Question

1. when rectangle abcd is reflected across line ef, the image is dcba.

how do you know that segment ab is congruent to segment dc?
a. a rectangle has 2 pairs of parallel sides.
b. any 2 sides of a rectangle are congruent.
c. congruent parts of congruent figures are corresponding.
d. corresponding parts of congruent figures are congruent.

Explanation:

When a figure is reflected, the original figure and its image are congruent. In this case, rectangle \(ABCD\) and its reflected image \(DCBA\) are congruent. For congruent figures, corresponding parts (such as sides) are congruent. Segment \(AB\) in rectangle \(ABCD\) and segment \(DC\) in rectangle \(DCBA\) are corresponding parts.

Answer:

D. corresponding parts of congruent figures are congruent.