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Lesson 4 Contents Example 1Find the Length of a Side Example 2Determine Parallel Lines Example 3Midsegment of a Triangle Example 4Proportional Segments Example 5Congruent Segments

Example 4-4a In the figure, Larch, Maple, and Nuthatch Streets are all parallel. The figure shows the distances in city blocks that the streets are apart. Find x.

Example 4-4b Notice that the streets form a triangle that is cut by parallel lines. So you can use the Triangle Proportionality Theorem. Triangle Proportionality Theorem Cross products Multiply. Divide each side by 13. Answer: 32

Example 4-4c In the figure, Davis, Broad, and Main Streets are all parallel. The figure shows the distances in city blocks that the streets are apart. Find x. Answer: 5

Example 4-5a Find x and y. To find x: Given Subtract 2x from each side. Add 4 to each side.

Example 4-5b To find y: The segments with lengths are congruent since parallel lines that cut off congruent segments on one transversal cut off congruent segments on every transversal.

Example 4-5c Equal lengths Multiply each side by 3 to eliminate the denominator. Subtract 8y from each side. Divide each side by 7. Answer: x = 6; y = 3

Example 4-5d Find a and b. Answer: a = 11; b = 1.5

End of Lesson 4

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