Question

example 1
ex1: which congruency theorem can be used to prove that these triangles are congruent?
hl
aas
asa
sas
sss
rewatch

Explanation:

Step1: Analyze triangle sides

The two triangles share a common side (the middle one with two marks), and the other two sides of each triangle are marked as equal (one pair with single marks, one pair with triple marks). So all three corresponding sides are equal.

Step2: Match with congruence theorem

SSS (Side - Side - Side) congruence theorem states that if three sides of one triangle are equal to three corresponding sides of another triangle, the triangles are congruent. Here, all three sides match, so SSS applies. HL is for right triangles (not indicated here), SAS needs two sides and included angle, ASA and AAS need angles (not marked here).

Answer:

SSS (the checkbox next to "SSS" should be selected)