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natima [27]
3 years ago
10

===============================================================

Mathematics
1 answer:
MAXImum [283]3 years ago
6 0

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'.

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