Perpendicular and Parallel Lines

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Presentation transcript:

Perpendicular and Parallel Lines Chapter 3 Perpendicular and Parallel Lines

Section 3 Parallel Lines and Transversals

GOAL 1: Properties of Parallel Lines In the activity of page 142, you may have discovered the following results.

We will prove Theorems 3.5, 3.6, and 3.7 in Exercises 27-29.

Example 1: Proving the Alternate Interior Angles Theorem Prove the Alternate Interior Angles Theorem.

Example 2: Using Properties of Parallel Lines Given that m<5 = 65°, find each measure. Tell which postulate or theorem you use. m<6 m<7 m<8 m<9

Example 3: Classifying Leaves Botany: Some plants are classified by the arrangement of the veins in their leaves. In the diagram of the leaf, j || k. What is m<1?

GOAL 2: Properties of Special Pairs of Angles Example 4: Using Properties of Parallel Lines Use properties of parallel lines to find the value of x.

Example 5: Estimating Earth’s Circumference

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