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Pearson Geometry Common Core, 2011

PG

Pearson Geometry Common Core, 2011 View details

Chapter Review

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Exercise 24 Page 482

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

3.6

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. 3/5=x/6 Let's solve it using the Cross Product Property.

3/5=x/6

Cross multiply

3 * 6=5 * x

▼

Solve for x

Multiply

18=5x

Rearrange equation

5x=18

.LHS /5.=.RHS /5.

x=18/5

Calculate quotient

x=3.6