Question

lesson 1 practice problems

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:

Step1: Understand reflection property

Reflection is a rigid transformation. Rigid transformations (like reflection) produce congruent figures. So rectangle \(ABCD\) and its image \(DCBA\) are congruent.

Step2: Recall congruent - figure property

For congruent figures, the property is that corresponding parts of congruent figures 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.