nys common core mathematics curriculum lesson …...4. a triangle cannot have both an acute angle...

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Lesson 14 Homework NYS COMMON CORE MATHEMATICS CURRICULUM 4• 4 Lesson 14: Define and construct triangles from given criteria. Explore symmetry in triangles. Date: 10/16/13 4.D.44 © 2013 Common Core, Inc. Some rights reserved. commoncore.org This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License. Name Date 1. Draw triangles that fit the following classifications. Use a ruler and protractor. Label the side lengths and angles. a. right and isosceles b. right and scalene c. obtuse and isosceles d. acute and scalene 2. Draw all possible lines of symmetry in the triangles above. Explain why some of the triangles do not have lines of symmetry.

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Page 1: NYS COMMON CORE MATHEMATICS CURRICULUM Lesson …...4. A triangle cannot have both an acute angle and a right angle. True or False? 5. ⊿ : ; < can be described as both equilateral

Lesson 14 Homework NYS COMMON CORE MATHEMATICS CURRICULUM 4•4

Lesson 14: Define and construct triangles from given criteria. Explore symmetry in triangles.

Date: 10/16/13 4.D.44

© 2013 Common Core, Inc. Some rights reserved. commoncore.org

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.

Name Date

1. Draw triangles that fit the following classifications. Use a ruler and protractor. Label the side lengths and angles.

a. a. right and isosceles b. right and scalene

c. obtuse and isosceles d. acute and scalene

2. Draw all possible lines of symmetry in the triangles above. Explain why some of the triangles do not have lines of symmetry.

Page 2: NYS COMMON CORE MATHEMATICS CURRICULUM Lesson …...4. A triangle cannot have both an acute angle and a right angle. True or False? 5. ⊿ : ; < can be described as both equilateral

Lesson 14 Homework NYS COMMON CORE MATHEMATICS CURRICULUM 4•4

Lesson 14: Define and construct triangles from given criteria. Explore symmetry in triangles.

Date: 10/16/13 4.D.45

© 2013 Common Core, Inc. Some rights reserved. commoncore.org

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.

Are the following statements true or false? Explain.

3. ∆𝐴𝐵𝐶 is an isosceles triangle. 𝐴𝐵 must be 2 cm. True or False?

4. A triangle cannot have both an acute angle and a right angle. True or False?

5. ⊿𝑋𝑌𝑍 can be described as both equilateral and acute. True or False?

6. A right triangle is always scalene. True or False?

Extension: In ⊿𝐴𝐵𝐶, x = y. True or False?

B

A C

1 cm

2 cm

x°

y°

A

B

C

X

Y Z

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