26 terms

Collinear

Points that lie on the same line

Linear Pair

A pair of adjacent angles whose noncommon sides are opposite rays.

Supplementary angles

Two angles whose sum is 180 degrees

Complementary angles

Two angles whose sum is 90 degrees

Vertical Angles

A pair of opposite congruent angles formed by intersecting lines

Angle addition postulate

If P is in the interior of <RST, then m<RSP + m<PST = m<RST

Segment addition postulate

If B is between A and C, then AB + BC = AC

Congruent

Having the same size and shape

Angle bisector

a ray that divides an angle into two congruent angles

Segment bisector

a segment, ray, line, or plane that intersects a segment at its midpoint

Midpoint

A point that divides a segment into two congruent segments

postulate

something accepted as true without proof; an axiom

theorem

A mathematical statement which we can prove to be true

Line segment

A part of a line with two endpoints

Line

A straight path that has no thickness and extends forever.

Plane

A flat surface that has no thickness and extends forever.

Distance

the length between any two points in the absolute value of the difference of the coordinates

Distance Formula

d = √[( x₂ - x₁)² + (y₂ - y₁)²]

Midpoint Formula

The formula for a halfway point between two coordinates.

Pythagorean Theorem

The sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse.

adjacent angles

Angles that have a common side and a common vertex (corner point).

Angle

A figure formed by two rays with a common endpoint

acute angle

an angle that measures more than 0 degrees, but less than 90 degrees

obtuse angle

An angle that measures more than 90 degrees but less than 180 degrees

right angle

an angle that measures 90 degrees

straight angle

an angle that measures 180 degrees