Beast Grade 6 Math Workbook
                     Basics of Geometry  
Presented By: https://store.bobbytariq.com/
• What are the undefined terms in geometry? 
• What concepts present the foundations of geometry?
• Can you sketch the intersection of lines and planes?
• These questions (and much more!!) will be answered by the end of this 
presentation.
• Are you ready?
What is Geometry?
Some of the important branches of geometry are:
• Points, Lines, Angles, Curves, Surfaces and Solids
• The Visual Study of Shapes , Sizes Patterns and Positions. 
Undefined Terms of Geometry
Some of the Concepts are :
• Lines
• Points
• Planes
Lines
  What are Lines???
• Lines has no Beginning or End 
• Continues Indefinitely in both  directions
• Can Be illustrated by drawing arrows at each end
Types of Lines ???
• Line
• Line Segment
• Ray
• Perpendicular
• Parallel
• Intersecting 
Plane
  What is Plane???
• Plane is  has two dimensions.
• Represented by a slanted 4 sided figure without 
end but has  edges.
X T This is Plane T or plane XYZ (be sure 
to only use three of the points when 
  Y Z naming a plane)
Line Segments
Let’s look at the idea of a point in between  two other points on a line.
Here is line AB, or recall A B
symbolically  AB
The  line segment does not 
extend without end.  It has 
endpoints, in this case A and B.  
This is segment AB The segment contains all the 
points on the line between A 
and B
Notice the difference in the 
symbolic notation!
Lets Look at Ray
A is called the initial 
point The initial point is 
always the first letter 
A B in naming a ray.  
Notice the difference 
in symbols from both 
Ray AB extends in a line and segment.
one direction without 
end.
Symbolized by AB
Opposite Rays
If Z is between X and Y,
X Z Y
then  Z   X     and   Z  Y     are opposite rays.
Z is the common initial point for the rays!
Angles
Rays helps to identify the angels so it plays very important role. 
An angle consists of two different rays that have the same initial point.  
The rays are sides of the angles.  The initial point is called the vertex.
Notation:  We denote an angle with 
three points and Symbol.  The middle 
vertex Y point is always the vertex.  We can also 
name the angle with just the vertex 
point.  This angle can be denoted as:
sides
X YXZ , ZXY, or X
Z
Classifying Angles
Angles are classified as acute, right, obtuse, and straight, 
according to their measures.  Angles have measures greater than 
0° and less or equal to 180°.
X X X X
Acute angle Right angle Obtuse angle Straight angle
0°< m     X < 90° m     X = 90° 90°< m      X < 180° m    X= 180°
Get Complete Information at: 
https://store.bobbytariq.com/