Question

WILL GIVE MEDAL!
Prove that opposite angles of a parallelogram are congruent. Be sure to create and name the appropriate geometric figures.

Answer 1

I know kind of how to do this but i need to put it in paragraph form

Answer 2

what do you mean?

Answer 3

nvm

Answer 4

one way would be to prove that the 2 triangles are congruent

Answer 5

ok

Answer 6

so you would just have to bisect it basically?

Answer 7

They are congruent by SSS

Answer 8

So i could just say for example if you bisect a parallelogram its opposite angles are congruent through the SSS postulate?

Answer 9

So the 2 opposite angles <BAD = <BCD

Answer 10

Yes
You can also say that the other 2 opposite angles are equal if you draw the other diagonal.

Answer 11

ok so if we bisect the rhombus either way it will prove that the tringles on the opposite sides of the bisector are equal?

Answer 12

yes - paralellogram not rhombus

Answer 13

welsh can't he just prove it by saying that the angles that are adjacent are complementary which means that each has 90 degree angle and so is the other 2 angles and since A = b and B = C then A = C this could work no?

Answer 14

If they want a 2 column proof you'd better ask someone else . I'm not familiar with those.

Answer 15

no it just asks for a paragraph proof

Answer 16

thank you very much!

Answer 17

@Will.H - yes that would work Ok too
There are a few ways to prove this.

Answer 18

yw

Answer 19

Sweet thank you welsh