BE is the bisector of ∠ABC and CD is the bisector of ∠ACB.

Also, ΔXBA ≅ ΔYCA.

Which of the following theorems would you use to help you prove BL = CM?

A. ASA
B. AAS
C. SSS
D. SAS

BE is the bisector of ABC and CD is the bisector of ACB Also ΔXBA ΔYCA Which of the following theorems would you use to help you prove BL CM A ASA B AAS C SSS class=

Respuesta :

Given that BE is the bisector of ∠ABC and CD is the bisector of ∠ACB; ΔXBA≡ΔYCA
then:
AB=AC
since
∠ABC=∠ACB
then
MB=LC
thus
ΔBMC=ΔBLC
thus
MC=BL 
hence the correct answer is:
SAS (side angle side) postulate