Lesson 11
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.
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
The point \((\text2,\text3)\) is rotated 90 degrees counterclockwise using center \((0,0)\). What are the coordinates of the image?
\((\text3,\text2)\)
\((\text3,2)\)
\((3,\text2)\)
\((3,2)\)
Problem 6
Describe a rigid transformation that takes Polygon A to Polygon B.