Slide 1 : WELCOME
TO THE CLASS!
PRESENT
BY
MARIE GLEMAUD
Slide 2 : . Line Point plane Geometry
OBJECTIVES : OBJECTIVES By this end of the presentation you will be able to:
Identify and model points, lines, and planes.
Identify collinear and coplanar points.
Identify noncollinear and noncoplanar points.
What is Geometry : What is Geometry Geometry
is the study of lines, angles and their relationship with each other. .
.
POINTS : POINTS Point has no size and shape = no dimension.
Point is represented by a small dot.
It is named with a capital letter.
Example: . A or “Point A” .B .C .D
Line : Line 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
It is named using any two points on the line or with a lower case letter
Example:
Line w or AB or BA w A B . .
Plane : Plane Plane is a flat two dimensional surface which contains points, lines, segments. It is represented by a shape that looks like a tablecloth or wall.
It is named by using a cursive capital letter in a corner.
Name: Plane Or plane ABC F A
B
C . . . F
Naming collinear and coplanar points : Naming collinear and coplanar points Collinear points are two or three points on the same line Collinear A, B,C and D , B, E
Non collinear:
Any three points combination that are
not I the same line. E.g. points ABE
Coplanar points are four or more point to point on the same plane.
Coplanar points: ABCD
Non-Coplanar point: A B C D E . . . . . A B D C E . . . . .
PRACTICE : PRACTICE 1.Draw a noncollinear point, J K, L.
2.Draw JK, KL, LJ
3. Draw plane S.
4. Draw a collinear point, A, B, C.
5. Draw point Z.
PracticeUse the figure to name each of the following : PracticeUse the figure to name each of the following 1. A Line containing point A A B C D N E . . . . . l Ans. 1) The line can be named l
There are 4 points on the line. Any two of the
Points can be used to name the line
AB, BA, AC, AD, DA,
BC, CB, BD, CD, DC 2. A plane containing point C Ans. 2) The plane is N
Any three noncoplanar points=36
Planes: ABE, ACE, ADE, BCE, BDE, CDE
Slide 11 : 1.TU lies in plane Q and contains point R.
2. Draw a surface to represent plane Q and label it.
3. Draw a line anywhere on the plane.
4. Draw dots on the line for points T and U.
5. Since TU contains R, point R lies on TU.
6. Draw a dot on TU and label R. T R U . . . Q PRACTICE
Use the following sentences to Sketch
PRACTICEName a point that is collinear with the given points. : PRACTICEName a point that is collinear with the given points. F and H
G and K
K and L
M and J
J and N
K and H
H and G
J and F F H K J M L N G Ans.
K
N
M
F
L
F
J
M
Practice : Practice 1. Name a line that contains point P.
2. Name the plane containing lines n and m.
3. Name a point not contained in line l, m, or n
4. What is another name for line n?
5. Name the intersection of lines n and m. R Q P S T U W n l m . . . . . . . Iine n, RS, SR F F W PR, SR, PS .R
PRACTICEName three points in the diagram that are not collinear. : PRACTICEName three points in the diagram that are not collinear. 2 3 1
PRACTICEDecide whether the statement is true (T) or false (F) : PRACTICEDecide whether the statement is true (T) or false (F) Point A lies on line l
Point B lies on line l
Point C lies on line m
Point D lies on line m
A,B, and C, are collinear.
A, B, and C are coplanar
D, E, and B are collinear. A E C D B . . . . Ans.
1. F
2. T
3. T
4. F
5. F
6. T
7. T l m
PRACTICEDecide whether the statement is true (T) or false (F) : PRACTICEDecide 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. Ans.
1. F 2. T 3. F 4. T 5. T 6. T
PRACTICEName a point that is coplanar with the given points : PRACTICEName a point that is coplanar with the given points A, B, and C
D, C, and F
G, A, and D
E, F, and G
A, B and H
A, B, and G Ans.
1. D 2. G 3. H 4. H 5. E 6. H
PRACTICEName all the points that are not coplanar with the given points. : PRACTICEName 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
6. R, K and N 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 6. L, M, P S
Slide 19 : This is over ... Fantastic Felicitation! Bravo!
Slide 20 : Your feedback about Marie Glemaud: Knowledge Gained in the class: 1-5 Would you recommendthis Presenter to others? Comments: no yes Highest Follow this teacher yes
Slide 21 : Thank you
For
Your
PARTICIPATION
Bye!