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Mrs. Monica Cagle
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Unit 2 Journal Proof
Added Oct 19, 2020
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okay so a lot of people struggled with the proof on the journal assignment so I decided to go ahead and post a video of how to do that proof I feel remember for me and that one you can use definitions you can use postulates axioms theorems as your proofs or as your reason in a proof what to do to prove I went ahead and if you attempted your whole proof I did give you full credit but this way you'll have an example before you have to take your unit 2 test on Thursday okay so this is what we're giving and it says AC is parallel to DS okay so the first thing I would do AC is parallel to DF I'm all right there's little marks the little arrows that they are parallel so those are perilous e is the midpoint of DF is the midpoint of DF I'm going to locate a point a is the midpoint of the if he is the midpoint of DF that means that de it's the same link that has CAF so I'mma put little tick mark to indicate that those are the same length B is the midpoint of AC is the midpoint of AC so B is the midpoint of AC that means it this piece is congruent to this piece now went ahead and put to pick Marks here because I already have one tick mark that indicates GNC some put two tick marks indicate that a b is congruent congruent to be okay so I also have EB EB is perpendicular perpendicular to AC EB is perpendicular to AC will they had already drawn that the figure they've got a little square down here perpendicular mean 90 degrees okay so now I'm going to get started on I need the proof I need to prove that triangle bed triangle bed this part is congruent to Triangle b e l v e s Gibbons we've got our two columns we've got statements and reasons now on your toe some of these will be spray filled out some of them will not and you'll just have to fill in the ones that are not given Ka so he's got parallel to daf we have a is the midpoint daf we have be in the midpoint are you safe and we have EB he has perpendicular to a C2 I'm going to list that was information that was given to us the very beginning now anytime and ask you to prove something this is going to be your last stay up on your proof zodiac I know it's going to be down here somewhere in the statements reason okay so we need to look in our figure are we need to look at what we were giving to determine power friends that Becky G is congruent to bes okay so I've already gone over here and I've marked in my figure would you really need a mark on your figure we have AC is parallel today at so I know if AC is parallel to DF and this down here is perpendicular okay if these are right angles these would also have to be right angles because Kare 11 the air and EB is perpendicular to AC so that's going to be 90° as well we'll get to that in just a minute let's go ahead and do is the midpoint of the Apes is the midpoint of DF so that statement lets us know that de is congruent to ASCII they is congruent the same length as and the race is daddy is is because it is because he is the midpoint to our racing is going to definition definition of midpoint now I'm going to go over here and where I put these will take Mark I'm a Mark that with a s that means I sad already well looking at the picture I know that be is congruent to its own self right I want to include that cuz it's a very easy right side side side will be easy if I could do that so let's go ahead and I'm going to pull it 3 tick marks on the E cuz I've already used one for this I've already used to for this so I'm going to use 3/4 b e and what I'm going to say cuz I'm going to say bae is congruent to b e v a reflexive property reflexive property that it's a fool cuz it's the same thing okay so I've got a sad here I've got a side here because I've got sad sad anyway I can get this side right here I'm looking for this track bed the little one here and AF eBay this little one here I don't have this Thursday so I can't do side side side but I do know that days are parallel I know that this is perpendicular so I'm going to use this perpendicular here if anybody is perpendicular to AC we already know that these are 90° so 90° right so we're going to go eBay angle d e b and perpendicular triangle Aunt Edie and the reason is well that's the definition of perpendicular what kind it is perpendicular here it's perpendicular here okay so we know that major of angle d e v e n t threw it to the measure of angle e d and perpendicular their 90 if they're 90 their congruent and I should put def in so now I've got side I've got an angle right there in between remember for sat angle side to angle has to be in between we've got to stop set aside a saas so now I know by SAS triangle bed is congruent to Triangle ant by side angle side congruence skillet I would go over some more proof on Khan Academy or bring did you want me to go over because there is one screw on your teacher graded test
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Monica Cagle
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