Foundations of Geometry

What is the distance between (0, -8) and (-6, 0)?

What is the distance between (-7, -1) and (-2, -4) to the nearest tenth?

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.

Part of a line. Has one endpoint and continues on forever in one direction.

• Line Segment

• Line

• Ray

• Point

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.

An example of coplaner points

• D, E, B

• C, B, A

• M, E, C

• A, F, E

Give another name for line b

• line a

• R

• line KL

• line HK

How would you describe points I, L, C?

• collinear

• non-coplanar

• symmetric

• coplanar

A plane containing point A.

• Plane DEA

• Plane k

• Plane CDF

• Plane F