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

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=

Respuesta :

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,

[tex]AB=DE[/tex]                   (Given)

[tex]\angle A=\angle D[/tex]                   (Given)

[tex]AC=DF[/tex]                   (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

[tex]\triangle ABC\cong \triangle DE F[/tex]

[tex]\triangle ABC= \triangle DE F[/tex]

Therefore the correct option is c.