Question

In the figure below DEF and PFE are two Triangles in which DE = PF and DF = PE . State the corresponding parts so that ∆ DEF congruent ∆ PFE . Which criterion would you use to establish the congruence ?​

Answer 1

Answer:

in ΔDEF  and ΔPFE

DE = PF (given)

DE = PF (given)

EF = EF (common)

ΔDEF ≅ ΔPFE (  SSS congruence rule )

corresponding parts so that ∆ DEF congruent ∆ PFE are

angle DEF = angle PFE

angle EDF = angle FPE

angle DFE = angle PEF