# Lesson 10

What Is the Same?

Let’s decide whether shapes are the same.

### Problem 1

If two rectangles have the same perimeter, do they have to be congruent? Explain how you know.

### Problem 2

Draw two rectangles that have the same area, but are not congruent.

### Problem 3

For each pair of shapes, decide whether or not the two shapes are congruent. Explain your reasoning.

1.
2.

### Problem 4

1. Reflect Quadrilateral A over the $$x$$-axis. Label the image quadrilateral B. Reflect Quadrilateral B over the $$y$$-axis. Label the image C.

2. Are Quadrilaterals A and C congruent? Explain how you know.

### Problem 5

The point $$(\text-2,\text-3)$$ is rotated 90 degrees counterclockwise using center $$(0,0)$$. What are the coordinates of the image?

A:

$$(\text-3,\text-2)$$

B:

$$(\text-3,2)$$

C:

$$(3,\text-2)$$

D:

$$(3,2)$$

(From Unit 1, Lesson 5.)

### Problem 6

Describe a rigid transformation that takes Polygon A to Polygon B.

(From Unit 1, Lesson 6.)