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2.7.4 Practice Modeling Similarity Theorems

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Nova Southeastern Academy

Nicole T.

Algebra

5 months, 3 weeks ago

Has anyone done the 2.vii.four Practice: Modeling : Similarity Theorems for A PEX

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Are the triangles like? If and then, what postulate or theorem proves their similarity?

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Video Transcript

so to to answer this question just by looking nosotros can jump to the conclusion that this is gonna be side side side. Um Only you don't always want to do that because we have to check if this there were similar triangles. And at present that we check that nosotros only check the proportion. Let's ready the proportion so you can run into this segment corresponds to this segment and this segment corresponds to this and this one corresponds to this one. So now let's fix our proportion. So allow'southward set upward the blue segments to the crimson segments three or 4 equals on the large one. The blueish is 4.5 to the cherry segments over 6. And all we take to do now is to cross multiply to see if we gonna exist getting the same answer. So permit's cheque permit'south cross multiply. Then 6 times iii That's gonna exist 18. six times iii, 18. Let'southward cheque it. 400 times four times four.v. That would give u.s. also what, xviii? So four times iv.5 also gives the states a tensile. It's good for this. That's just for the for checking sake. Let'southward check the green to the blueish. Okay so let's see six. The dark-green To the blue segment three of us. 6/iii. The green to the blue ix over 4.five. And then again cross multiply cantankerous multiply you're going to see the proper ratio is gonna be, it's gonna be equal to each other. Let's check it ix times 3 gives us 27 and it doesn't affair which one you do first And six times 4.five gives us also what? 27. And then it's work. Then it's gonna be what side side side? And then information technology's side, side, side, side, side side, okay side side side.

2.7.4 Practice Modeling Similarity Theorems,

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