Question

which of the following are congruence transformations? check all that apply. reflecting shrinking rotating stretching translating

Explanation:

Step1: Recall congruence transformations

Congruence transformations (also called isometries) are transformations that preserve the shape and size of a figure, so the image is congruent to the pre - image. The three main types of congruence transformations are reflection, rotation, and translation.

Step2: Analyze each option

• Reflecting: A reflection (flip) over a line creates a mirror - image of the original figure. The shape and size of the figure remain the same, so it is a congruence transformation.
• Shrinking: Shrinking a figure means reducing its size. This changes the side lengths (or the scale) of the figure, so the image is not congruent to the pre - image. It is a non - congruence (similarity or dilation - related) transformation.
• Rotating: A rotation (turn) of a figure around a point rotates the figure without changing its shape or size. So, it is a congruence transformation.
• Stretching: Stretching a figure changes its shape by altering the lengths of some of its sides (or dimensions). This means the image is not congruent to the pre - image, so it is not a congruence transformation.
• Translating: A translation (slide) of a figure moves the figure from one position to another without changing its shape or size. So, it is a congruence transformation.

Answer:

A. Reflecting, C. Rotating, E. Translating