Exploring Tools for Geometry

Size

Location

Direction

Thickness

A straight path with a fixed length

A straight path extending in two opposite directions without end

A curved path with endpoints

A straight path with thickness

A flat surface with a fixed area

A curved surface with thickness

A three-dimensional object

A flat surface that extends without end and has no thickness

Points that lie on the same line

Points that form a triangle

Points that lie on the same plane

Points that lie on different lines

Points and lines that lie on different planes

Points and lines that lie on the same plane

Points that lie on the same line

Lines that intersect at a point

A line that extends in one direction

A line that extends in two directions

A point with no size

A part of a line that consists of two endpoints and all points in between

A ray has no endpoints

A ray is a part of a plane

A ray extends in one direction from an endpoint

A ray has two endpoints

Two rays that do not share an endpoint

Two rays that lie on different planes

Two rays that share an endpoint and form a line

Two rays that form a segment

They intersect in exactly one point

They intersect in exactly one line

They intersect in exactly one plane

They do not intersect

They do not intersect

In exactly one line

In exactly one point

In exactly one segment