Question

The following is an incomplete two-column proof that rectangle ABCD is a parallelogram with congruent diagonals:

Answer 1

What reason completes the proof?

Alternate Interior Angles Theorem

Definition of Congruence

Property of Parallelograms

Same-Side Interior Angles Theorem

Answer 2

@studyislandhelp Math help

Answer 3

@OrangeMaster Math Help

Answer 4

I don't know.

Answer 5

Sorry that I can't help.

Answer 6

@Hero Help

Answer 7

@jigglypuff314 Help

Answer 8

The third one

Answer 9

I think it might be the third one, but I'm not sure...

Answer 10

oh okay

Answer 11

@LukeBlueFive do u know

Answer 12

I think it's the Same-Side Interior Angles Theorem, since BA and CD and parallel lines and AD intersects them.

Answer 13

alright

Answer 14

actually, I think
Definition of Congruence
because it's walking about <BAD = <CDA
which had been said to be both equal to 90 degrees in the first step

Answer 15

*talking about

Answer 16

hmm

Answer 17

It could also be congruence. Those are the two choices.

Answer 18

so it's the 3rd one

Answer 19

No, can't be the third one, since not all parallelograms have right angles.

Answer 20

a parallelogram can have right angles, but
a property of parallelogram (IF it was using that property) would have looked like
<BAD + <CDA = 180

Answer 21

the last one

Answer 22

I already ruled out A and D
because <BAD = <CDA doesn't have to do with diagonals

Answer 23

The problem states that rectangle ABCD is a parallelogram with congruent diagonals.

Answer 24

oh I thought you where talking about the sides on the angles

Answer 25

names*

Answer 26

A doesn't apply, since the angles aren't alternate.

Answer 27

B

Answer 28

yeah

Answer 29

can u help me with one more?

Answer 30

I'll try ^_^

Answer 31

The figure below shows rectangle ABCD:

Answer 32

The two-column proof with missing statement proves that the diagonals of the rectangle bisect each other.