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Mathematics 25 Online
OpenStudy (anonymous):

Given: D is the midpoint of AC, BDABDC∠≅∠. Prove ΔABD ≅ΔCBD i need some help puting this into a two column proof.

OpenStudy (anonymous):

@Mertsj

OpenStudy (mertsj):

We need a picture.

OpenStudy (anonymous):

jimthompson5910 (jim_thompson5910):

It probably looks like this |dw:1391480013727:dw|

OpenStudy (anonymous):

your absolutly right, i posted the wrong picture :( sorry

jimthompson5910 (jim_thompson5910):

that's ok

jimthompson5910 (jim_thompson5910):

So we know the following * AD = DC (Since D is the midpoint of AC, so AC is split up into two equal halves) * angle BDA = angle BDC (given) * BD = BD (reflexive property)

jimthompson5910 (jim_thompson5910):

|dw:1391480191935:dw|

jimthompson5910 (jim_thompson5910):

So we can use the SAS property of congruence to prove that triangle ADB = triangle CDB

OpenStudy (anonymous):

That makes since :)

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