Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

question determine the relationship between the two triangles and wheth…

Question

question
determine the relationship between the two triangles and whether or not they can be proven to be congruent.
answer
the two triangles are related by , so the triangles

Explanation:

Step1: Check for congruent triangle criteria

Congruent triangle criteria include SSS (Side - Side - Side), SAS (Side - Angle - Side), ASA (Angle - Side - Angle), AAS (Angle - Angle - Side), and HL (Hypotenuse - Leg for right - triangles). Here, we have two triangles with two sides marked equal and the included angle (the angle between the two sides) marked equal.

Step2: Apply the SAS criterion

The Side - Angle - Side (SAS) congruence 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, then the two triangles are congruent.

Answer:

The two triangles are related by SAS (Side - Angle - Side), so the triangles are congruent.