Question

a triangle with a perimeter of 13 centimeters is rotated and reflected in the coordinate plane. what is the perimeter of the resulting image?

Explanation:

Step1: Recall transformation properties

Rotations and reflections are rigid transformations. Rigid transformations preserve the side lengths of a figure.

Step2: Relate perimeter to side lengths

The perimeter of a triangle is the sum of its three side lengths. Since rigid transformations (rotation and reflection) do not change the lengths of the sides, the sum of the side lengths (the perimeter) remains the same.

Step3: Determine the perimeter of the image

The original triangle has a perimeter of 13 centimeters. After rotation and reflection (rigid transformations), the perimeter of the resulting image is equal to the perimeter of the original triangle.

Answer:

13 centimeters