Lesson 10: Practice Problems

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.

Problem 4

Reflect Quadrilateral $A$ over the $x$ -axis. Label the image quadrilateral $B$ . Reflect Quadrilateral $B$ over the $y$ -axis. Label the image $C$ .
Are Quadrilaterals $A$ and $C$ congruent? Explain how you know.

Problem 5 From Unit 1 Lesson 5

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

$(- 3, - 2)$
$(- 3, 2)$
$(3, - 2)$
$(3, 2)$

Problem 6 From Unit 1 Lesson 6

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

A coordinate plane with polygon A in quadrant 2 and polygon B in quadrant 4.