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Prove triangles below congruent by SSS, SAS, AAS, ASA, or HL. If not congruent choose NC. (multiple choice)


ASA

HL

NC

SSS

AAS

SAS

Respuesta :

Answer:

SAS

Step-by-step 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

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