Question

A kite is a quadrilateral with two pairs of adjacent, congruent sides. Prove the two angles between the non-congruent sides are congruent. Be sure to create and name the appropriate geometric figures.

Answer 1

@ganeshie8 @sourwing please help, its my final question

Answer 2

@superhelp101 @Angelus

Answer 3

@charlotte123 @TheSmartOne

Answer 4

How about a graphic?
And I guess the question is prove angle B = angle C.

Answer 5

It doesn't come with a picture /: and i don't really understand what its asking, it can be like you said to prove angle B= angle C

Answer 6

Yes I'd say that's the problem:
prove angle B = angle C
and I guess we know that the sides "a" and sides "b" are equal

Answer 7

ok thank you, and how can i prove that?

Answer 8

Yes, that's what I'm looking at right now

Answer 9

Triangle ABC is isosceles (side AB = AC)
Therefore angle ABC = angle ACB

Triangle DBC is isosceles (side BD = side CD)
Therefore angle DBO = angle DCO

angle ABC + angle DBC = angle B

angle ACB + angle DCB = angle C

Therefore, angle B = angle C

Answer 10

OMG you are a lifesaver!! thank you so much. and the best part is i understand it completely. thank you.

Answer 11

do you mind helping me with another question?

Answer 12

shucks - u r welcome :-)
and I'll help you with another question

Answer 13

Write an indirect proof to show that a rectangle has congruent diagonals. Be sure to create and name the appropriate geometric figures.

Answer 14

What is an indirect proof?

Answer 15

its when you Assume the opposite of the conclusion (or prove statement).then Reason logically to show the assumption leads to a contradiction of a known fact.
Conclude the assumption is false, which in turn proves the conclusion is true.

Answer 16

We know AB = CD
and AC = BD
we have to prove the diagonals are equal.

Answer 17

That indirect proof is weird !!!

Answer 18

Ughh, tell me about it :(

Answer 19

if we assume the opposite then it would say "A rectangle does not have congruent diagonals"
its the second step that has me stumped

Answer 20

I am seeing what wikipedia says about an indirect proof:
http://en.wikipedia.org/wiki/Proof_by_contradiction

Answer 21

wow that is too weird for me.
Sorry, I think I'll have to quit this problem.

Answer 22

Ohh okay, thanks for you help anyway!

Answer 23

okay - wish I could have solved that for you.