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Definition: Collinear

Two or more points that lie on the same line.

Definition: NonCollinear

Points that do not lie on the same line.

Definition: Coplaner

Two or more points that lie on the same plane.

Segment Addition Postulate

If Q is between P and R, then PQ + QR = PR. If PQ + QR = PR, then Q is between P and R.

Pythagorean Theorem

If a triangle is right, then the sum of the squares of the measures of the legs equals the square of the measure of the hypotenuse.

Definition of a Midpoint

The midpoint M of PQ is the point between P and Q such that PM = MQ.

Midpoint Formula

1. On a number line, the coordinate of the midpoint of a segment whose endpoints have coordinates a and b is (a+b)/2.
2. In a coordinate plane, the coordinates of the midpoints of a segment whose endpoints have coordinates (x1, y1) and (x2, y2) are ((x1 + x2)/2, (y1 + y2)/2). 
What is the interior of an angle?


What is the exterior of an angle?


Angle Additon Postulate

If R is in the interior of <PQS, then m<PQR + m<RQS = m<PQS.
If m<PQR + m<RQS = m<PQS, then R is in the interior of <PQS. 
Definition of a right angle

<A is a right angle if m<A is 90.

Definition of an obtuse angle

<A is an obtuse angle if m<A is greater than 90 and less than 180.

Definition of an acute angle

<A is an acute angle if m<A is less than 90.

Perpendicular Lines are:

special intersecting lines that form right angles.

Vertical Angles:

are congruent.
