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

a. Angles BAD and ADC are congruent.
b. Corresponding angles BCD and CDA are supplementary.
c. Sides CD and DA are congruent.
d. Vertical angles BPA and DPC are congruent.

Answer 2

BP = PD and AP = CP

(That's what we mean when diagonals bisect each other).

So, if BP = PD and AP = CP, then the quadrilateral is a parallelogram.

Answer 3

so which would it be? (sorry im horrible at this)

Answer 4

Once the vertical angles are congruent, the triangles are congruent, and you have a parallelogram. As opposite sides will be congruent because of SAS.

Answer 5

so its A?

Answer 6

No.

When the vertical angles are congruent, you will have the triangles congruent via SAS.

Answer 7

oh okay! thanks

Answer 8

In quadrilateral ABCD, diagonals AC-DC and BFF bisect one another.

What statement is used to prove that quadrilateral ABCD is parallelogram?
1: segment AP is congruent to segment CP.
2:segment BP is congruent to segment AP.
3: sides AB and BC are congruent.
4: triangle BCP and CDP are congruent.


Plz help for a metal.....
Is the same pictures as the one in top!!!