometry 2015-11-23 www.njctl.org Slide 3 / 112 Geometry Unit Topics Click on the topic to go to that section Polygons Classifying Triangles & Quadrilaterals Coordinate

More information

Name Period Date GRADE 7: MATHEMATICS COMMON CORE SUPPLEMENT ANGLES, DRAWINGS, AND ALGEBRAIC CONNECTIONS

Name Period Date GRADE 7: MATHEMATICS COMMON CORE SUPPLEMENT ANGLES, DRAWINGS, AND ALGEBRAIC CONNECTIONS Name Period Date 7-CORE3.1 Geometric Figures Measure and draw angles using a protractor. Review facts about interior angles of triangles and quadrilaterals. Find missing angle measures in geometric diagrams.

More information

Good Luck Grasshopper.

Good Luck Grasshopper. ANGLES 1 7 th grade Geometry Discipline: Orange Belt Training Order of Mastery: Constructions/Angles 1. Investigating triangles (7G2) 4. Drawing shapes with given conditions (7G2) 2. Complementary Angles

More information

First Nations people use a drying rack to dry fish and animal hides. The drying rack in this picture is used in a Grade 2 classroom to dry artwork.

First Nations people use a drying rack to dry fish and animal hides. The drying rack in this picture is used in a Grade 2 classroom to dry artwork. 7.1 ngle roperties of Intersecting Lines Focus Identify and calculate complementary, supplementary, and opposite angles. First Nations people use a drying rack to dry fish and animal hides. The drying

More information

M8WSB-C07.qxd 4/4/08 7:00 PM Page NEL

M8WSB-C07.qxd 4/4/08 7:00 PM Page NEL 8 NEL GOAL Chapter 7 Tessellations You will be able to use angle measurements to identify regular and irregular polygons that might tessellate identify and describe translations, reflections, or rotations

More information

Exploring Triangles. We can name triangles by the number of equal sides.

Exploring Triangles. We can name triangles by the number of equal sides. UNIT 6 1 STUDENT BOOK Exploring Triangles LESSO N Quick Review At At Home Sc h o o l We can name triangles by the number of equal sides. An equilateral triangle has 3 equal sides. It has three 60 angles.

More information

Day #1 Investigation 1.1

Day #1 Investigation 1.1 1 Day #1 Investigation 1.1 In exercise 1-2, find an equivalent fraction for each fraction. Find one fraction with denominator less than the one given. Find another fraction with a denominator greater the

More information

1. Revision Description Reflect and Review Teasers Recall basics of geometrical shapes.

1. Revision Description Reflect and Review Teasers Recall basics of geometrical shapes. 1. Revision Description Reflect and Review Teasers Recall basics of geometrical shapes. A book, a birthday cap and a dice are some examples of 3-D shapes. 1) Write two examples of 2-D shapes and 3-D shapes

More information

Lesson 1. Unit 2 Practice Problems. Problem 2. Problem 1. Solution 1, 4, 5. Solution. Problem 3

Lesson 1. Unit 2 Practice Problems. Problem 2. Problem 1. Solution 1, 4, 5. Solution. Problem 3 Unit 2 Practice Problems Lesson 1 Problem 1 Rectangle measures 12 cm by 3 cm. Rectangle is a scaled copy of Rectangle. Select all of the measurement pairs that could be the dimensions of Rectangle. 1.

More information

1-1. Calculate the values of the expressions below. Show all steps in your process.

1-1. Calculate the values of the expressions below. Show all steps in your process. 1-1. Calculate the values of the expressions below. Show all steps in your process. a. 2 (3(5 + 2) 1) b. 6 2(4 + 5) + 6 c. 3 8 2 2 + 1 d. 5 2 3 + 6(3 2 + 1) 1-2. Simplify the expressions below as much

More information

The National Strategies Secondary Mathematics exemplification: Y8, 9

The National Strategies Secondary Mathematics exemplification: Y8, 9 Mathematics exemplification: Y8, 9 183 As outcomes, Year 8 pupils should, for example: Understand a proof that the sum of the angles of a triangle is 180 and of a quadrilateral is 360, and that the exterior

More information

Polygon. Note: Each segment is called a side. Each endpoint is called a vertex.

