Write a proof to show that a rectangle has congruent diagonals. Be sure to create and name the appropriate geometric figures. This figure does not need to be submitted. Please someone help, I do not understand.
@sleepyjess
the second question is 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. This figure does not need to be submitted.
@ganeshie8, @mathmale and @zepdrix
Hello
Hi can you help me?
Let's try
The bqd news is I'm on my tablet
Thats fine, I just need to get these two questions done soon
Ok
ohh.
@Christos
For us to prove this we trisnle congruency
Triangle
Let's pretend we have a rectangle ABCD WITH diagonals AC AND DB
Sorry I am back
I can't draw so picture the rectangle in ur mi
Mind
I really dont understand this, I just really need your help on what a good answer would be. I have been sat in front of my computer all day, and these are my last two questions. Please :(
OK
Thank you :)
So do you have any answers for the two questions?
We look at triangles ABC and DAC
No I'm truing to help you Im some kind of machine to come up with answers
Just follow my work understand how the answer can be obtained
Ok.
Our goal here is to prove that diagonal BC and Diagonal DA are congruent meaning they of the same length
Alright
OK radar has the drawing tool just let him do this,
I need to get these answers quickly I barely have any time left to turn this in :(
Oh yeah I can scratch this and give you e answer but what is the point in that
Just try to learn
|dw:1453074681982:dw|
I really have no time, I will just leave the questions blank. I am sorry.
Suit your self E proof is really easy to grasp
All you need is SAS postulate
Yeah but I only have 5 minutes to turn this in. If You could just give me direct answers for the two questions, I could easily learn after I submit.
There is only one question? Prove diagonals of rectangles are congruent
Yes, also I asked 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. This figure does not need to be submitted.
Anyways here goes how In rectangle ABCD we know ac is congruent to bd Ab is congruent to CD
Ok.
Is that all?
We also know ABCD have 90 angles Therefore angle ACD is congruent angle Abd Now we have established side angle side Then triangle ACD is congruent to tirangle ABD
If two triangles are congruen, then the corresponding sides are congruent It follows that BC is congruent to AD
Hence wve proven that two diagonals of rectangles are always congruent
I'm using the drawing provided by @radar Thanks to him
The ends the proof
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