A two-column proof to prove that line WY is perpendicular to line VX should be completed as follows;
Statements Reasons________
1. ∠WZX ≅ ∠WZV Given
2. ∠WZX and ∠WZV are a linear pair Definition of a Linear pair
3. m∠WZX + m∠WZV = 180° Linear Pairs Theorem
4. m∠WZX + m∠WZX = 180° Substitution
5. m∠WZX = 90° Subtraction Property of Equality
6. WY ⊥ VX Definition of Perpendicular Lines
In Mathematics, the linear pairs theorem states that the measure of two angles would add up to 180° provided that they both intersect at a point or form a linear pair.
By applying the linear pair theorem to the figure, we can logically deduce the following supplementary angles since line WY and line VX intersect:
m∠WZX + m∠WZV = 180°
A perpendicular bisector is a segment, or ray that bisects a line segment exactly into two equal halves and forms an angle that has a magnitude of 90 degrees at the point of intersection;
WY ⊥ VX
Complete Question:
The proof refers to the figure shown here. Drag the word choices below to supply the missing statement and reason in the proof.