Question

The following is an incomplete paragraph proving that the opposite sides of parallelogram ABCD are congruent:

Parallelogram ABCD is shown where segment AB is parallel to segment DC and segment BC is parallel to segment AD.

Answer 1

According to the given information, segment AB is parallel to segment DC and segment BC is parallel to segment AD.. Construct diagonal A C with a straightedge. _____________. Angles BAC and DCA are congruent by the Alternate Interior Angles Theorem. Angles BCA and DAC are congruent by the same theorem. Triangles BCA and DAC are congruent according to the Angle-Side-Angle

Answer 2

Which sentence accurately completes the proof?

Angles BAC and DCA are congruent by the Same-Side Interior Angles Theorem.
Diagonal BD is congruent to itself by the Reflexive Property of Equality
Diagonal AC is congruent to itself by the Reflexive Property of Equality.
Angles ABC and CDA are congruent according to a property of parallelograms (opposite angles congruent).

Answer 3

@perl @Kainui

Answer 4

@mathmath333

Answer 5

@ganeshie8

Answer 6

I marked up a diagram of the steps given in the incomplete proof.