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

Click For Summary

Homework Help Overview

The original poster seeks definitions for several geometric terms, including midpoint, perpendicular bisector, ray, collinear points, and concurrent lines, while needing to incorporate five undefined terms: line, point, "lie on", between, and congruent.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Some participants suggest exploring various online resources for definitions, while the original poster expresses confusion despite using a dictionary. There is a mention of attempting to clarify the relationship between points A, B, and C in terms of lying on a line.

Discussion Status

The discussion is ongoing, with participants providing suggestions for additional resources to aid in understanding. There is no explicit consensus on the definitions yet, and the original poster continues to seek clarity.

Contextual Notes

The original poster indicates a struggle with the definitions and has only used a dictionary for reference, suggesting a potential gap in understanding the geometric concepts involved.

mamma_mia66
Messages
51
Reaction score
0

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.
Please someone help. Thank you.


Homework Equations




The Attempt at a Solution



I am lost. I used the dictionary, but still confused. I will apreciate any help.
 
Physics news on Phys.org
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.
 

Similar threads

Euclidean and non Euclidean geometries problems
  • · Replies 4 ·
Replies
4
Views
4K
Undergrad Notion of congruent curve along a vector field
  • · Replies 1 ·
Replies
1
Views
2K
How do I find the distance between two lines passing through different points?
  • · Replies 1 ·
Replies
1
Views
1K
Show two unique points lie on a unique line.
  • · Replies 6 ·
Replies
6
Views
4K
Number of lines equidistant from four points on a plane
  • · Replies 2 ·
Replies
2
Views
2K
MHB Solve Exercise 1.6 in Greenberg's Euclidean Geometry: Betweenness and Lying On
  • · Replies 1 ·
Replies
1
Views
3K
Determine whether the points lie on a straight line
  • · Replies 6 ·
Replies
6
Views
23K
Undergrad Three inertial particles: Separating the twins from the paradox
  • · Replies 40 ·
2
Replies
40
Views
5K
MHB Solving the Tangram Puzzle Geometrically (No Constructions)
  • · Replies 6 ·
Replies
6
Views
3K
Proving the Existence of a Midpoint on Every Segment | Segment Midpoint Theorem
  • · Replies 4 ·
Replies
4
Views
2K