# 15.1 Classify Quadrilaterals

## Transcription

15.1 Classify Quadrilaterals

Name 15.1 ? Geometry and Measurement—3.6.A, 3.6.B MATHEMATICAL PROCESSES 3.1.D, 3.1.F Classify Quadrilaterals Essential Question How can you use right angles and parallel sides to help you classify quadrilaterals? Unlock Unlock the the Problem Problem An angle is formed by two rays that share an endpoint. Two dimensional figures have angles formed by two line segments that share an endpoint. The shared endpoint is called a vertex. The plural of vertex is vertices. Jason drew this polygon on dot paper. There are __ angles. There are __ sides. ray endpoint Math Idea A polygon is a closed plane figure with straight sides that are line segments. Jason’s polygon has 2 right angles. They form square corners. You can use the corner of a sheet of paper to tell if an angle is a right angle. Draw boxes to show the right angles. Look at Jason’s polygon. How many pairs of sides are parallel? Think: Which sides will never cross or meet? © Houghton Mifflin Harcourt Publishing Company Lines that appear to never cross or meet and are always the same distance apart are parallel lines. So, Jason’s polygon has __ pair of parallel sides. Module 15 481 Classify Quadrilaterals Quadrilaterals are named by their sides and their angles. ERROR Alert Some quadrilaterals cannot be classified as a trapezoid, parallelogram, rectangle, square, or rhombus. Describe quadrilaterals. quadrilateral __ sides __ angles trapezoid exactly __ pair of opposite sides that are parallel lengths of sides could be the same parallelogram __ pairs of opposite sides that are parallel rectangle square rhombus _ pairs of opposite _ pairs of opposite _ pairs of opposite sides that are parallel sides that are parallel sides that are parallel _ pairs of sides that _ sides that are of _ sides that are of are of equal length equal length equal length _ right angles _ right angles Math Talk Mathematical Processes Explain why a square can also be named a rectangle or a rhombus. 482 © Houghton Mifflin Harcourt Publishing Company __ pairs of sides that are of equal length Name Share Share and and Show Show Look at the quadrilateral at the right. 1. b How many right angles are in the quadrilateral? __ right angles 2. Which sides appear to be parallel? ____ 3. Name the quadrilateral. ____ a c d Circle all the words that describe the quadrilateral. 4. 5. rectangle rhombus rhombus parallelogram square square parallelogram rectangle Problem Problem Solving Solving Analyze Write all or some to complete the sentence for 6–9. 6. 8. The opposite sides of _ rectangles are parallel. 7. _ rhombuses are squares. 9. _ sides of a rhombus are the same length. _ trapezoids have 1 pair of © Houghton Mifflin Harcourt Publishing Company opposite sides that are parallel. 10. Communicate I am a quadrilateral that has no right angles and 4 sides that are of equal length. What figure am I? 11. Multi-Step I am a polygon that has 4 sides and 4 angles. All of my angles are right angles. Circle all the figures that I could be. quadrilateral trapezoid rectangle square rhombus parallelogram Module 15 • Lesson 1 483 Mathematical Processes M Model ¥ Reason ¥ Communicate M Daily Daily Assessment Assessment Task Task Fill in the bubble for the correct answer choice. 13. 14. While playing football after school, Jesse notices that the distance marker contains a quadrilateral with one pair of opposite sides that are parallel. What type of quadrilateral is it? A rectangle B trapezoid C square D rhombus Dean makes a pattern using 10 square tiles. How many pairs of opposite sides are parallel in the 10 square tiles? A 20 C 40 B 10 D 0 Multi-Step Carina is using scraps of fabric to make a quilt. How many of the fabric scraps are in the shape of rhombuses? A 1 C 0 B 2 D 3 TEXAS Test Prep 15. 484 What is a true statement about the quadrilateral at the right? A There is 1 right angle. B There are 4 right angles. C There are no right angles. D There are 2 right angles. © Houghton Mifflin Harcourt Publishing Company • Image Credits: ©Photodisc/Getty Images 12. Geometry and Measurement—3.6.A, 3.6.B MATHEMATICAL PROCESSES 3.1.D, 3.1.F H o mewo rk and Practice 15.1 Name Classify Quadrilaterals Circle all the words that describe the quadrilateral. 1. parallelogram 2. parallelogram trapezoid trapezoid rhombus rhombus rectangle rectangle Problem Problem Solving Solving Write all or some to complete the sentence for 3–6. 3. __ rectangles are squares. 4. __ angles of a rectangle are right angles. 5. __ parallelograms have all 4 sides that are equal in length. © Houghton Mifflin Harcourt Publishing Company 7. 8. 6. __ trapezoids have 2 sides that are equal in length. I am a polygon that has 2 pairs of opposite sides that are parallel. Circle all of the figures that I could be. parallelogram square trapezoid quadrilateral rhombus rectangle I am a quadrilateral that has 4 right angles. My opposite sides are parallel and of equal length. What figure am I? Module 15 • Lesson 1 485 TEXAS Test Prep Lesson Lesson Check Check Fill in the bubble completely to show your answer. 11. 12. 486 Lily makes an art poster that has exactly one pair of opposite sides that are parallel and 2 sides that are the same length. What figure is Lily’s poster? A trapezoid B rectangle C rhombus D parallelogram 10. Desmond draws a polygon that has 4 sides that are the same length and no right angles. How can Desmond classify the polygon he drew? A square B rhombus C rectangle D parallelogram Kara makes the kite shown at the right from 4 triangles. What is the shape of Kara’s kite? A square B parallelogram C rhombus D quadrilateral Multi-Step Ben is making cutouts to use in an art design. How many of the cutouts have the shape of a rectangle? A 5 B 2 C 4 D 3 © Houghton Mifflin Harcourt Publishing Company 9.