Polygon. 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 information

Lesson 13-1 Angle Relationships

Lesson 13-1 Angle Relationships Name Date Class Chapter 13 Lesson 13-1 Angle Relationships Use the diagram to name each figure. 1. a right angle 2. two acute angles 3. two obtuse angles 4. a pair of complementary angles 5. three pairs

More information

PRACTICAL GEOMETRY SYMMETRY AND VISUALISING SOLID SHAPES

PRACTICAL GEOMETRY SYMMETRY AND VISUALISING SOLID SHAPES UNIT 12 PRACTICAL GEOMETRY SYMMETRY AND VISUALISING SOLID SHAPES (A) Main Concepts and Results Let a line l and a point P not lying on it be given. By using properties of a transversal and parallel lines,

More information

Geometry Vocabulary. acute angle-an angle measuring less than 90 degrees

Geometry Vocabulary. acute angle-an angle measuring less than 90 degrees Geometry Vocabulary acute angle-an angle measuring less than 90 degrees angle-the turn or bend between two intersecting lines, line segments, rays, or planes angle bisector-an angle bisector is a ray that

More information

Chapter 9 BUILD YOUR VOCABULARY

Chapter 9 BUILD YOUR VOCABULARY C H A P T E R 9 BUILD YOUR VOCABULARY Chapter 9 This is an alphabetical list of new vocabulary terms you will learn in Chapter 9. As you complete the study notes for the chapter, you will see Build Your

More information

Year. Small Steps Guidance and Examples. Block 3: Properties of Shapes. Released March 2018

Year. Small Steps Guidance and Examples. Block 3: Properties of Shapes. Released March 2018 Released March 2018 The sequence of small steps has been produced by White Rose Maths. White Rose Maths gives permission to schools and teachers to use the small steps in their own teaching in their own

More information

What You ll Learn. Why It s Important

What You ll Learn. Why It s Important Many artists use geometric concepts in their work. Think about what you have learned in geometry. How do these examples of First Nations art and architecture show geometry ideas? What You ll Learn Identify

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

Polygons. 5 sides 5 angles. pentagon. no no R89. Name

Polygons. 5 sides 5 angles. pentagon. no no R89. Name Lesson 11.1 Polygons A polygon is a closed plane figure formed by three or more line segments that meet at points called vertices. You can classify a polygon by the number of sides and the number of angles

More information

Chapter 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.

Chapter 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 information

ACT Math and Science - Problem Drill 11: Plane Geometry

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

More information

Section 9.1. Points, Lines, Planes, and Angles. Copyright 2013, 2010, 2007, Pearson, Education, Inc.

Section 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 information

Name Period Date MATHLINKS: GRADE 7 STUDENT PACKET 14 ANGLES, TRIANGLES, AND QUADRILATERALS

Name Period Date MATHLINKS: GRADE 7 STUDENT PACKET 14 ANGLES, TRIANGLES, AND QUADRILATERALS Name Period Date 7-14 STUDENT PACKET MATHLINKS: GRADE 7 STUDENT PACKET 14 ANGLES, TRIANGLES, AND QUADRILATERALS 14.1 Angle Measurements Measure and draw angles using a protractor. Review facts about interior

More information

M05.C-G Classify two-dimensional figures in a hierarchy based on properties.

M05.C-G Classify two-dimensional figures in a hierarchy based on properties. M05.C-G.2.1.1 Classify two-dimensional figures in a hierarchy based on 1. Mr. Diaz is building a fence around his yard. He drew a sketch of the fence line. Which best describes the fence line? A. pentagon;

More information

Investigation 1: The Family of Polygons

Investigation 1: The Family of Polygons Unit 1: Shapes and Designs Investigation 1: The Family of Polygons I can identify the properties of polygons and the special relationships among angles Investigation Lesson 1: Sorting and Sketching Polygons

More information

Lines Plane A flat surface that has no thickness and extends forever.

