This document contains instructions and content for a geometry lesson involving points, lines, and planes. It includes tasks for students to complete illustrations connecting points and drawing planes. It also defines postulates, specifically the first six postulates relating to points, lines, and planes, and examples of using postulates to justify geometric statements. There are also activities for students to practice identifying true statements based on the postulates and examples of illustration assignments justifying statements with postulates.

1. WARM-UP!
Use the illustration given to do the activity.
1. Name all the points.
2. Name all the lines using script letter.
3. What is the other name for line w?
4. Name all the line segment.
5. Using a script letter, name a plane form
by the four lines.

2. LETS DO THIS!
Group yourselves with at least three members. As
groupmates, you can work together to come up with one
illustrations.
• TASK 1. DRAW A LINE BY CONNECTING TWO POINTS.
• TASK 2. DRAW A PLANE THAT CONTAINS AT LEAST 3 NON-COLLINEAR POINTS.
• TASK 3. DRAW A PLANE THAT CONTAINS TWO POINTS THAT ARE CONNECTED.
• TASK 4. DRAW TWO PLANES THAT INTERSECT WITH EACH OTHER.

3. POSTULATE
OBJECTIVES:
a.define postulate
b.illustrate the first six postulates
c.values accumulated knowledge as
means of new understanding.

4. POSTULATE
A STATEMENT THAT IS
ACCEPTED AS TRUE WITHOUT
PROOF.

5. POSTULATES 1
A line contains at
least two points.
Through any two points,
there is exactly one
line.
POSTULATES 3

6. POSTULATES 2
A plane contains at
least three non-
collinear points.
Through any three non-
collinear points, there
is exactly one plane.
POSTULATES 4

7. POSTULATES 5
If two points are in a
plane, then the line
joining them lies in that
plane.

8. POSTULATES 6
If two planes
intersect, then their
intersection is a line.

9. ACTIVITY
Shout YES, YES, YES if the statement
can be accepted as true;
otherwise, shout NO, NO, NO.

10. ACTIVITY
1. Through any two points, there is exactly one line.
2. A line contains at least one points.
3. Through any three noncollinear points, there is exactly one
plane.
4. It two planes intersect, then their intersection is a point.
5. If two points lie in a plane, then the line joining them lies in that
plane.

11. QUIZ TIME!
I. Determine if the following statement can be accepted as
true or not.
1. People die.
2. The earth revolves around the sun.
3. The universe came to what it is now due to a big
explosion.
4. God created everything in 7 days.
5. Air cannot be seen.

12. QUIZ TIME!
II. Illustrate or draw the given statement, and state the
postulate you would use to justify the illustrations you
made.
1. One plane contains point A, B and C.
2. Only one lines contains points Q and T.
3. Line KL lies in plane P
4. Plane L and plane M intersect along line n.
5. There is another point besides point A on line d.

13. ASSIGNMENT!
Directions: State the postulate that can be used to show the
statement is true.
1. Point F and G lie in a plane Q
and on line m. Line m lies
entirely in plane Q.
2. Points A and C determine a
line.
3. Plane P contains points E, B
and G.