Question

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.

Answer 1

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

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.

Answer 2

Answer: E

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.