Which of the following transformations will always produce a congruent figure?
a. reflection
b. dilation
c. expansion
d. contraction
which of the following transformations will produce a similar, but not congruent figure?
a. dilation
b. translation
c. reflection
d. rotation

The correct answers are:
A) reflection
A) dilation.

Explanation:
To produce a congruent figure, the angle measures of the image and the side lengths of the image must be the same as the angle measures and side lengths of the pre-image. This means we cannot shrink, expand, or contract the figure; by definition those transformations change the size. This leaves reflection.

To produce a similar, but not congruent, figure, we must change the side lengths while keeping the angle measures preserved. Translations, reflections and rotations will move a figure but do not change the side lengths; dilation is the only choice that will change the side lengths.

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