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Pearson Geometry Common Core, 2011

PG

Pearson Geometry Common Core, 2011 View details

Chapter Review

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Exercise 25 Page 482

Write a proportion using the Corollary of Side-Splitter Theorem.

22.5

Practice makes perfect

Let's analyze the given figure.

Since we are given three parallel lines that intersect two transversals, we can use the Corollary to the Side-Splitter Theorem.

The lengths of the segments intercepted on the transversals are proportional. Let's write a proportion using the expressions for the lengths of the segments. x/9=20/8 Let's solve it using the Cross Product Property.

x/9=20/8

Cross multiply

8 * x=20 * 9

▼

Solve for x

Multiply

8x=180

.LHS /8.=.RHS /8.

x=180/8

Calculate quotient

x=22.5