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Parallelogram ABCD is dilated to form parallelogram EFGH. Which corresponding angle is congruent to angle A? Type your answer in the box below as a single letter to represent the angle. For example, if the answer is angle X, simply type X in the blank.

Verified Answer :

Answer: E  

Step-by-step explanation:

In Parallelogram ABCD and EFGH ,

∠A, ∠B, ∠C and ∠D are corresponding to ∠E, ∠F, ∠G and ∠H respectively.

Since, According to the given question,

parallelogram ABCD is dilated to form parallelogram EFGH,

Therefore, By the property of dilation,

Parallelogram  ABCD is similar to parallelogram EFGH,

⇒ ∠A, ∠B, ∠C and ∠D are congruent to ∠E, ∠F, ∠G and ∠H respectively.

Thus Angle A is congruent To angle E.



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Answer:

Angle E is congruent to angle A, So the required answer is E.

Step-by-step explanation:

If a figure dilated, then the image and pre-image are similar figures.

It is given that angle parallelogram ABCD is dilated to form parallelogram EFGH.

It means both parallelogram are similar.

\(ABCD\sim EFGH\)

The corresponding angles of similar figure are same.

\(\angle A=\angle E\)

\(\angle B=\angle F\)

\(\angle C=\angle G\)

\(\angle D=\angle H\)

Therefore angle E is congruent to angle A. The required answer is E.

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