Given that ABCD is a parallelogram, prove ZB = LD.

Question

Test Player
Pioneering African Americ X
= Untitled document - Gc
Move the options to the spaces to complete the proof.
Alternate Interior Angles Theoghm
Substitution
Statements
Reasons
ABCD is a parallelogram
Given
AB = DC and BC = AD
Definition of a parallelogram
mLA + mLB = 180° and mLA + m<D = 180°
Same Side Interior Angles Theorem
mLA + mLB = mLA + m<D

mLB = mLD

LBE LD
Angles with the same measure are congruent
Corresponding Angles Theorem
Multiplicative Property of Equality
AB || DC and BC || AD
Subtraction Property of Equality

Answer 1

mLB = mLD
Corresponding Angles Theorem

Therefore, ZB = LD.