Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

determine the relationship between the two triangles and whether or not…

Question

determine the relationship between the two triangles and whether or not they can be proven to be congruent.
answer attempt 1 out of 2
the two triangles are related by , so the triangles

Explanation:

Step1: Analyze triangle congruence criteria

Check for congruence rules like SSS (Side - Side - Side), SAS (Side - Angle - Side), ASA (Angle - Side - Angle), AAS (Angle - Angle - Side), and HL (Hypotenuse - Leg for right - angled triangles).

Step2: Identify triangle type and sides

Both are right - angled triangles. The first triangle has two equal sides (marked with two ticks), and the second triangle also has two equal sides (marked with two ticks).

Step3: Determine congruence

Since they are right - angled and have two equal sides (SAS for right - angled triangles, as the right angle is the included angle between the two sides), they are congruent.

Answer:

The two triangles are related by congruence (specifically by the SAS congruence criterion for right - angled triangles), so the triangles are congruent.