Question

Which of the following measurements can be used to prove the congruency of the two triangles $△ABC\text{and}△EFD$?

• A. $\overline{AB}$ , $\overline{EF}$
• B. $\angle A$, $\angle E$
• C. $\angle C$, $\angle D$
• D. $\angle B$, $\angle F$

Answer 1

Answer: (A), (C)

The correct options are
A $\overline{AB}$ , $\overline{EF}$
C $\angle C$, $\angle D$

It is given that , $\overline{AC}$=$\overline{ED}$ and $\overline{FD}$=$\overline{BC}$.
Case 1:
If the measurement of the third side of both the triangles are given , then we can determine the congruency using SSS criteria.
Case 2:
If the measurement of the included angles $\angle C$, $\angle D$ are given, then we can determine the congruency using SAS criteria.