Module 2 Lesson 6 Problem Set

Use the following diagram for Problems 1–5. Use your transparency as needed.

1

Looking only at segment 𝐵𝐶, is it possible that a 180° rotation would map segment 𝐵𝐶 onto segment 𝐵′𝐶′?

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.

1

Looking only at segment 𝐴𝐵, is it possible that a 180° rotation would map segment 𝐴𝐵 onto segment 𝐴′𝐵′?

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.

1

Looking only at segment 𝑨𝑪, is it possible that a 𝟏𝟖𝟎° rotation would map segment 𝑨𝑪 onto segment 𝑨′𝑪′?

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.

1

Connect point 𝑩 to point 𝑩′, point 𝑪 to point 𝑪′, and point 𝑨 to point 𝑨′.

1

What do you notice?

Perpendicular lines are created

Parallel lines are created

All lines intersect at one point

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 𝑨𝑩𝑪 and 𝑨′𝑩′𝑪′, where the right angles are at 𝑩 and 𝑩′.

1

Module 2 Lesson 6 Problem Set

Looking only at segment 𝐵𝐶, is it possible that a 180° rotation would map segment 𝐵𝐶 onto segment 𝐵′𝐶′?

Looking only at segment 𝐴𝐵, is it possible that a 180° rotation would map segment 𝐴𝐵 onto segment 𝐴′𝐵′?

Looking only at segment 𝑨𝑪, is it possible that a 𝟏𝟖𝟎° rotation would map segment 𝑨𝑪 onto segment 𝑨′𝑪′?

Connect point 𝑩 to point 𝑩′, point 𝑪 to point 𝑪′, and point 𝑨 to point 𝑨′.

What do you notice?

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)

is there a 𝟏𝟖𝟎° rotation that would map △𝑨𝑩𝑪 onto △ 𝑨′𝑩′𝑪′? Explain.

Looking only at segment 𝐵𝐶, is it possible that a 180° rotation would map segment 𝐵𝐶 onto segment 𝐵′𝐶′?

Looking only at segment 𝐴𝐵, is it possible that a 180° rotation would map segment 𝐴𝐵 onto segment 𝐴′𝐵′?

Looking only at segment 𝑨𝑪, is it possible that a 𝟏𝟖𝟎° rotation would map segment 𝑨𝑪 onto segment 𝑨′𝑪′?

Connect point 𝑩 to point 𝑩′, point 𝑪 to point 𝑪′, and point 𝑨 to point 𝑨′.

What do you notice?

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)

is there a 𝟏𝟖𝟎° rotation that would map △𝑨𝑩𝑪 onto △ 𝑨′𝑩′𝑪′? Explain.

Module 2 Lesson 6 Problem Set

Module 2 Lesson 6 Problem Set

Looking only at segment 𝐵𝐶, is it possible that a 180° rotation would map segment 𝐵𝐶 onto segment 𝐵′𝐶′?

Looking only at segment 𝐴𝐵, is it possible that a 180° rotation would map segment 𝐴𝐵 onto segment 𝐴′𝐵′?

Looking only at segment 𝑨𝑪, is it possible that a 𝟏𝟖𝟎° rotation would map segment 𝑨𝑪 onto segment 𝑨′𝑪′?

Connect point 𝑩 to point 𝑩′, point 𝑪 to point 𝑪′, and point 𝑨 to point 𝑨′.

What do you notice?

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)

is there a 𝟏𝟖𝟎° rotation that would map △𝑨𝑩𝑪 onto △ 𝑨′𝑩′𝑪′? Explain.

Looking only at segment 𝐵𝐶, is it possible that a 180° rotation would map segment 𝐵𝐶 onto segment 𝐵′𝐶′?

Looking only at segment 𝐴𝐵, is it possible that a 180° rotation would map segment 𝐴𝐵 onto segment 𝐴′𝐵′?

Looking only at segment 𝑨𝑪, is it possible that a 𝟏𝟖𝟎° rotation would map segment 𝑨𝑪 onto segment 𝑨′𝑪′?

Connect point 𝑩 to point 𝑩′, point 𝑪 to point 𝑪′, and point 𝑨 to point 𝑨′.

What do you notice?

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)

is there a 𝟏𝟖𝟎° rotation that would map △𝑨𝑩𝑪 onto △ 𝑨′𝑩′𝑪′? Explain.

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)

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)