Question

In quadrilateral ABCD, diagonals AC and BD bisect one another:

What statement is used to prove that quadrilateral ABCD is a parallelogram?

Angles BAD and ADC are congruent.

Corresponding angles BCD and CDA are supplementary.

Sides CD and DA are congruent.

Vertical angles BPA and DPC are congruent.

Answer 1

@beccaboo333

Answer 2

@kewlgeek555

Answer 3

Hey @kenzieloo ! Unfortunately, I have not learned of geometry, yet. I actually have that next year. (>v<) I am better with equations anyways. ;)

@mathmale and @ganeshie8 are good mathematicians of OpenStudy. @tHe_FiZiCx99 is also a good mathematician, but I don't think he has done geometry either. Sorry I couldn't fully help you. (v-v)

Answer 4

(also beccaboo33 is not really a "mathematician", she is more of a Biology and History helper. ;)

Answer 5

Good luck, have fun, keep learning, and get A's!

~Ezra (kewlgeek555)

Answer 6

Well thanks lol

Answer 7

A pleasure, and again, sorry I couldn't fully help you and good luck. ;)

Answer 8

@ganeshie8 I feel bad for asking you again but do you think you can help

Answer 9

Corresponding angles BCD and CDA are supplementary.
is the answer

Answer 10

@Jack1 why did u gave me a medal???????????

Answer 11

perfect @ChiefArnav

@kenzieloo : definition and answer can be found here:
http://en.wikipedia.org/wiki/Parallelogram

A simple (non self-intersecting) quadrilateral is a parallelogram if and only if any one of the following statements is true:

Two pairs of opposite sides are equal in length.
Two pairs of opposite angles are equal in measure.
The diagonals bisect each other.
One pair of opposite sides are parallel and equal in length.
Adjacent angles are supplementary.
Each diagonal divides the quadrilateral into two congruent triangles.
The sum of the squares of the sides equals the sum of the squares of the diagonals. (This is the parallelogram law.)
It has rotational symmetry of order 2.

Answer 12

coz u got it right dude

Answer 13

I know people say my geomatry is good

Answer 14

ppl r right ;)

Answer 15

Thanks

Answer 16

Correction! It's ***Corresponding angles BCD and CDA are supplementary.***
I just took the test and this was the correct answer.