Lesson 6: Practice Problems

Problem 1

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

Rhombus P and Rhombus Q

Problem 2

Describe a rigid transformation that takes Triangle $A$ to Triangle $B$ .

Triangle A with vertexes (0, 0), (3, 0), and (3, 2). Triangle B with vertexes (3, 2), (6, 2), and (6, 4). There is a line from (0,0) that is the hypotenuse of both triangles.

Problem 3

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

Rectangle A and Rectangle B. A is narrower than B.

Problem 4

For each shape, draw its image after performing the transformation. If you get stuck, consider using tracing paper.

Translate the shape so that $A$ goes to $A^{'}$ .
Rotate the shape 180 degrees counterclockwise around $B$ .
Reflect the shape over the line shown.