Question

example 5
ex5: which congruency theorem can be used to prove that these triangles are congruent?
aas
hl
asa
sas
sss

Explanation:

Step1: Recall congruency theorems

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

Step2: Analyze the given triangles

From the figure, we have two angles (the vertical angles are equal) and a side (marked with cross). The side is between the two angles (the vertical angle and the other marked angle). This matches the ASA (Angle - Side - Angle) congruency theorem.

Answer:

ASA