Lines 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 information

The Grade 3 Common Core State Standards for Geometry specify that students should

The Grade 3 Common Core State Standards for Geometry specify that students should Students in third grade describe, analyze, and compare properties of two-dimensional shapes. They compare and classify shapes by their sides and angles, and they use these classifications to define shapes.

More information

Grade Common Core Math

Grade Common Core Math th 5 Grade Common Core Math Printable Review Problems Standards Included:.-Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the

More information

Properties of Triangles

Properties of Triangles Starter 1) Solve 4sin(x) - 1 = 0 for 0 < x < 360 2) Properties of Triangles Today we are learning... The properties and types of triangles. I will know if I have been successful if... I can identify and

More information

Extra Practice 1. Name Date. Lesson 1: Exploring Triangles

Extra Practice 1. Name Date. Lesson 1: Exploring Triangles Master 6.36 Extra Practice 1 Lesson 1: Exploring Triangles 1. Draw 3 different triangles. Measure and label the side lengths. Name each triangle as equilateral, isosceles, or scalene. 2. Name each triangle

More information

Does a group of parallel line segments need to be the same length?

Does a group of parallel line segments need to be the same length? 1 Parallel Line Segments Parallel t Parallel What is the same about the groups of parallel line segments? They are always the same distance apart. They do not intersect each other. If you extend the line

More information

Let a line l and a point P not lying on it be given. By using properties of a transversal and parallel lines, a line which passes through the point P

Let a line l and a point P not lying on it be given. By using properties of a transversal and parallel lines, a line which passes through the point P Let a line l and a point P not lying on it be given. By using properties of a transversal and parallel lines, a line which passes through the point P and parallel to l, can be drawn. A triangle can be

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

G5-20 Introduction to Slides

G5-20 Introduction to Slides WORKBOOK 5:2 PAGE 317 G5-20 Introduction to Slides GOALS Students will slide a dot on a grid. PRIOR KNOWLEDGE REQUIRED Ability to count Distinguish between right and left VOCABULARY slide For this lesson,

More information

Geometry !!!!! Tri-Folds 3.G.1 - # 1. 4 Mystery Shape 5 Compare & Contrast. 3rd Grade Math. Compare. Name: Date: Contrast

Geometry !!!!! Tri-Folds 3.G.1 - # 1. 4 Mystery Shape 5 Compare & Contrast. 3rd Grade Math. Compare. Name: Date: Contrast 4 Mystery Shape 5 Compare & Contrast 1. Draw and label a shape that has one more side than a triangle. Draw it. 2. Draw and label a shape that has three more sides than a triangle. 3. Draw and label a

More information

PERSPECTIVES ON GEOMETRY PRE-ASSESSMENT ANSWER SHEET (GEO )

PERSPECTIVES ON GEOMETRY PRE-ASSESSMENT ANSWER SHEET (GEO ) PERSPECTIVES ON GEOMETRY PRE-ASSESSMENT ANSWER SHEET (GEO.11.02.2) Name Date Site TURN IN BOTH TEST AND ANSWER SHEET TO YOUR INSTRUCTOR WHEN DONE. 1. 18. I. 2. 19. 3. 20. 4. 21. 5. 22. 6. 23. 7. 24. 8.

More information

Chapter 1-2 Points, Lines, and Planes

Chapter 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 information

1. a point 2. a ray 3. an angle

1. a point 2. a ray 3. an angle 8-1 Draw each geometric figure. 1. a point 2. a ray 3. an angle 4. the angle shown. G Look at the angles below. N L P M A T V 5. Which angles are right angles? 6. Which angles are acute angles? 7. Which

More information

Constructing Symmetrical Shapes

Constructing Symmetrical Shapes 1 Constructing Symmetrical Shapes 1 Construct 2-D shapes with one line of symmetry A line of symmetry may be horizontal or vertical 2 a) Use symmetry to complete the picture b) Describe the method you

More information

Mathematics Success Level E

Mathematics Success Level E T877 [OBJECTIVE] The student will classify two-dimensional figures based on properties. [PREREQUISITE SKILLS] Lesson 29, knowledge of basic geometry terminology including: parallel sides, congruent sides,

More information

Geometry. Standardized Practice Have students try the following problem.

