Question

Are these triangles similar, if so how do I prove it(SSS,AA or SAS)? I marked the vertical angles as congruent.

Answer 1

The two triangles are similar by SAS

Here, we want to check if the triangles are similar

As we can see, we have a pair of vertically opposite angle that are equal on both triangles

When two triangles are similar, the ratio of their corresponding sides are equal

Looking at the given sides;

`(3.6)/(4.8)\text{ = }(9)/(12)`

These ratios are equal

That means that the triangles are similar

The angle is between the two sides, so we have a SAS similarity

Thus, the two triangles are similar by SAS