Question

Write a proof to show that the diagonals of a parallelogram bisect one another. Be sure to create and name the appropriate geometric figures. This figure does not need to be submitted.

Answer 1

i kinda dont understand what im suppost to do

Answer 2

you have to write down some evidence on what you think is the diagonals of a parallelogram bisect one another and create one and name it

Answer 3

Ok so i made a thingy so does that mean something like this

Answer 4

So like segment A intersects C and segment B intersects D

Answer 5

yea

Answer 6

ohh ok thank you againnn

Answer 7

oh and i got that last question right thanks to you

Answer 8

its an indirect proof, so 3 steps :-
1) you start wid the opposite of wat u need to prove
2) arrive at a contradiction
3) conclude

Answer 9

since you want to prove 'diagonals of a parallelogram bisect each other',
you start with the opposite of above statement, like below :-

step1 :
Since we want to prove 'diagonals of a parallelogram bisect each other', lets start by assuming the opposite, that the diagonals of parallelogram dont bisect each other.

Answer 10

ok

Answer 11

Since, we assumed that the diagonals dont bisect each other,

OC≠OA
OD≠OB

Since, OC≠OA, △OAD is not congruent to △OCB

Answer 12

hope this helps

Answer 13

it is thank you thanks for actually explaining it too

Answer 14

np