Question

Which of the following statements correctly explains how to perform a rotation, then a reflection of a rectangle on the coordinate plane?

a) The rectangle is first rotated around a point, and then it is reflected over a line.
b) The rectangle is first reflected over a line, and then it is rotated around a point.
c) The rectangle is first translated to a new location, and then it is rotated around a point.
d) The rectangle is first scaled in size, and then it is rotated around a point.

Answer 1

The correct statement is that the rectangle is first reflected over a line, and then it is rotated around a point.

Step-by-step explanation:

The correct statement that explains how to perform a rotation, then a reflection of a rectangle on the coordinate plane is option b) The rectangle is first reflected over a line, and then it is rotated around a point.

This means that first, the rectangle is reflected over a line, which results in a mirror image of the original rectangle. Then, the reflected rectangle is rotated around a point, changing its orientation.

For example, if the rectangle is reflected over the x-axis and then rotated 90 degrees counterclockwise around the origin, the resulting rectangle would have the same width and height as the original but would be in a different position.