Question

Describe a sequence of two transformations that maps rectangle EFGH onto the other rectangle.

a) First, rotate EFGH 90 degrees counterclockwise, then reflect it over the y-axis.
b) First, scale EFGH by a factor of 2, then translate it 4 units to the right.
c) First, reflect EFGH over the x-axis, then rotate it 180 degrees counterclockwise.
d) First, translate EFGH 3 units to the left, then rotate it 45 degrees counterclockwise.

Answer 1

To map rectangle EFGH onto the other rectangle, we need to perform two transformations: rotate 90 degrees counterclockwise and reflect over the y-axis.

Step-by-step explanation:

To map rectangle EFGH onto the other rectangle, we need to perform two transformations. The correct sequence of transformations is as follows:

1. First, rotate EFGH 90 degrees counterclockwise. This will change the orientation of the rectangle while keeping its shape and size intact.
2. Next, reflect the rotated rectangle over the y-axis. This will flip the rectangle horizontally while preserving its orientation and size.

By performing these two transformations in sequence, we will map rectangle EFGH onto the other rectangle.