Given that ABCD is a parallelogram, prove ZB = LD.
Move the options to the spaces to complete the proof.
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
Angles with the same measure are congruent
Corresponding Angles Theorem
Multiplicative Property of Equality
AB || DC and BC || AD
Subtraction Property of Equality