Question

Prove the diagonals of a parallelogram bisect one another. Be sure to create and name the appropriate geometric figures.

Answer 1

hint: try to prove that

triangle AEB = triangle CED

Answer 2

Ok, can you go through it with me please?

Answer 3

DE=BE And DC=AB?

Answer 4

DE=BE is something we arrive at and we aren't given it

DE=BE is something we want to prove

Answer 5

Ok

Answer 6

But I'm not sure how to prove it..

Answer 7

what kind of angles are these two angles

Answer 8

Parallel?

Answer 9

AB and CD are parallel

Answer 10

parallel angles makes no sense though

Answer 11

So then interior angles

Answer 12

alternate interior angles

Answer 13

because AB and CD are parallel, what can we say about the alternate interior angles ?

Answer 14

We can say that they are congruent

Answer 15

correct

Answer 16

the same can be said for these two angles here