Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

question 7 of 12 (1 point) | question attempt:1 of unlimited (c) select…

Question

question 7 of 12 (1 point) | question attempt:1 of unlimited
(c)
select
not necessarily congruent
o congruent:
△ghi ≅ △\boxed{} by the
congruent:
△uvw ≅ △\boxed{} by the
angle - side - angle (asa) congruence property

Explanation:

Step1: Analyze the first pair of triangles

The first pair of triangles has two sides marked equal but the included angle is not given as equal. So, we cannot use SAS (Side - Angle - Side) congruence criterion.

Step2: Analyze the second pair of triangles

The second pair of triangles has two sides and the included angle marked equal. By the ASA (Angle - Side - Angle) congruence criterion, if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the triangles are congruent.

Answer:

For the first pair: Not Necessarily Congruent. For the second pair: Congruent by the Angle - Side - Angle (ASA) Congruence Property.