Question

Determine which postulate or theorem can be used to prove that YXZ = YAZ.

Options:
Option 1: AAS
Option 2: SSS
Option 3: ASA
Option 4: SAS

Answer 1

The postulate/theorem that can be used to prove that YXZ = YAZ is ASA (Angle-Side-Angle).

Step-by-step explanation:

The postulate/theorem that can be used to prove that YXZ = YAZ is ASA (Angle-Side-Angle).

To prove that YXZ = YAZ using ASA, we need to show that angle YXZ = angle YAZ, angle XYZ = angle YAZ, and side XY = side YA. If these conditions are satisfied, then we can conclude that YXZ = YAZ.

First, we know that angle XYZ = angle YAZ, which is given. Then, we can use the fact that angle YXZ = angle XYZ + angle XYX (interior angle sum of a triangle) = angle YAZ + angle XYX. Finally, we can use the fact that side XY = side YA, which is given. Therefore, we have proven that YXZ = YAZ using ASA.