Question

In quadrilateral ABCD, diagonals AC and BD bisect one another:
What statement is used to prove that quadrilateral ABCD is a parallelogram?

Answer 1

Segment AP is congruent to segment CP.

Segment BP is congruent to segment AP

Sides AB and BC are congruent.

Triangles BCP and CDP are congruent.

Answer 2

@iPwnBunnies

Answer 3

I think its D but I got that one wrong.

Answer 4

Since these line segments bisect each other, Segments AP and CP have to be congruent.

Answer 5

So its A?

Answer 6

Yeah.

Answer 7

Thank you so much. Can you me with one more?

Answer 8

I'll try

Answer 9

The following is an incomplete paragraph proving that the opposite sides of parallelogram ABCD are congruent:
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. It is congruent to itself by the Reflexive Property of Equality. Angles BAC and DCA are congruent by the Alternate Interior Angles Theorem. Angles BCA and DAC are congruent by the same theorem. __________. By CPCTC, opposite sides AB and CD, as well as sides BC and DA, are congruent.

Answer 10

Which sentence accurately completes the proof?

Triangles BCA and DAC are congruent according to the Angle-Angle-Side (AAS) Theorem.

Triangles BCA and DAC are congruent according to the Angle-Side-Angle (ASA) Theorem.

Angles ABC and CDA are congruent according to a property of parallelograms (opposite angles congruent).

Angles BAD and ADC, as well as angles DCB and CBA, are supplementary by the Same-Side Interior Angles Theorem.

Answer 11

I think its D

Answer 12

I think it's D, too. But not too sure. I forget geometry proof stuff. .-. They seem to be supplementary though.