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**Parallel Lines and Planes**

Parthenon Athens Dallas City Hall I.M. Pei Havasu Falls I.M. Pei Parallel Lines and Planes Lesson 3.2 Classroom Exercises

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**X marks the spot. Vertical angles are congruent.**

Mr. Sabia’s Favorite Theorem Vertical angles are congruent. X marks the spot.

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**Lp’s are suppl. Mr. Sabia’s 2nd Favorite Theorem a b**

Linear pairs are supplementary. Lp’s are suppl. a b

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**Mr. Sabia’s Third Favorite Theorem**

If 2 lines are //, then the Alternate Interior angles are congruent.

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**If two lines are parallel….**

The corresponding angles are congruent. The alternate interior angles are congruent. The alternate exterior angles are congruent. The same-side interior angles are supplementary. The same-side exterior angles are supplementary.

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T K 1 L What do the arrowheads in the diagram tell you? P L // P

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**2 State the postulate or theorem that justifies each statement. T K L**

If 2 lines are parallel and cut by a transversal, Then the corresponding angles are congruent.

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**3 State the postulate or theorem that justifies each statement. T K L**

If 2 lines are parallel and cut by a transversal, Then the alternate interior angles are congruent.

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**4 State the postulate or theorem that justifies each statement. T K L**

If 2 lines are parallel and cut by a transversal, Then the same-side interior angles are supplementary.

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**5 State the postulate or theorem that justifies each statement. T K L**

If 2 lines are parallel and cut by a transversal, Then the corresponding angles are congruent.

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**6 State the postulate or theorem that justifies each statement. T K L**

If 2 lines are parallel and cut by a transversal, Then the alternate interior angles are congruent.

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**7 State the postulate or theorem that justifies each statement. T K L**

Vertical angles are congruent.

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**8 State the postulate or theorem that justifies each statement. T K L**

If a line is perpendicular to on of two parallel lines, then it is perpendicular to the other.

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**9 State the postulate or theorem that justifies each statement. T K L**

If 2 lines are parallel and cut by a transversal, Then the same-side interior angles are supplementary.

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**10 State the postulate or theorem that justifies each statement. T K L**

1300 500 L 500 1300 1300 If the measure of angle 1 is 130, what are the measures of the other angles? 500 P 1300 500

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**11 State the postulate or theorem that justifies each statement. T K L**

x 180-x L 180-x x x If the measure of angle 1 is x, what are the measures of the other angles? 180-x P x 180-x

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**12 x 2x State the postulate or theorem that justifies each statement.**

K L x 2x 60, AIA P x + 2x = 180 3x = 180 x = 60

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**13 State the postulate or theorem that justifies each statement. x T K**

CA L x x + 20 P x + x + 20 = 180 2x + 20 = 180 2x = 160 x = 80

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C’est fini. Good day and good luck.

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3.2 Properties of Parallel Lines Objectives: TSW … Use the properties of parallel lines cut by a transversal to determine angles measures. Use algebra.

3.2 Properties of Parallel Lines Objectives: TSW … Use the properties of parallel lines cut by a transversal to determine angles measures. Use algebra.

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