Which of the following statements is true about the triangles below?

AΔABC = ΔDEF by SSA
BΔABC = ΔDEF by AAS
CΔABC = ΔDEF by SAS
DΔABC = ΔDEF by ASA

Which of the following statements is true about the triangles below? a. ΔABC = ΔDEF by SSA b. ΔABC = ΔDEF by AAS c. ΔABC = ΔDEF by SAS d. ΔABC = ΔDEF by ASA class=

Verified Answer :

d. ΔABC = ΔDEF by ASA

Answer:

The correct option is c.

Step-by-step explanation:

From the given diagram we have two triangles.

In triangle ABC and DEF,

\(AB=DE\)                   (Given)

\(\angle A=\angle D\)                   (Given)

\(AC=DF\)                   (Given)

According to the SAS property of congruent triangles, two triangles are congruent if two sides and included angle is same.

By SAS property of congruent triangles, we get

\(\triangle ABC\cong \triangle DE F\)

\(\triangle ABC= \triangle DE F\)

Therefore the correct option is c.