Question

question 2 (1 point)
can you use the aas postulate to prove the triangles congruent?

a yes because vertical angles
b yes because reflexive property
c yes because asa
d no because it is not the correct side

Explanation:

Step1: Recall AAS and vertical angles

The AAS (Angle - Angle - Side) postulate states that if two angles and a non - included side of one triangle are congruent to two angles and the corresponding non - included side of another triangle, then the triangles are congruent. Also, vertical angles are congruent.
In the given figure, we have two angles (the given angles in the triangles) and the vertical angles (which are congruent). The side is non - included with respect to the two angles.

Step2: Check the options

• Option a: Since we have two angles (one pair is given, the other pair is vertical angles) and a non - included side (marked as equal), we can use AAS. The vertical angles are congruent.
• Option b: The reflexive property is about a figure being congruent to itself (\(AB = AB\) type), which is not relevant here for AAS.
• Option c: ASA (Angle - Side - Angle) requires the side to be included between the two angles. Here, we are using AAS, not ASA.
• Option d: The side is the correct non - included side for AAS.

Answer:

a. yes because vertical angles