Question

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

Explanation:

Step1: Recall congruence theorems

• SSS (Side - Side - Side): If three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.
• SAS (Side - Angle - Side): If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.
• 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.
• AAS (Angle - Angle - Side): If two angles and a non - included side of one triangle are equal to two angles and the corresponding non - included side of another triangle, the triangles are congruent.
• HL (Hypotenuse - Leg): For right - angled triangles, if the hypotenuse and one leg of one right - angled triangle are equal to the hypotenuse and one leg of another right - angled triangle, the triangles are congruent.

Step2: Analyze the given triangles

From the figure, we can see that all three pairs of corresponding sides are marked as equal.

Answer:

SSS