# Defining Geometric Terms: Line, Point, "Lie On", Between, Congruent

• mamma_mia66
In summary, the conversation discusses the definitions of various geometric terms including midpoint, perpendicular bisector, angle bisector, collinear points, and concurrent lines. The conversation also mentions the use of undefined terms such as line, point, "lie on", between, and congruent. The speaker expresses confusion and seeks help in understanding these terms. Suggestions for resources such as Wikipedia, Mathworld, and Planetmath are given to aid in understanding.
mamma_mia66

## Homework Statement

Define the following terms:
a) Midpoint M of segment AB.
b) Perpendicular bisector of a segment AB (you may use the term "midpoint" since ypu have just defined it).
c) Ray BDbisects angle ABC (given that point D is between A and C)
d) Points A, B, and C are collinear .
e) Lines l, m, and n are concurrent .

I need to use the five undefined geometric terms: line,point, "lie on", between, congruent.

## The Attempt at a Solution

I am lost. I used the dictionary, but still confused. I will apreciate any help.

I am gessing for (d) Points A, B, and C lie on one line.

Have you tried wikipedia, mathworld, and/or planetmath?

No, I tried only online dictionary, but not much help. I will try these above. I tried google as I as can, but...
Thank you.

No problem, at your level, I would first try wikipedia then planetmath. Mathworld sometimes has a tendency to go crazy with linking definitions and one starts losing sight of the forest. Good luck.

## What is a line?

A line is a straight path that extends infinitely in both directions. It has no thickness and is represented by a straight line with arrows at each end.

## What is a point?

A point is a specific location in space, represented by a dot. It has no size or dimension.

## What does "lie on" mean?

"Lie on" refers to a point or line being located on a specific object or surface. For example, a point can lie on a line, and a line can lie on a plane.

## What does "between" mean?

"Between" refers to a point being located in the middle of two other points or objects. It can also refer to a line segment being located in the middle of two other line segments.

## What does "congruent" mean?

"Congruent" means having the same size and shape. In geometry, it refers to two objects that are identical in shape and size, and can be superimposed on each other.

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