The proof refers to the figure shown here. Drag the word choices below to supply the missing reasons in the proof. Lines X V and W Y intersect at point Z. Angles W Z X and W Z V are marked, but no measures are given.
Substitution Congruent Supplements Theorem Law of Syllogism Linear Pairs Theorem Angle Addition Postulate Definition of Perpendicular Lines Definition of Linear Pair Vertical Angles Theorem Transitive Property of Equality
Statement Reason
1 ∠WZX ≅ ∠WZV Given
2 ∠WZX and ∠WZV are a linear pair. _
3 m∠WZX + m∠WZV = 180_
4 m∠WZX + m∠WZX = 180_
5 m∠WZX = 90 Subtraction Property of Equality
6 WY ⊥ VX _