Geometry Postulates and Theorems

Front

What does the Alt. Interior Angles Converse Theorem (Thm 3-5) state?

Back

If two lines are cut by a transversal and the alternate interior angles are congruent, then the lines are parallel.

Front

What is the conclusion of the Corresponding Angles Converse Theorem (Thm 3-4)?

Back

If two lines and a transversal form corresponding angles that are congruent, then the lines are parallel.

Front

What does the Alt. Exterior Angles Converse Theorem (Thm 3-7) state?

Back

If two lines are cut by a transversal and the alternate exterior angles are congruent, then the lines are parallel.

Front

What does the Same Side Interior Angles Postulate (Thm 3-1) state?

Back

If two parallel lines are cut by a transversal, then each pair of same-side interior angles is supplementary.

Front

What is the Congruent Supplement Theorem (Thm 2-2)?

Back

If two angles are supplementary to the same angle (or to congruent angles), then they are congruent.

Front

What does the Vertical Angles Theorem state?

Back

Vertical angles are congruent.

Front

What is the definition of a transversal?

Back

A transversal is a line that intersects two or more lines at different points.

Front

What is the definition of corresponding angles?

Back

Corresponding angles are pairs of angles that are in similar positions at each intersection where a transversal crosses two lines.

Front

What is the definition of alternate interior angles?

Back

Alternate interior angles are pairs of angles that lie between two lines and on opposite sides of a transversal.

Front

What is the definition of alternate exterior angles?

Back

Alternate exterior angles are pairs of angles that lie outside two lines and on opposite sides of a transversal.