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Module 2 Lesson 6 Problem Set

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Last updated over 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.

Question 2
2.

Question 3
3.

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.

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.

Looking only at segment 𝐡𝐢, is it possible that a 180Β° rotation would map segment 𝐡𝐢 onto segment 𝐡′𝐢′?
Yes, it is possible because the segments are perpendicular.
Yes, it is possible because the segments are parallel.
No, it is not possible because the segments are parallel.
No, it is not possible because the segments are perpendicular.
Looking only at segment 𝐴𝐡, is it possible that a 180Β° rotation would map segment 𝐴𝐡 onto segment 𝐴′𝐡′?
Yes, it is possible because the segments are perpendicular.
No, it is not possible because the segments are perpendicular.
No, it is not possible because the segments are parallel.
Yes, it is possible because the segments are parallel.
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?
No, it is not possible because the segments are parallel.
No, it is not possible because the segments are perpendicular.
Yes, it is possible because the segments are perpendicular.
Yes, it is possible because the segments are parallel.
What do you notice?
Perpendicular lines are created
Parallel lines are created
All lines intersect at one point