Postulates and theorems

By Kade Thomas is

Theorem 3.1

Alternate interior angle

If two parallel lines are cut by a transversal the pairs of alternate interior angles are congruent.

Postulate 15

Corresponding angles

If two parallel lines are cut in half by a transversal then the pairs of corresponding angles are congruent.

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Theorem 3.5

Alternate exterior converse

If two lines are cut by a transversal so the alternate exterior angles are congruent then the lines are parallel

Postulate 13

Parallel

If there is a line and a point not on a line then there is exactly one line through the point parallel to the given line

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