Parallel Lines and Planes

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Presentation transcript:

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

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

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

Mr. Sabia’s Third Favorite Theorem If 2 lines are //, then the Alternate Interior angles are congruent.

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.

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

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.

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.

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.

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.

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.

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

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.

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.

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

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

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

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

C’est fini. Good day and good luck.

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