Question

7 is △ tag ~ △ bag? 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: Analyze Right Angles

Both $\triangle TAG$ and $\triangle BAG$ have a right angle (at $G$ for $\triangle TAG$ and likely at $G$ for $\triangle BAG$ since $AG \perp TB$). So one pair of congruent angles.

Step2: Analyze Common Angle

$\angle TAG$ and $\angle BAG$ are the same angle (common angle at $A$). So a second pair of congruent angles.

Step3: Apply AA Similarity

By the AA (Angle - Angle) similarity postulate, if two angles of one triangle are congruent to two angles of another triangle, the triangles are similar. So $\triangle TAG \sim \triangle BAG$ by AA.

Answer:

A. Similar - AA