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Video Tutorial for Problems #4 & 5 from your Handout: Practice Proofs for CH2

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all right everybody how are you this is your teacher Miss from Tiana and this video tutorial as the title reads here is designed to help you with problems number for and Define from the handouts practice proofs for chapter to your substitute should have covered problems 1 2 and 3 with you before the simple ones to line Troost these at the mall complex proofs with that said which evil attached glue tape in Tunica or you are writing these down into your notebook from scratch so that you have a copy of these and you're practicing peace so with that said let's start alright here's the first problem the phone number for they're telling us that this thing go right here ABC right is supposed to be 20° this and go right here CB angry 10° together they are 30 is the same measurement as a baby paint but he wants to show that 8bp that's bigger one here is congruent to this one down here pqr all right here we go the one key element here that you need to be aware of his ankle Haitian postulate I got to add both of these angles together I once said we do this I'm going to start with the given there's my first line measure of ABC News 20pqr 30k so I got my measurements and here we always start with angle addition postulate this thing go right here maybe see the CBD people to big one ABD that's already been set I went straight to my equality you could have gone to congruence and then transferred you can go straight to equality so that's the equation in my number to set up let's go ahead and set them to the values in their the key here is to leave of angle ABC equal to 20 + most kids would write 20 + 10 equals 30 leave it as a v d equals 20 + 10 little bit of math simplify so now the statement equals 30 year you would have accidentally got rid of the fact that measure of ABD equals 30 you want that statement or that claim in your proof because now with line 5 now you can substitute the fact that ABD is equal to 30 + p q r from line number one given that they're both equal to 30 and so therefore they are equal to each other Air Force is subtraction or transitive property of equality that is key once again my number three this is where I'm coming in as your teacher trying to teach you a new technique leave a baby alone don't make it dirty yet you want to leave it by Queen on once they are both equal to each other go ahead and state that they are congruent by definition of congruence Minnesota highlighted a key step. and of course I'm highlighting here this postulate this is the key Concept in this proof all right let's go to the next one phone number five all right we have that 2 is congruent to 3 so the tuna you want to show that the ones on the outside one and four are equal to each other you should be recognizing the fact that one are vertical angles you should be recognized angles 3 and 4 are congruent to each other because they are vertical angles all right here we go you got to start with your given to is congruent to three okay now I can say that two congruent one cuz vertical angles I just had a moment but that means so I have to convert 3 and 2 is also from going to want that means that one and three are congruent to each other that's transitive property or substitution of the matter how you think about it alright but now I recognize the three and four vertical angles of course you can see that they're across from each other their vertical angles so that means that 3 is congruent to 1 3 is congruent to four things that one is going to be congruent to or you can use it too thin or transitive property of equality in that conclusion okay I will help you solve from 6 7 8 and 9 puzzle and more complex Advanced proofs that we will do that together in class when I see you bye-bye everybody

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Video Tutorial for Problems #4 & 5 from your Handout: Practice Proofs for CH2

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