Module 16 - Tools of Geometry

Point

A specific location with no dimension.

Line

A connected straight path with no thickness and continues forever in both directions.

Plane

A flat surface that extends forever in all directions.

Perpendicular Bisector

A line, ray, or segment that divides another segment into two equal parts at a 90-degree angle.

(Line) Segment

A portion of a line consisting of two endpoints and all the points in between them.

Ray

A portion of a line that starts at an endpoint and continues forever in one direction.

Coplanar

Points that lie in the same plane.

Parallel

Lines in the same plane that never intersect.

Collinear

Points that lie on the same line.

Postulate

A statement accepted as true without proof.

Midpoint

The point in a segment that divides the segment into two equal segments.

(Segment) bisector

A line, ray, or segment that passes through the midpoint of a segment.

Angle

A figure formed by two rays with the same endpoint

Vertex

The common endpoint

Sides

The rays of an angle

(Angle) Bisector

A ray that divided an angle into two equal angles with the same measure.

Transformation

A function that changes the position, shape, and/or size of the figure.

Preimage

The figure that is the input of a transformation

Image

The output of a preimage in prime notation.

Rigid Motion

A transformation that changes the position of a figure while preserving length and angle measure.

Nonrigid Motion

Transformations that do not preserve distance.

90 Clockwise & 270 Counterclockwise

(x, y) → (y, -x)

90 Counterclockwise & 270 Clockwise

(x, y) → (-y, x)

180 Counterclockwise & Clockwise

(x, y) → (-x, -y)