Question

Last question!!

Match the picture to the reason that would prove the triangles congruent.

Options:
NONE
ASA
SSS
SAS
AAS
HL

Answer 1

Answer: SAS

Explanation:

We must prove that triangles ABC and EDC are congruent.

Since BD bisects AE, then AC is congruent with CE.

Since AE bisects BD, then BC is congruent with CD

Angle C is 90° in the triangle EDC and is also 90° in triangle BCA because they are vertical angles.

Being two sides and the included angle congruent, then both triangles are similar by the SAS theorem.

Answer: SAS