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

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

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

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.

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

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

Polygon A and its image polygon B on a coordinate plane, origin <span class="math" data-png-file-id="35">\(O\)</span>. Horizontal axis scale negative 6 to 6 by 1’s. Vertical axis scale negative 3 to 3 by 1’s. Polygon A has coordinates (negative 6 comma 2), (negative 6 comma 3), (negative 2 comma 3), (negative 2 comma 1), (negative 3 comma 1)and (negative 3 comma 2). Triangle B has coordinates (6 comma negative 2), (6 comma negative 3), (2 comma negative 3), (2 comma negative 1), (3 comma negative 1) and (3 comma negative 2).