Points, Lines, Angles, & Triangle Relationships

Angle Addition Postulate

40 degrees + 83 degrees = 123 degrees.

Angle on a Point

Three or more angles with a common point whose angles sum equals 360 degrees.

Linear Pair

Two angles sharing one ray and is made of opposite direction rays.

Vertical Angles

Two non-adjacent angles whose sides form two pair of opposite rays.

Angles on a Line

Two or more angles with a common point whose sums equals 180 degrees

Undefined Terms

Point, Line, Ray, Plane, and Circle

Isosceles Triangle

A triangle whose base angles are congruent.

Equilateral Triangle

A triangle whose three angles are congruent.

Alternate Exterior Angles are Congruent.

Angle m is congruent to angle t.

Corresponding Angles are Congruent.

Angle n is congruent to angle r.

Same Side Interior Angles are Supplementary

Angle o + Angle q = 180 degrees

Alternate Interior Angle are Congruent.

Angle o is congruent to angle r

Angle Addition Postulate

If D is a point in the interior of Angle CAB, then the measure of Angle CAD + measure of Angle DAB = measure of Angle CAB

Interior Angle Sum of a Triangle

The sum of the three interior angles of any triangle must equal 180 degrees.

If parallel lines are cut by a transversal, then exterior angles on the same side are supplementary.

angle 1 + angle 4 = 180 degrees

If parallel lines are cut by a transversal, then alternate exterior angles are equal in measure.

angle 1 = angle 2