The proof refers to the figure shown here. Drag the word choices below to supply the missing statements and reasons in the proof.
Line segment XV and WY crosses each other at the point Z.
Linear Pairs Theorem added to
SubstitutionCongruent Supplements TheoremLaw of SyllogismAngle Addition PostulateDefinition of Perpendicular LinesDefinition of Linear PairVertical Angles TheoremTransitive Property of Equality
Statement Reason
1 ∠WZX ≅ ∠WZV Given
2 ∠WZX and ∠WZV are a linear pair.
Linear Pairs Theorem
3 m∠WZX + m∠WZV = 180°
4 m∠WZX + m∠WZX = 180°
5 m∠WZX = 90° Subtraction Property of Equality
6 WY ⊥ VX