# Unit 1 Concepts 1 and 2: Inductive Reasoning, Points, Lines, & Planes

## 14 terms · Basic terms and postulates are explored for concepts 1 & 2 in this unit, Chapter 1: Sections 1 & 2 (Prentice Hall).

### point

an exact location in space

### space

the set of all points

### line

a series of points that extends in two opposite directions without end

### collinear points

points that lie on the same line

### plane

a flat surface that has no thickness

### coplanar

two points or lines that lie on the same plane

### postulate or axiom

an accepted statement of fact

### exactly one line.

Through any two points there is

### exactly one point.

If two lines intersect, then they intersect in

### exactly one line.

If two planes intersect, then they intersect in

### exactly one plane.

Through any three noncollinear points there is

### inductive reasoning

reasoning based on patterns you observe

### conjecture

a conclusion you reach using inductive reasoning

### counterexample

an example for which the conjecture is incorrect