Question

Which of the following combinations of transformations map the rectangle onto itself? Select ALL that apply?

a. Rotation
b. Translation
c. Reflection
d. Dilation

Answer 1

The combinations of transformations that map a rectangle onto itself are rotation, translation, reflection, and dilation.

Step-by-step explanation:

In order for a combination of transformations to map a rectangle onto itself, the transformations must preserve the shape and size of the rectangle. The correct combinations of transformations are:

1. Rotation: A rotation of 90, 180, or 270 degrees around the center of the rectangle.
2. Translation: A translation along the x-axis, y-axis, or both.
3. Reflection: A reflection over a line of symmetry of the rectangle.
4. Dilation: A dilation with a scale factor of 1.