Examine the paragraph proof. Which theorem does it offer proof for?
lines WZ and XY inte...
Examine the paragraph proof. Which theorem does it offer proof for?
lines WZ and XY intersect at point V
Prove: ∠XVZ ≅ ∠WVY
We are given an image of line WZ and line XY, which intersect at point V. m∠XVZ + m∠ZVY = 180° by the Definition of Supplementary Angles. m∠ZVY + m∠WVY = 180° by the Definition of Supplementary Angles. Since the sum of m∠XVZ + m∠ZVY = m∠ZVY + m∠WVY by the Transitive Property of Equality, m∠ZVY can be subtracted from both sides of the equation because of the Subtraction Property of Equality. Therefore, m∠XVZ = m∠WVY and ∠XVZ ≅ ∠WVY by the definition of congruent angles.
Alternate Interior Angles Theorem
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