Question

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

Answer 1

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`