Question 5 (Multiple Choice Worth points)
(01.07 MC)
Examine the paragraph proof. Which theorem does it offer proof for?
Prove LXVZ ~ LwY
We are given an image of WZ and XY, which intersect at point V. mzXVZ + MZVY = 180 by the Definition of Supplementary Angles: mzZVY mzWY 180° by the Definition of Supplementary Angles. Since the sum of mzXVZ and MzZVY = MZVY and mzWY by the Transitive Property of Equality, mzZVY can be subtracted from both sides of the equation because of the Subtraction Property of Equality. Therefore, MLXVZ M_WVY and LXVZ = LWWVY by the definition of congruent angles.
Alternate Interior Angles Theorem
Corresponding Angles Theorem
Vertical Angles Theorem
Same-Side Interior Angles Theorem