By this end of the presentation you will be able to:
Identify and model points, lines, and planes.
Identify collinear and coplanar points.
Identify non collinear and non coplanar points.
What is Geometry
is the study of
lines, angles and
with each other.
A point indicates a position or location in space.
Point has no size and shape = no dimension.
Point is represented by a small dot.
points are named using capital letters.
Example: .A or “Point A”
Line is two or more points which are
connected and are endless in both directions.
It never ends.
It is represented by a straight line with two
arrowheads to indicate that the line extends
without end in two directions.
The symbol for a line
NAMING A LINE
Line is named using any two points on a line or with a
lower case letter.
a)Two points on a line:
AB, AC , BA, BC , etc...
A B C
b) Single lowercase letter
Example: name the line below.
Ans. Line m or AB or BA
• Plane is a flat two dimensional surface which contains points,
lines, segments. plane figures are closed
• It is represented by a shape that looks like a tablecloth or wall.
Example of Planes: walls, desk tops, floors, and paper etc
Planes are everywhere around us.
Floor Desk top
Naming a Plane
Planes are named using three points on a plane or cursive capital
a) Three points on the plane:
Plane ABC A • C •
b) Single cursive uppercase letter:
Example: name the plane below.
C • Ans. Plane ABC Or Plane R
Naming collinear and coplanar points
Collinear points are two or three points on the
same line. Collinear points A, B,C and points D, B,E
Any three points combination that are
not in the same line. E.g. points ABE
A B C
Coplanar points are four or more point to point on the same plane.
Coplanar points: ABCD .E
1.Draw a noncollinear point, J K, L.
JK = KL = LJ =
3. Draw plane S.
4. Draw a collinear point, A, B, C.
5. Draw point Z.
Name a point that is collinear with the given points.
1. F and H
2. G and K Ans.
3. K and L 1.K
4. M and J 2. N
5. J and N 3.M
6. K and H L
7. H and G 6. F
8. J and F 7.J
Name three points in the diagram that
are not collinear.
1 2 3
Decide whether the statement is true (T) or false (F)
1. Points A,B and C are collinear.
2. Points A,B and C are coplanar.
3.Point F lies on DE.
4. DE lies on plane DEF.
5. BD and DE intersect.
6. BD is the intersection of plane ABC
and plane DEF.
1. F 2. T 3. F 4. T 5. T 6. T
Name a point that is coplanar with the given points
1. A, B, and C
2. D, C, and F
3. G, A, and D
4. E, F, and G
5. A, B and H
1. D 2. G 3. H 4. H 5. E
Name all the points that are not coplanar with the given points.
1.N, K and L
2. S, P and M
3. P, Q and N
4. R,S and L
5. P, Q, and R
Ans. 1.) R, S, P, Q 2) K,N,Q,R 3) S,R,L,K 4) M, N, P, Q 5. K,L,M,N