The graph below shows Parallelogram ABDC, which is reflected across the x-axis to form Parallelogram A'B'D'C'.

Question

Which segment is parallel to segment B'D'?
Segment AB
Segment A'B'
Segment AC
Segment A'C'

Answer 1

In the given scenario, Parallelogram ABDC is reflected across the x-axis to form Parallelogram A'B'D'C'. When a shape is reflected, corresponding segments maintain their parallelism.

Since segments B'D' and AB are corresponding segments after reflection (with B' coming from B and D' coming from D across the x-axis), segment AB is parallel to B'D'.

Thus, the correct answer is Segment AB.