Question

Which triangle is similar to triangle EAD using the Pieces of Right Triangles Similarity Theorem? (5 points)

Triangle DAC
Triangle CAB
Triangle ACD
Triangle BAC

Answer 1

The triangle that is similar to triangle EAD is Triangle DAC

How to find the triangle similarity theorem?

The triangle similarity theorem states that two triangles are similar if they have the same ratio of corresponding sides and equal pairs of corresponding angles.

There are three theorems for proving triangle similarity:

AA (Angle-Angle) Theorem,

SAS (Side-Angle-Side) Theorem,

SSS (Side-Side-Side) Theorem

Now, from the given figure it is clear that the triangle that is similar to triangle EAD is Triangle DAC by the AA (Angle-Angle) Theorem,