Based on the angle-angle criterion triangle ADE is similar to triangle ABC.
The angle-angle criterion states that If two interior angles of two triangles are congruent, then the two triangles are similar.
If we observe all the diagrams (different triangles) in the given image, only triangle ABC satisfies the angle-angle criterion.
In the triangle ABC, the following relationship exists;
- [tex]\frac{AD}{AB} = \frac{DE}{BC} = \frac{AE}{AC}[/tex]
- angle ADE is congruent to ABC.
Thus, we can that based on the angle-angle criterion triangle ADE is similar to triangle ABC.
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