Question

example 3
ex3: which of the following congruency theorem can be used to prove that the two
triangles are congruent?
sss
hl
sas
aas
asa

Explanation:

Step1: Recall congruency theorems

• ASA (Angle - Side - Angle): 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.
• SAS (Side - Angle - Side): Two sides and the included angle.
• AAS (Angle - Angle - Side): Two angles and a non - included side.
• SSS (Side - Side - Side): All three sides.
• HL (Hypotenuse - Leg): For right - angled triangles.

Step2: Analyze the given triangles

• From the figure, we can see that there are two angles and the included side (by observing the markings of equal angles and equal side) that match between the two triangles.

Answer:

ASA