Question

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7.
Given: ∠LKM ≅ ∠JKM, ∠LMK ≅ ∠JMK.
Prove: ∆LKM ≅ ∆JKM

Choose the word that completes the sentence correctly.

Proof: ∠LKM ≅ ∠JKM and ∠LMK ≅ ∠JMK are given. by the Reflexive Property of Congruence. ∆LKM ≅ ∆JKM by the _____


AAS Theorem.


SSS Postulate.


ASA Postulate.


SAS Postulate.

Answer 1

Answer: ASA Postulate.

Explanation:

Given: ∠LKM ≅ ∠JKM, ∠LMK ≅ ∠JMK.

To Prove: ∆LKM ≅ ∆JKM

Proof: ∠LKM ≅ ∠JKM and ∠LMK ≅ ∠JMK are given.

Also, KM≅KM by the Reflexive Property of Congruence.

[The reflexive property of congruence says that any geometric shape is congruent to itself.]

∆LKM ≅ ∆JKM by the ASA Postulate congruence.

• ASA Postulate says that if two angles and the included side of a triangle are congruent or equal to the corresponding parts of another triangle, then the triangles must be congruent.

Answer 2

ASA Postulate I believe because line MK will be equal to itself.