CONGRUENCE OF SIMPLE POLYGONS B2

Prove that the following triangle is isosceles.

Solution

Given: triangle JKL with K produced to X.

Required to prove: ∆JKL is isosceles

Proof: JX = XL (given)

<JXK = <LXK = 90⁰ (given)

KX = XK (common line)

∆LXM ≡ ∆NXM by SAS rule 

KJ = KL (Equal corresponding sides)

Hence ∆JKL is isosceles (proved)