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Module 2 Lesson 6 Problem Set

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Last updated about 5 years ago
7 questions
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Use the following diagram for Problems 1–5. Use your transparency as needed.
Question 1
1.

Looking only at segment 𝐡𝐢, is it possible that a 180Β° rotation would map segment 𝐡𝐢 onto segment 𝐡′𝐢′?

Question 2
2.

Looking only at segment 𝐴𝐡, is it possible that a 180Β° rotation would map segment 𝐴𝐡 onto segment 𝐴′𝐡′?

Question 3
3.

Looking only at segment 𝑨π‘ͺ, is it possible that a πŸπŸ–πŸŽΒ° rotation would map segment 𝑨π‘ͺ onto segment 𝑨′π‘ͺβ€²?

Question 4
4.

Connect point 𝑩 to point 𝑩′, point π‘ͺ to point π‘ͺβ€², and point 𝑨 to point 𝑨′.

Question 5
5.

What do you notice?

Question 6
6.

What do you think the center of rotation is on triangles ABC and A'B'C'?

Write your answer as a coordinate. For example (1,2)

The picture below shows right triangles 𝑨𝑩π‘ͺ and 𝑨′𝑩′π‘ͺβ€², where the right angles are at 𝑩 and 𝑩′.
Question 7
7.

is there a πŸπŸ–πŸŽΒ° rotation that would map △𝑨𝑩π‘ͺ onto β–³ 𝑨′𝑩′π‘ͺβ€²? Explain.