Lesson 07: No Bending or Stretching | Unit 1: Rigid Transformations and Congruence

Open Ended

Is there a rigid transformation taking Rhombus P to Rhombus Q? Explain how you know.

Multiple Choice

What rigid transformation takes Triangle A to Triangle B? Triangle A has coordinates (0, 0), (3, 2), and (3, 0). Triangle B has coordinates (3, 2), (6, 4), and (6, 2).

• Reflection over the x-axis
• Rotation 90 degrees clockwise
• Translation 3 units right and 2 units up
• Translation 2 units left and 3 units down

Open Ended

Is there a rigid transformation taking Rectangle A to Rectangle B? Explain how you know.

Open Ended

What is the length of side $$B’C’$$ ? Explain how you know. Context: In the picture triangle $$A’B’C’$$ is an image of triangle $$ABC$$ after a rotation. The center of rotation is $$D$$ .

Open Ended

What is the measure of angle $$B$$ ? Explain how you know. Context: In the picture triangle $$A’B’C’$$ is an image of triangle $$ABC$$ after a rotation. The center of rotation is $$D$$ .

Open Ended

What is the measure of angle $$C$$ ? Explain how you know. Context: In the picture triangle $$A’B’C’$$ is an image of triangle $$ABC$$ after a rotation. The center of rotation is $$D$$ .

Multiple Choice

What rigid transformation takes Polygon A to Polygon B?

• Translation
• Dilation
• Reflection
• Rotation

Open Ended

In the picture, quadrilateral $$A’B’C’D'$$ is an image of quadrilateral $$ABCD$$ after a rotation. The center of rotation is $$E$$ . What is the length of side $$AB$$ ? Explain how you know.

Open Ended

In the picture, quadrilateral $$A’B’C’D'$$ is an image of quadrilateral $$ABCD$$ after a rotation. The center of rotation is $$E$$ . What is the measure of angle $$D'$$ ? Explain how you know.