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4.4B Congruent Transformations Video 2

Added Nov 12, 2015 •

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okay we are on page 23 of your notes if you need to posit here go ahead and do so page 23 and where I'm going to over example 3 because we stopped at different places for different classes so for part a name any segments congruent to each segment so we started with GH is congruent to high double prime prime and it's also congruent to G Prime h b is congruent to H Prime B & G A is huge Prime orders in a different way it's okay it's the still the same answer your good as long as you have all those pieces does AC equal BD the answer is yes because K&M are parallel and then lines h2h double Prime and G2G double prime or both perpendicular to K&M as well and making them the same distance I'm so this last problem in first. We kind of stopped because I felt like they didn't give us enough information and there was a typo so there is supposed to be a double Prime right here so it's supposed to be too little apostrophes not just the one so what is the length of a g double Prime and so they tell us right here that HB equals 9 and DH equals 4 HP is right here 9  and deed double primate this is for well then that means that this is for turn this is 9 so if you were to add up all the whole thing  9 + 9 + 4 + 4 can you get 26 not 126 just 26 and because these are going to be the same length because they're both perpendicular in the same distance that means that so  GG double Prime is also equal to 26 the whole lines are equal to each other so that's how we get GG double Prime  alright moving on I want you guys to go ahead and try and answer these questions for me to take a second work with don't spend more than a couple minutes on it  okay hopefully you guys have take second to talk with your partner and trying to answer some of these questions it says use the figure the distance between line K & M is 1.6 cm the distance from here to here I don't like that let's try that again  distance from here to here  is 1.6 centimeter song The Primo's reflected in line k then in line M describe a single transformation that Maps the blue go to the green figure so we want to take this one over here and move it all the way over here  it just looks like if I ignore the middle it just looks like I pushed the blue one all the way over to the green line and when you push or slide something what is that called hopefully you guys said a translation so it would be a translation and that's all we need to that's all we need to put a translation cuz that's the slide from blue to the green  number 5 what is the relationship between p and p Prime and line K the segment PDP Prime so I'm going to go ahead and draw in this segment right here P2P Prime  and I want to know what is the relation skip between this segment right here that I just drew in and line K well if you look at it and we talked about it yesterday but if you look at it this should be 90°  and that's what you would say  line K is perpendicular two segments p p Prime  and then what is the distance between p and you double Prime so I'm going to just continue that blue dotted line that I just drew what is the distance from here  Tahir will yesterday talked about a formula that said that this whole distance from here  Tahir is 2 * the middle number so it's going to be 2 x 1.6 2 * 1.632 centimeters you have any questions go ahead and talk about it with your partner see if you guys can answer if not put a question mark by it and I will ask you guys on Monday if you guys had questions you guys can ask me art moving on to the next light or positive you need me to wait a minute the composition of two reflections of intersecting lines result in a rotation so pretty much all that saying Viber flights AV right here overline k2a chewy three prime and then I reflect it again to a double Prime be double prime it was the same as if I just rotated a b all the way around over here to this side so it's the same as rotating it all the way around  single verse what is 2 X so if I were to move a bee all the way around to a pretty double Prime be double Prime it's the same as two times whatever the angle that they intersect at  so again this whole thing is to X which is what it says right here next represents the distance in the angle from here to hear that little angle right there where they intersect okay we're going to do a problem and then hopefully you guys can understand from there  in the diagram of a figure reflected in line K the images then with did onto Line M describe a single transformation that map's F to F double Prime so we want to go from here play around to hear what I just explain to that if we reflected twice over intersecting lines is the same as a rotation we need to talk about rotation how many degrees will they give you an angle measure right here of 70 going to do 70 times 2  which is 140 degrees so it's a rotation of 140 degrees  yay Tim I hope you been paying attention this whole time play not talking to Franklin Guadalupe keeping them in check sorry for periods first and sixth you know. To keep. 5 in line and last but not least we're going to go ahead and go through these ones as well in the day turn the preimage is reflected in line k then in line M describe a single transformation that Maps the blue figure onto the green figure take a minute you and your partner see if you can come up with the answer on your own we're going from the blue all the way around to the green so come up with an answer you and your partner hopefully you guys said a rotation and this is 80 * 2 which is 160 degrees rotation of 100 60 degrees some a rotation of 76 degrees C2C Prime 2 map C2C prime using to reflection what is the measure of an angle for by the intersecting lines of reflection so what they want you to do is all you're going to do is now instead of using we're going to do this we need to figure out what to or flexion so that means I'm going to divide  76 by 2 and you get 38 degrees is the measure of the angle formed by the in acting lines  and that is it for your lesson you guys have the rest of the class. To work on homework and I will do you guys on Monday have a fantastic Friday and a wonderful weekend

Uploaded by Lauren Stouffer.

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4.4B Congruent Transformations Video 2

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