Question

Given: angle z is a right angle
Angle ZXV= Angle ZYU
Line XV~= Line YU

write a two column proof to prove:
Triangle XZV ~= Triangle YZU

Answer 1

Are you also required to write justifications? I'll write those anyway in case you get lost.

Angle ZXV ~= Angle ZYU Given
Line XV ~= Line YU Given
m<Z = 90 degrees Given; <Z is a right angle
m<XZV = m<YZU All measures of right angles are equal.
Angle XZV ~= Angle YZU All right angles are congruent.
Triangle XZV ~= Triangle YZU Angle-Angle-Side Theorem