Question

by which rule are these two triangles congruent?
q
d
j
w
m
c
sas
asa
sss
hl
aas

Explanation:

Step1: Recall congruence rules

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

Step2: Analyze the given triangles

From the markings on the triangles, we can see that all three sides of triangle \(QDJ\) are equal to all three sides of triangle \(MWC\).

Answer:

SSS