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Glencoe Math: Course 3, Volume 2

GM

Glencoe Math: Course 3, Volume 2 View details

6. Slope and Similar Triangles

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Exercise 1 Page 564

The triangles are similar, so the ratio of rise over run is the same for both of them.

Graph:

Proportion: AG/CG=BF/CF
Numeric Value: 6/2=3/1

Practice makes perfect

We are told that △ ACG and △ BCF are similar triangles. Let's start by graphing △ ACG with vertices A(1,4), C(3,-2), and G(1,-2), and △ BCF with vertices B(2,1), C(3,-2), and F(2,-2).

triangles

We will now write a proportion relating the rise over run of these slope triangles.

triangles

Next, we will find the numeric value of the ratios by counting the number of units for the rise and the run in each triangle.

slope triangle measures

Finally, we can substitute these values into the ratios to find the numeric value. c|c Proportions & Numeric Value [0.5em] AG/CG = BF/CF & 6/2 = 3/1

Subchapter links

Guided Practice p.564

Independent Practice p.565-566

H.O.T. Problems p.566

Standardized Test Practice p.566-568

Extra Practice p.567

Common Core Review p.568