Question

What similarity statement can you write relating the three triangle in the diagram?​

Answer 1

Answer:

D.

Step-by-step explanation:

In triangle EAK, A is the right angle.

In triangle AGK, G is the right angle.

In triangle EGA, G is the right angle.

That means we know that those letters have to be in the same position in the names of the three triangle.

The triangles are being written in the order: EAK, AGK, EGA

_A_   ~   _G_   ~   _G_

Angle E of triangle EAK corresponds to angle E of triangle EGA.

EA_   ~   _G_   ~   EG_

Angle K of triangle EAK corresponds to angle K of triangle AGK.

EAK   ~   _GK   ~   EG_

There is only one vertex missing in the last two triangles, so they must be A and A.

EAK   ~   AGK   ~   EGA

Answer: D.