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Mathematics 20 Online
OpenStudy (anonymous):

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.

OpenStudy (anonymous):

@sleepyjess

OpenStudy (anonymous):

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.

OpenStudy (anonymous):

@ganeshie8, @mathmale and @zepdrix

OpenStudy (xapproachesinfinity):

Hello

OpenStudy (anonymous):

Hi can you help me?

OpenStudy (xapproachesinfinity):

Let's try

OpenStudy (xapproachesinfinity):

The bqd news is I'm on my tablet

OpenStudy (anonymous):

Thats fine, I just need to get these two questions done soon

OpenStudy (anonymous):

Ok

OpenStudy (anonymous):

ohh.

OpenStudy (anonymous):

@Christos

OpenStudy (xapproachesinfinity):

For us to prove this we trisnle congruency

OpenStudy (xapproachesinfinity):

Triangle

OpenStudy (xapproachesinfinity):

Let's pretend we have a rectangle ABCD WITH diagonals AC AND DB

OpenStudy (anonymous):

Sorry I am back

OpenStudy (xapproachesinfinity):

I can't draw so picture the rectangle in ur mi

OpenStudy (xapproachesinfinity):

Mind

OpenStudy (anonymous):

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 :(

OpenStudy (xapproachesinfinity):

OK

OpenStudy (anonymous):

Thank you :)

OpenStudy (anonymous):

So do you have any answers for the two questions?

OpenStudy (xapproachesinfinity):

We look at triangles ABC and DAC

OpenStudy (xapproachesinfinity):

No I'm truing to help you Im some kind of machine to come up with answers

OpenStudy (xapproachesinfinity):

Just follow my work understand how the answer can be obtained

OpenStudy (anonymous):

Ok.

OpenStudy (xapproachesinfinity):

Our goal here is to prove that diagonal BC and Diagonal DA are congruent meaning they of the same length

OpenStudy (anonymous):

Alright

OpenStudy (xapproachesinfinity):

OK radar has the drawing tool just let him do this,

OpenStudy (anonymous):

I need to get these answers quickly I barely have any time left to turn this in :(

OpenStudy (xapproachesinfinity):

Oh yeah I can scratch this and give you e answer but what is the point in that

OpenStudy (xapproachesinfinity):

Just try to learn

OpenStudy (radar):

|dw:1453074681982:dw|

OpenStudy (anonymous):

I really have no time, I will just leave the questions blank. I am sorry.

OpenStudy (xapproachesinfinity):

Suit your self E proof is really easy to grasp

OpenStudy (xapproachesinfinity):

All you need is SAS postulate

OpenStudy (anonymous):

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.

OpenStudy (xapproachesinfinity):

There is only one question? Prove diagonals of rectangles are congruent

OpenStudy (anonymous):

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.

OpenStudy (xapproachesinfinity):

Anyways here goes how In rectangle ABCD we know ac is congruent to bd Ab is congruent to CD

OpenStudy (anonymous):

Ok.

OpenStudy (anonymous):

Is that all?

OpenStudy (xapproachesinfinity):

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

OpenStudy (xapproachesinfinity):

If two triangles are congruen, then the corresponding sides are congruent It follows that BC is congruent to AD

OpenStudy (xapproachesinfinity):

Hence wve proven that two diagonals of rectangles are always congruent

OpenStudy (xapproachesinfinity):

I'm using the drawing provided by @radar Thanks to him

OpenStudy (xapproachesinfinity):

The ends the proof

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