Question

choose all that correctly describe a property of a similarity transformation. a corresponding angles are congruent for a similarity transformation. b corresponding side lengths are congruent for a similarity transformation. c the scale factor for a similarity transformation is the product of the scale factors. d each point p in the plane has a pre - image for some point p.

Explanation:

• For option A: Similarity transformations preserve angle measure, so corresponding angles are congruent.
• For option B: Similarity transformations scale side lengths, so corresponding sides are proportional, not congruent (unless scale factor = 1, a special case, not a general property).
• For option C: When combining multiple similarity transformations, the overall scale factor is the product of individual scale factors.
• For option D: Similarity transformations are bijections (one-to-one and onto), so every image point has a unique pre-image.

Answer:

A. Corresponding angles are congruent for a similarity transformation.
C. The scale factor for a similarity transformation is the product of the scale factors.
D. Each point P' in the plane has a pre-image for some point P.