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wangjing2312

Answer:

DCE is similar to AED

EBA is similar to AED

AFE is similar to AED

EFD is similar to AED

Step-by-step explanation:

Triangle AED:

D=53(alternate interior angle)

A=180-90-53=37 (angle of triangle)

AA similarity criterion

DCE is similar to AED

angle BEA=180-90-53=37=angle A of AED

Thus: AA similarity criterion:

EBA is similar to AED

The diagonal of parallelogram(here:rectangle) cut it into 2 congruent triangles

Thus:

EBA is congruent to AFE

EBA is congruent to AFEDCE is congruent to EFD

Congruent triangles are similar

Conclusion:

DCE is similar to AED

EBA is similar to AED

AFE is similar to AED

EFD is similar to AED

Please give brainliest if it helps

The triangles are similar to triangles AED are DCE is similar to AED, EBA is similar to AED, AFE is similar to AED, EFD is similar to AED.

We have to determine

What triangles are similar to triangle AED?

According to the question

Alternate interior angles are formed when a transversal passes through two lines.

The angles that are formed on opposite sides of the transversal and inside the two lines are alternate interior angles.

In the triangle AED:

The angle is equal to 53.

Then,

A=180-90-53=37

DCE is similar to AED.

Here EBA, DCE, EF, D, and AFE bc it doesn’t matter about the size it matters about the angle whether it stays the same and you can clearly see that angle b, and f, angle, c, and angle e are all 90 degrees making the triangles I listed similar to triangle AED.

Hence, The triangles are similar to triangles AED are DCE is similar to AED, EBA is similar to AED, AFE is similar to AED, EFD is similar to AED.

To know more about Triangle click the link given below.

https://brainly.com/question/23919428

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