3.2 Parallel Lines and Transversals …..

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Presentation transcript:

3.2 Parallel Lines and Transversals ….. The Rules BABY!!!!!!

Corresponding Angles Postulate If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent. 1 4 3 2 1  2 & 3  4

Alternate Interior Angles If two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent. 1 2 4 3 1  2 & 3  4

Consecutive Interior Angles If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles are supplementary. 5 6 7 8 m5 + m6 = 180° & m7 + m8 = 180°

Alternate Exterior Angles If two parallel lines are cut by a transversal, then the pairs of alternate exterior angles are congruent. 9 10 11 12 9  10 & 11  12

Perpendicular Transversal If a transversal is  to one of the two parallel lines, then it is  to the other. j h k j  k

EXAMPLES 1 Solve for x 3x 60

EXAMPLES 2 Solve for x 2x + 90 x + 30

EXAMPLES 3 Solve for x 40 x - 3

EXAMPLES 4 Solve for x and y y 106 2x

3.2 Worksheet

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