Question

1. select true or false. a dilation is a similarity transformation in which the corresponding angles are congruent. a dilation is a similarity transformation in which the corresponding sides are congruent. a dilation is the only transformation that results in congruent corresponding angles.

Explanation:

• First statement: A dilation is a similarity transformation. Similarity transformations preserve angle measures. So, corresponding angles are congruent. This statement is True.
• Second statement: In a dilation, the corresponding sides are in proportion (by the scale factor of the dilation). They are not congruent (unless the scale factor is 1, but dilation is defined for non - 1 scale factors as well). This statement is False.
• Third statement: Other transformations like translations, rotations, and reflections (rigid transformations) also preserve angle measures (corresponding angles are congruent). So, dilation is not the only transformation that results in congruent corresponding angles. This statement is False.

Answer:

• A dilation is a similarity transformation in which the corresponding angles are congruent: True
• A dilation is a similarity transformation in which the corresponding sides are congruent: False
• A dilation is the only transformation that results in congruent corresponding angles: False