CONGRUENCE OF TRIANGLES D2

Prove that the following triangle is isosceles.

Solution

Given: triangle UTW with T produced to V.

Required to prove: ∆UTW is isosceles

Proof: 

UV = VW (given)

<UVT = <WVT = 90⁰ (given)

TV = VT (common line)

∆UVT ≡ ∆WVT by SAS rule 

TU = TW (Equal corresponding sides)

Hence ∆ UTW is isosceles (proved)