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3.5 Properties of Parallel Lines

Geometry Quiz 3.4

2. If two lines intersect to form a pair of

adjacent congruent

angles, the lines are

_______________.

(No Transcript)

3.5 Properties of Parallel Lines

Corresponding Angles Postulate

2

1

If two parallel lines are cut by a transversal,

then the pairs of corresponding angles are

congruent.

Corresponding Angles Postulate

2

1

If two parallel lines are cut by a transversal,

then the pairs of corresponding angles are

congruent.

Alternate Interior Angles Theorem

2

1

If two parallel lines are cut by a transversal,

then the pairs of alternate interior angles are

congruent.

Consecutive Interior Angles Theorem

2

1

If two parallel lines are cut by a transversal,

then the pairs of consecutive interior angles are

supplementary.

3.5 Properties of Parallel Lines

Alternate Exterior Angles Theorem

2

1

If two parallel lines are cut by a transversal,

then the pairs of alternate exterior angles are

congruent.

Perpendicular Transversal Theorem

If a transversal is perpendicular to one of two

parallel lines, then it is perpendicular to the

second.

3.5 Properties of Parallel Lines

QED