Question

A shape with an area of 14.5 square feet goes through the two transformations listed

below.
• rotate 90° clockwise around its center
• translate 8 units to the right
What is the area, in square feet, of the shape after the two transformations?

Answer 1

The two transitions do not change the size or shape of the object. A rotation of 90 degrees only spins the shape and does not change the size of the shape. A translation to the right only moves the shape in that direction and does not change the size of the shape, therefore the area would remain the same.

Answer 14.5 square feet.