CONGRUENCE OF SIMPLE POLYGONS

 In the following figure, prove that ∆UVX is congruent to ∆WVX

solution

Given: figure UVWX with V produced to X

Required to prove: ∆UVX ≡ ∆WVX

Proof: VX = VX (common and given)

<UVX = <WVX (given)

VU = VW (given)

Hence ∆UVX ≡ ∆WVX by SAS rule (proved)