Answer: A. Figure ABCD is similar to figure A'B'C'D'.
Step-by-step explanation:
Given : Figure ABCD is reflected about the x-axis to obtain figure A'B'C'D'.
Since a reflection is a rigid transformation which produces congruent images.
⇒ Figure ABCD must be congruent to figure A'B'C'D'.
⇒ Figure ABCD has same size as figure A'B'C'D'.
⇒ Figure ABCD must be similar to figure A'B'C'D'. [ ∵ If two figures are congruent then they are also similar.]
Reflection preserves side length and measure of angles .
⇒ Corresponding angles and side lengths of figure ABCD must be congruent to figure A'B'C'D'.
⇒ The measure of angle D is equal to the measure of angle D'.
Hence, the statement best describes the relationship between the two figures is :-
A. Figure ABCD is similar to figure A'B'C'D'.
