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Parallel and Perpendicular Lines
Chapter 3 Parallel and Perpendicular Lines
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Section 4 Parallel Lines and Transversals
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In the photograph of the tennis court, the angle the sideline makes with the service line is the same as the angle it makes with the base line. The photograph illustrates a postulate about angles and parallel lines.
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Example 1: Find Measures of Corresponding Angles Find the measure of the numbered angle.
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Checkpoint: Find Measures of Corresponding Angles Find the measure of the numbered angle.
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Example 2: Find Measures of Alternate Interior Angles Find the measure of <PQR.
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Checkpoint: Find Measures of Alternate Interior Angles Find the measure of the numbered angle.
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Example 3: Find Measures of Alternate Exterior Angles Find the measures of <1 and <2.
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Checkpoint: Use Angle Relationships Find the measure of the numbered angle.
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Use the diagram below. Tell whether the angles are congruent or not congruent. Explain.
<1 and < <3 and <4 3. <4 and < <2 and <7 5. <3 and < <3 and <8
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Example 4: Find Measures of Same-Side Interior Angles Find the measure of the numbered angle.
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Example 5: Use Algebra with Angle Relationships Find the value of x.
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Checkpoint: Use Algebra with Angle Relationships Find the value of x.
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