Question

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

Answer 1

Answer:

Option D is correct.

$\triangle ADE \sim \triangle ABC$

Step-by-step 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:

⇒$\triangle ADE \sim \triangle ABC$