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Glencoe Math: Course 3, Volume 2

GM

Glencoe Math: Course 3, Volume 2 View details

7. Area and Perimeter of Similar Figures

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Exercise 1 Page 572

If two figures are similar by a scale factor, then the perimeter of one figure is equal to the perimeter of the other figure multiplied by the scale factor.

24cm

Practice makes perfect

We are given a pair of similar hexagons, the lengths of two of their corresponding sides, and the perimeter of one of the hexagons.

similar triangles

First, let's assign labels to the vertices.

similar triangles

Since hexagon ABCDEF and hexagon GHIJKL are similar, the perimeter of hexagon GHIJKL is equal to the perimeter of hexagon ABCDEF multiplied by the scale factor. Therefore, to find the unknown perimeter we first need to find the scale factor. The scale factor is the quotient of the two corresponding side lengths. Scale Factor [0.5em] LG/FA substitute ⟶ 4/3 Finally, the perimeter of hexagon ABCDEF is equal to 18 times 43.

P_(ABCDEF)= 18 ( 4/3)

MoveLeftFacToNum

a*b/c= a* b/c

P_(ABCDEF)=72/3

Calculate quotient

P_(ABCDEF)=24

The perimeter of the hexagon ABCDEF is 24 centimeters.

Subchapter links

Guided Practice p.572

Independent Practice p.573-574

H.O.T. Problems p.574

Standardized Test Practice p.574-576

Extra Practice p.575

Common Core Review p.576