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

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

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Mr. Sabia’s 2nd Favorite Theorem Linear pairs are supplementary. Lp’s are suppl. ab

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

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L P 2 State the postulate or theorem that justifies each statement. If 2 lines are parallel and cut by a transversal, Then the corresponding angles are congruent. K T

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L P 3 State the postulate or theorem that justifies each statement. If 2 lines are parallel and cut by a transversal, Then the alternate interior angles are congruent. K T

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L P 4 State the postulate or theorem that justifies each statement. If 2 lines are parallel and cut by a transversal, Then the same-side interior angles are supplementary. K T

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L P 5 State the postulate or theorem that justifies each statement. If 2 lines are parallel and cut by a transversal, Then the corresponding angles are congruent. K T

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L P 6 State the postulate or theorem that justifies each statement. If 2 lines are parallel and cut by a transversal, Then the alternate interior angles are congruent. K T

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L P 7 State the postulate or theorem that justifies each statement. Vertical angles are congruent. K T

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L P 8 State the postulate or theorem that justifies each statement. If a line is perpendicular to on of two parallel lines, then it is perpendicular to the other. K T

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L P 9 State the postulate or theorem that justifies each statement. K T If 2 lines are parallel and cut by a transversal, Then the same-side interior angles are supplementary.

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L P 10 State the postulate or theorem that justifies each statement. K T If the measure of angle 1 is 130, what are the measures of the other angles? 130 0 50 0

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L P 11 State the postulate or theorem that justifies each statement. K T If the measure of angle 1 is x, what are the measures of the other angles? x x x x 180-x

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L P 12 State the postulate or theorem that justifies each statement. K T x 2x x + 2x = 180 3x = 180 x = 60 60, AIA

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L P 13 State the postulate or theorem that justifies each statement. K T x x + 20 x + x + 20 = 180 2x + 20 = 180 x = 80 CA 2x = 160

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C’est fini. Good day and good luck.

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