Question

consider the diagram. the congruence theorem that can be used to prove $\triangle mnp \cong \triangle abc$ is \
sas. \
aas. \
sss. \
asa.

Explanation:

To determine the congruence theorem for \(\triangle MNP \cong \triangle ABC\), we analyze the markings:

• \(MN\) and \(AB\) are marked as equal (one pair of sides).
• \(\angle MNP\) and \(\angle ABC\) are marked as equal (one pair of angles).
• \(NP\) and \(BC\) are marked as equal (another pair of sides).

This matches the SAS (Side - Angle - Side) congruence criterion, where two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle.

Answer:

SAS (the option labeled "SAS")