Question

Determine which postulate or theorem can be used to prove that XYZ = LYZ.

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

Answer 1

Option 3: ASA (Angle-Side-Angle) can be used to prove that XYZ = LYZ.

Step-by-step explanation:

The postulate or theorem that can be used to prove that XYZ = LYZ is Option 3: ASA (Angle-Side-Angle).

This postulate states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.

In this case, by using the ASA postulate, we can show that the angles XYZ and LYZ are congruent and the included side YZ is congruent, which proves that triangle XYZ is congruent to triangle LYZ.