ry0446
contestada

Line segments AD and BE intersect at C, and triangles ABC and DEC are formed. They have the following characteristics:



∠ACB and ∠DCE are vertical angles

∠B ≅ ∠E

BC ≅ EC

Which congruence theorem can be used to prove △ABC ≅ △DEC?

HL
ASA
SSS
SAS

Respuesta :

mathstudent55
Angles B and E are congruent.              -------->    Angle
Sides BC and EC are congruent.               -------->    Side
Vertical angles ACB and DCE are congruent.    ------->    Angle

The triangles are congruent by ASA.

Answer: B. ASA
jayilych4real

The congruence theorem which can be used to prove △ABC ≅ △DEC is:

  • B. ASA

Angles B and E are congruent.              -------->    Angle

Sides BC and EC are congruent.               -------->    Side

Vertical angles ACB and DCE are congruent.    ------->    Angle

Congruence Theorem

This states that two triangles are congruent if they have the same shape and size.


With this in mind, we can see that there are different congruence theorems which includes:

  • SSS
  • SAS
  • ASA
  • AAS, etc

Read more about congruence here:
https://brainly.com/question/2102943

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