Geometry. Standardized Practice Have students try the following problem. 1 Students need a basic understanding of angles to learn the properties of twodimensional shapes. In this lesson, students use models to represent, measure, and classify angles. Objective Recognize types

More information

Math 6, Unit 8 Notes: Geometric Relationships

Math 6, Unit 8 Notes: Geometric Relationships Math 6, Unit 8 Notes: Geometric Relationships Points, Lines and Planes; Line Segments and Rays As we begin any new topic, we have to familiarize ourselves with the language and notation to be successful.

More information

Reteach. Chapter 14. Grade 4

Reteach. Chapter 14. Grade 4 Reteach Chapter 14 Grade 4 Lesson 1 Reteach Draw Points, Lines, and Rays A point is an exact location that is represented by a dot. Example: point R R A line goes on forever in both directions. Example:

More information

Classifying Quadrilaterals

Classifying Quadrilaterals Practice Book Use anytime after Bridges, Unit 3, Session 12. Classifying Quadrilaterals A quadrilateral is any polygon that has 4 sides. There are many kinds of quadrilaterals, including: Trapezoid: a

More information

Elementary Planar Geometry

Elementary 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 information

Consolidation Worksheet

Consolidation Worksheet Cambridge Essentials Mathematics Extension 7 GM1 Consolidation Worksheet GM1 Consolidation Worksheet 1 a Draw each diagram as accurately as you can. Use the measurements shown. b Measure the length of

More information

VOCABULARY. 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.

VOCABULARY. 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 information

MATH DICTIONARY. Number Sense. Number Families. Operations. Counting (Natural) Numbers The numbers we say when we count. Example: {0, 1, 2, 3, 4 }

MATH DICTIONARY. Number Sense. Number Families. Operations. Counting (Natural) Numbers The numbers we say when we count. Example: {0, 1, 2, 3, 4 } Number Sense Number Families MATH DICTIONARY Counting (Natural) Numbers The numbers we say when we count Example: {1, 2, 3, 4 } Whole Numbers The counting numbers plus zero Example: {0, 1, 2, 3, 4 } Positive

More information

UNIT PLAN. Big Idea/Theme: Polygons can be identified, classified, and described.

UNIT PLAN. Big Idea/Theme: Polygons can be identified, classified, and described. UNIT PLAN Grade Level: 5 Unit #: 11 Unit Name Geometry Polygons Time: 15 lessons, 18 days Big Idea/Theme: Polygons can be identified, classified, and described. Culminating Assessment: (requirements of

More information

Angle, symmetry and transformation

Angle, symmetry and transformation Terms Illustrations Definition Acute angle An angle greater than 0 and less than 90. Alternate angles Where two straight lines are cut by a third, as in the diagrams, the angles d and f (also c and e)

More information

AngLegs Activity Cards Written by Laura O Connor & Debra Stoll

AngLegs Activity Cards Written by Laura O Connor & Debra Stoll LER 4340/4341/4342 AngLegs Activity Cards Written by Laura O Connor & Debra Stoll Early Elementary (K-2) Polygons Activity 1 Copy Cat Students will identify and create shapes. AngLegs Pencil Paper 1. Use

More information

TESSELLATIONS #1. All the shapes are regular (equal length sides). The side length of each shape is the same as any other shape.

TESSELLATIONS #1. All the shapes are regular (equal length sides). The side length of each shape is the same as any other shape. TESSELLATIONS #1 Arrange for students to work in pairs during this lesson. Each pair of students needs unlined paper and two tessellation sets, one red and one blue. Ask students in each pair to share

More information

Lines, Rays, and Angles

Lines, Rays, and Angles Lesson 10.1 Lines, Rays, and Angles Name What it looks like Think point D D A point names a location in space. line AB; _ AB line BA; _ BA A B A line extends without end in opposite directions. line segment

More information

Mrs. Daniel s Geometry Vocab List

Mrs. 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 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