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Homework Answers

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Homework Answers

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**Parallel and Perpendicular lines**

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Select two parallel lines that are at least six spaces from each other and in the center of your paper. Retrace them in pen to make them darker.

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**Draw another line (not perpendicular) that goes through both of your parallel lines.**

This line is called a transversal.

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**Number the angles as shown**

1 2 3 4 5 6 7 8

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Use your protractor to measure the angles formed by the transversal and the parallel lines. Color congruent angles the same color.

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**Fill in the blanks. What do you notice?**

1 ______ 4 ______ 5 ______ 8 ______ 2 ______ 3 ______ 6 ______ 7 ______ What do you notice? 1 4 5 8 2 3 6 7

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**Properties of Transversals to Parallel Lines**

If two parallel lines are intersected by a transversal The acute angles that are formed are all congruent The obtuse angles are all congruent Any acute angle is supplementary to any obtuse angle

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**If the transversal is perpendicular to the parallel lines, all angles formed are congruent to 90o.**

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Relationships Alternate interior angles

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Relationships Alternate exterior angles

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Relationships Corresponding angles

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Open your books to page 230.

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