Question

question 5 of 10
is \\( \triangle t a g \sim \triangle b a g \\) ? if so, identify the similarity postulate or theorem that applies.

a. similar - aa
b. similar - sss
c. similar - sas
d. cannot be determined

Explanation:

Step1: Check for right angles

Both \(\triangle TAG\) and \(\triangle BAG\) have a right - angle (\(\angle TGA=\angle BGA = 90^{\circ}\)).

Step2: Check for common angle

Both triangles share the angle \(\angle TAG\) and \(\angle BAG\) (the same vertex \(A\)).
By the AA (Angle - Angle) similarity criterion, if two angles of one triangle are equal to two angles of another triangle, the triangles are similar.

Answer:

A. Similar - AA