Question

what congruency statement will cpctc allow us to state about the triangles shown? two of these (overline{mn}congoverline{bc}) (angle mcongangle a) (angle pcongangle b)

Explanation:

Step1: Recall CPCTC

CPCTC stands for Corresponding Parts of Congruent Triangles are Congruent.

Step2: Identify corresponding parts

If $\triangle MNP\cong\triangle ABC$, then $\overline{MN}\cong\overline{AB}$, $\overline{NP}\cong\overline{BC}$, $\overline{MP}\cong\overline{AC}$, $\angle M\cong\angle A$, $\angle N\cong\angle B$, $\angle P\cong\angle C$. Given the markings (right - angles and congruent sides), if the triangles are congruent, $\angle M\cong\angle A$ (corresponding angles) and $\angle P\cong\angle B$ (corresponding angles) and also side - side congruences can be established. So two or more of the given statements can be true depending on triangle congruence.

Answer:

Two of these