Module 2 Lesson 6 Problem Set

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

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

1

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

1

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?

1

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

1

What do you notice?

1

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′.
1

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