Foundations of Geometry: Points, Lines, and Planes

What is the difference between a LINE SEGMENT and a LINE?

• Line Segments are two-dimensional, Lines are one-dimensional

• Lines can be represented on single planes; Line Segments can only be represented on multiple planes.

• Line Segments have finite lengths; Lines go on forever.

• Line segments are geometric figures; Lines are not.

Baymax's eyes make a...

• Line
• Line segment
• Ray
• Angle

Which terms are considered undefined terms in Euclidean geometry?

• Point, plane, line segment

• Point, line, plane

• Line, plane, angle

• Point, line, ray

In a geometric system, which would best describe how postulates differ from theorems?

• Postulates do not require a proof and are presumed true, while theorems are statements requiring proof.

• Postulates are statements that require proof, while theorems cannot be proven.

• Both postulates and theorems do not require proof and are assumed to be true.

• There is no difference between postulates and theorems.

Points that lie on the same line are said to be

• Coplanar

• Collinear

• Skew

• Married

For two rays to be opposite rays, they must...

• share an endpoint

• form a line

• share an endpoint and form a line

• have names that are opposite from each other

Parallel lines...

• do not intersect and are coplanar

• do not intersect and are noncoplanar

• intersect at right angles

• intersect at angles of varying degrees

Answer explanation

Parallel Lines have a lot in common. It is a shame they will never meet!

A part of a line with one endpoint and all the points on the line on one side of the endpoint is a ...

• line segment

• ray

• line

• half line

Skew lines...

• do not intersect and are coplanar

• do not intersect and are noncoplanar

• intersect at right angles

• intersect at angles of varying degrees

A location; has no size

• Point

• Line

• Plane

• Space