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Video Notes 9.7 (Geometry)

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hello everybody this is Miss Auntie Nana and these are your video notes for section 9 similar transformation I apologize for my voice but I'm very sick right now anyways let's get started so I have a question I want you guys to be able to answer how do you recognize congruence and similarity in figures very important to be able to this thing the difference that's good two dancer so sad links have to be proportional and angle measurements to be the same side lengths proportional which has to do with similarity remember from the last chapter in the angle measurements have to be the same which also has to do with similarity just like the last chapter I want to point out something important whenever you're looking at a problem you're off and not going to be told what the image and the image is just by simply looking at the notation you can tell who the preimage is in this case the pre what is triangle ABC notice that there's no Prime write the image is a prime B Prime C Prime so look for that notation skin in largement or reduction of the preimage is this we're getting bigger honestly it's an enlargement but often you won't have structions to tell you that you just have to read the notation to figure that out okay  let's do something you going to beat some graph paper for this  so here's your first example here so start by graphing the phone triangle LMN right here what I want you to do is transform using this set of instructions will turn into a prime and Prime prime prime  you do a translation first followed by a dilation scale factor 0.5 remember you take the don't Factor multiplied times each  coordinates and that'll get you the new coordinate let's see what it looks like you get something that looks like this here's the original translated it in pencil you can see it here  and then the scale factor is less than 1 so it's a reduction that's why though strangling right is the final and here are the coordinates are a problem  music alright so I have a quadrilateral ABCD that's apply these instructions when I end up with quadrilateral M and P Q your first job is to reflect about the y axis and I'll time it by scale factor of 0.5 remember what you do is you multiply need to coordinate  by the scale factor but see what you got did you get something like this  m n p q here are the coordinates can't read that that's a negative one right here you know that I want you to take notice the following examples a composition of Transformations that include dilation of course you saw tribe dilation hear that Elation there remember that dilation is not an isometry very important why not think about it okay  think about that we talked about it last time in the last two notes where they have to preserve angle measurement and shape but the side lengths are going to be proportional that you can tell satellites are proportional see you guys soon

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Video Notes 9.7 (Geometry)

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