AA Triangle Similarity CW

Name: ___________________________________________________________________________ Module 2, Topic C, Lesson 15 – AA Triangle Similarity Date: ________________ Opening Exercise Are the triangles shown below similar? Explain. 28 20
3
8
6
44.42°
57.12°
7
78.46°
57.12°
Exercises 1.
Are the triangles shown below similar? Explain. If the triangles are similar identify any missing angle and side length measures. 2.
The triangles shown below are similar. Use what you know about similar triangles to find the missing side lengths 𝑥 and 𝑦. 3.
The triangles shown below are similar. Write an explanation to a student, Claudia, of how to find the lengths of 𝑥 and 𝑦. 4.
Given the diagram to the right and 𝐷𝐸 ∥ 𝐾𝐿, find 𝐹𝐸 and 𝐹𝐿. 5.
In the figure to the right, △ 𝐿𝑀𝑁~ △ 𝑀𝑃𝐿. a.
Classify △ 𝐿𝑀𝑃 based on what you know about similar triangles and justify your reasoning. b.
If 𝑚∠𝑃 = 20°, find the remaining angles in the diagram. 6.
In the diagram below, △ 𝐴𝐵𝐶~ △ 𝐴𝐹𝐷. Determine whether the following statements must be true from the given information, and explain why. a.
△ 𝐶𝐴𝐵~ △ 𝐷𝐴𝐹 b.
△ 𝐴𝐷𝐹~ △ 𝐶𝐴𝐵 c.
△ 𝐵𝐶𝐴~ △ 𝐴𝐷𝐹 d.
△ 𝐴𝐷𝐹~ △ 𝐴𝐶𝐵 Name: ___________________________________________________________________________ Module 2, Topic C, Lesson 15 – AA Triangle Similarity Exit Ticket Date: ________________ Given the diagram to the right, 𝑈𝑋 ⊥ 𝑉𝑊, and 𝑊𝑌 ⊥ 𝑈𝑉. Show that ∆𝑈𝑋𝑉~∆𝑊𝑌𝑉. Name: ___________________________________________________________________________ Module 2, Topic C, Lesson 15 – AA Triangle Similarity Exit Ticket Given the diagram to the right, 𝑈𝑋 ⊥ 𝑉𝑊, and 𝑊𝑌 ⊥ 𝑈𝑉. Show that ∆𝑈𝑋𝑉~∆𝑊𝑌𝑉. Date: ________________

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