Question

which of the following transformations will always produce a congruent figure?
○a. expansion
○b. rotation
○c. contraction
○d. dilation

Explanation:

• Expansion: Changes the size of the figure (makes it larger), so the figure is not congruent (congruent figures have the same shape and size).
• Rotation: Only changes the orientation of the figure. The shape and size of the figure remain the same. So, the pre - image and the image (after rotation) are congruent.
• Contraction: Changes the size of the figure (makes it smaller), so the figure is not congruent.
• Dilation: Changes the size of the figure (either makes it larger or smaller depending on the scale factor), so the figure is not congruent.

Answer:

B. rotation