Question

9 multiple choice 1 point which is a true statement about dilations? a dilation always preserves congruence. a dilation sometimes enlarges a figure. a dilation sometimes changes the orientation of the vertices. a dilation always changes the orientation of a figure. clear my selection

Explanation:

• A dilation changes the size of a figure. If the scale factor \(k> 1\), it enlarges the figure; if \(0 < k<1\), it reduces the figure. So, a dilation sometimes enlarges a figure.
• A dilation does not preserve congruence (since it changes size). Congruent figures have the same size and shape.
• A dilation does not change the orientation of the vertices or the figure. The relative positions of the vertices with respect to each other (in terms of clock - wise or counter - clockwise order) remain the same.

Answer:

B. A dilation sometimes enlarges a figure.