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10 votes
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

2 Answers

11 votes

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 no 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.

User Blueseal
by
4.3k points
8 votes

Answer:

A, d

Explanation:

User Mateusgf
by
3.4k points