Question

example 4
ex4: which congruency theorem can be used to prove that these triangles are
congruent?
asa
hl
aas
sas
sss

Explanation:

Step1: Recall congruence theorems

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

Step2: Analyze the given triangles

• The triangles are right - angled (right angles are given).
• The hypotenuse (the common side marked with two ticks) is equal for both triangles.
• One leg (marked with one tick) is equal for both triangles.

Answer:

HL