Question

17
parallelogram pqrs
is dilated to create
parallelogram pqrs.
which one of the following statements
is true about the
angles of the two
parallelograms?
a. each angle of parallelogram pqrs was dilated by a scale factor 1/3
b. corresponding angles of parallelograms pqrs and pqrs are all proportional.
c. each angle of parallelogram pqrs was dilated by a scale factor 3.
d. corresponding angles of parallelograms pqrs and pqrs are all congruent.

Explanation:

Dilation is a transformation that changes the size of a figure but preserves its shape. For any dilated figure, corresponding angles remain identical (congruent) because only side lengths are scaled, not the angle measures. Options A, B, and C incorrectly claim angles are scaled or proportional, which contradicts the properties of dilation.

Answer:

D. Corresponding angles of parallelograms PQRS and P'Q'R'S' are all congruent.