Question

Which of the following statements is true about the triangles below

Answer 1

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Among the choices above the statements is true about the triangles below triangle JKN is congruent to triangle LKM by SAS. The answer is D. 

Answer 2

Answer: D- triangle JKN is congruent to triangle LKM by SAS

Step-by-step explanation:

Given: In ΔJKN and ΔLKM ,JK=LK  and NK=MK

To prove: ΔJKN ≅ ΔLKM

Proof:- In ΔJKN and ΔLKM

JK=LK  and NK=MK [given]

∠JKN ≅ ∠LKM  [vertically opposite angles]

∴ΔJKN ≅ ΔLKM [SAS postulate of congruency]

SAS postulate tells that if two sides and the included angle of one triangle are congruent to two sides and the included angle of second triangle, then the two triangles are congruent.