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Which triangles are similar by the angle-angle criterion for similarity of triangles ?

Which triangles are similar by the angle-angle criterion for similarity of triangles-example-1

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5 votes

Answer:

Option D is correct.


\triangle ADE \sim \triangle ABC

Explanation:

In triangle ADE and triangle ABC

From the figure:


\angle ADE = \angle ABE [Angle] [Given]


\angle DAE = \angle BAC [Angle]

AA(Angle-Angle) similarity criterion states that in two triangles if two pairs of corresponding angles are equal, then these triangle Similar.

By AA similarity:


\triangle ADE \sim \triangle ABC

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