Question

indicate the method you would use to prove the two △s ≅. if no method applies, enter
one\.
asa
sss
aas
sas
none

Explanation:

Step1: Analyze the given information

We have two triangles. One pair of angles is given as \(25^{\circ}\), and there is a pair of vertical angles (which are equal). Also, there is a pair of sides (marked as equal).

Step2: Recall the triangle - congruence criteria

• ASA (Angle - Side - Angle): Two angles and the included side of one triangle are equal to two angles and the included side of another triangle.
• SSS (Side - Side - Side): All three sides of one triangle are equal to all three sides of another triangle.
• AAS (Angle - Angle - Side): Two angles and a non - included side of one triangle are equal to two angles and the corresponding non - included side of another triangle.
• SAS (Side - Angle - Side): Two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle.

In our case, we have two angles (the \(25^{\circ}\) angles and the vertical angles) and a non - included side (the marked equal sides).

Answer:

A. ASA
B. SSS
C. AAS
D. SAS
E. None

The correct answer is C. AAS.