Ch. 1.4 | A Framework with Definitions

Question 1

Collinear Points

Answer 1

Points that lie on the same line.

Question 2

Concurrent Lines

Answer 2

Lines that intersect at a single point.

Question 3

Coplanar (lines, points)

Answer 3

Coplanar Points: points that lie in the same plane

Coplanar Lines: lines that lie in the same plane

Question 4

Noncollinear points

Answer 4

Points that do not lie on the same line.

Question 5

Parallel (lines, planes)

Answer 5

Parallel Lines: Coplanar lines that do not intersect
If two lines (j) and (k) are parallel, we write j || k. The symbol “||” is read “is parallel to”

Parallel Planes: Planes in space that do not intersect.
The symbol “||” can be used for parallel planes too.

Question 6

Postulate

Answer 6

Describe relationships among the terms (whether defined or undefined) & not always reversible

The basic statements from which theorems are proved.
Are assumed to be true without proof.

Question 7

Skew Lines

Answer 7

Lines that are not coplanar

Question 8

Theorem

Answer 8

Describe relationships among the terms (whether defined or undefined) & not always reversible

A statement that can be shown to be true by a logical progression of previous terms and statements.