Question

Determine if triangle STU and triangle VWX are or are not similar, and, if they are, state how

you know. (Note that figures are NOT necessarily drawn to scale.)
38 88
X
40
W
88
380
SSS: three sides proportionate
SSS: three sides congruent
SAS: two sides proportionate, included angle congruent
SAS: two sides + included angle congruent
AA: two angles congruent
V
同
Which option?

Answer 1

The triangles STU and VWX are similar by AA two angles congruent

Determining if the triangles STU and VWX are similar

From the question, we have the following parameters that can be used in our computation:

The triangles

Where, we have the

Two corresponding angles of both triangles are congruent

This means that they are similar by AA

The AA similarity statement says that:

If two angles in one triangle are congruent to two angles in another triangle, then the two triangles are similar.

This in other words mean that, if two triangles have two pairs of matching angles that are equal in size, then the triangles are similar.

This means that their corresponding sides are proportional, and their corresponding angles are congruent.

Hence, the triangles STU and VWX are similar by AA