Definitions
Angles that lie on the same side of the transversal outside the intersected lines.
What are consecutive exterior angles?
If two lines are cut by a transversal so the consecutive exterior angles are supplementary, then the lines are parallel.
What is the Converse of the Consecutive Exterior Angles Theorem?
A straight, one-dimensional figure with no thickness that extends infinitely in both directions
What is a line?
Angles that form a straight line
What are a linear pair?
If two parallel lines are cut by a transversal, then the pairs of consecutive exterior angles are supplementary.
What is the Consecutive Exterior Angles Theorem?
Angles that lie on the same side of the transversal and on the same side of the intersecting lines
What are corresponding angles?
If two lines are cut by a transversal so that alternate interior angles are congruent, then the lines are parallel.
What is the Converse of the Alternate Interior Angle Theorem?
Lines that are coplanar and never intersect
What are parallel lines?
Angle that measures up to 90 degrees.
What is a right angle?
If two parallel lines are cut by a transversal, then the resulting corresponding angles are congruent.
What is the Corresponding Angles Postulate?
Angles that lie on opposite sides of the transversal outside the intersected lines.
What are alternate exterior angles?
If two lines are cut by a transversal so the consecutive interior angles are supplementary, then the lines are parallel.
What is the Converse of the Consecutive Interior Angle Theorem?
Lines that intersect and form 90 degree angle.
What are perpendicular lines?
Two angles that add to 180 degrees.
What are supplementary angles?
If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles are supplementary.
What is the Consecutive Interior Angles Theorem?
Angles that are nonadjacent angles that lie on opposite sides of the transversal between the intersected lines
What are alternate interior angles?
If two lines are cut by a transversal so that alternate exterior angles are congruent, then the lines are parallel.
What is the Converse of the Alternate Exterior Angle Theorem?
A line that intersects two or more coplanar lines at different points
What is a transversal?
Two angles that add up to 90 degrees.
What are complementary angles?
If two parallel lines are cut by a transversal, then the pairs of alternate interior angles have the same measure.
What is the Alternate Interior Angles Theorem?
Angles that lie on the same side of the transversal between the intersected lines.
What are consecutive interior angles?
If two lines are intersected by a transversal and a pair of corresponding angles are congruent, then the two lines are parallel.
What is the Converse of the Corresponding Angles Postulate?
A line perpendicular to a segment at the midpoint of the segment
What is a perpendicular bisector?
Two angles formed by intersecting lines that don't share a common side.
What are vertical angles?
If two parallel lines are cut by a transversal, then the pairs of alternate exterior angles have the same measure.
What is the Alternate Exterior Angles Theorem?