Question

question 24 (1 point)
determine if the two triangles are congruent. if they are, state how you know.

options:
a asa
b sas
c not enough information
d sss
e aas
f hl

Explanation:

Step1: Identify Vertical Angles

The two triangles share a pair of vertical angles, which are congruent.

Step2: Identify Marked Sides

From the diagram, two pairs of sides are marked as congruent (one pair with two ticks, one pair with three ticks), and the vertical angles are between these sides.

Step3: Apply SAS Criterion

The SAS (Side - Angle - Side) congruence criterion states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, the triangles are congruent. Here, two sides are congruent (marked) and the included angle (vertical angles) is congruent, so SAS applies.

Answer:

b. SAS