Question

if the two triangles are congruent, state how you know. if not, state
ot congruent.\ aas sas asa sss not congruent

Explanation:

Step1: Recall congruence criteria

The SAS (Side - Angle - Side) criterion states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent. The SSS (Side - Side - Side) criterion states that if three sides of one triangle are equal to three sides of another triangle, the triangles are congruent. The ASA (Angle - Side - Angle) criterion states that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, the triangles are congruent. The AAS (Angle - Angle - Side) criterion states that if two angles and a non - included side of one triangle are equal to two angles and the corresponding non - included side of another triangle, the triangles are congruent.

Step2: Analyze the given triangles

From the figure, we can see that two sides of one triangle are equal to two sides of the other triangle (marked with one and two hash marks respectively), and the vertical angles (which are equal) are the included angles. But wait, looking at the side markings more carefully, we can count the hash marks on the sides. Let's assume the side with three hash marks is common (by vertical angle intersection). We have three pairs of equal sides.

Answer:

SSS