В. The figure shows parallelogram ABCD with diagonal AC.
D
Complete the two column proof to prove that opposite angles ZABC and ZCDA are congruent.
Reasons
Statements
Quadrilateral ABCD is a parallelogram,
Glven
Opposite sides of a parallelogram are congruent
AB || CD
Alternate Interior angles are congruent
AC AC
Reflexive Property
A BACA DCA
Corresponding parts of congruent triangles are congruent
ZBCA DAC
ZBACZDCA
LABCLCDA
ABCD
BC DA
SAS
SSS
AAS
Definition of a parallelogram
Definition of a quadrilateral