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Determine whether each pair of triangles is congruent. If they are, tell why. See Examples 2 and 3 .(FIGURE CANNOT COPY)

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Chapter 9

An Introduction to Geometry

Section 5

Congruent Triangles and Similar Triangles

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Determine whether each pai…

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Determine whether the two …

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Determine whether the tria…

to determine if they are congruent or not. We need to notice a couple of things. So this side length is parallel to this side length. Therefore, we would call this a trans versatile And this a trans Verceles that cuts through two parallel lines. Okay. And because that is true, what happens is we have two angles here that are vertical angles. They're equal and opposite their equal to each other. And, um, I also know that this angle, because of the trans versa, will this angle is opposite of this one here. Those two are congruent and then the same thing over here. Because of the trans versatile, these two are congruent. So now you can see I've got three angles that are all congruent. So this just proves that they're similar. But because of this side length of six that corresponds to this side length of six. I am given angle side angle Guys, I've got a side between two angles and I see the same thing over here. This angle side angle, those same three. So these correspond there congruent came relatively in the same position. These two triangles are congruent

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