Question

Given: ∠LKM ≅ ∠JKM
∠LMK ≅ ∠JMK

Prove: ∆LKM ≅ ∆JKM

Which method can you use to prove these triangles congruent?

the ASA Postulate


the SAS Postulate


the HL Theorem


the AAS Theorem

Answer 1

Answer:

ASA

Step-by-step explanation:

Answer 2

Answer: the ASA Postulate

Step-by-step explanation:

In the given picture , we have two triangles ∆LKM and ∆JKM , in which we have

$\angle{LKM}\cong\angle{JKM}\\\\\angle{LMK}\cong\angle{JMK}$

$\overline{KM}\cong\overline{KM}$ [common]

By using ASA congruence postulate , we have

∆LKM and ∆JKM

ASA  congruence postulate tells that if two angles and the included side of a triangle are congruent to two angles and the included side of other triangle then the triangles are congruent.