Postulates. (Postulate 1 and 3, Postulate 2 and 4, Postulate 5 and Postulate 6

First Six Postulates

1. WARM-UP!
Usetheillustrationgiventodotheactivity.
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!
Groupyourselveswithatleastthreemembers.As
groupmates,youcanworktogethertocomeupwithone
illustrations.
•TASK1.DRAWALINEBYCONNECTINGTWOPOINTS.
•TASK2.DRAWAPLANETHATCONTAINSATLEAST3NON-COLLINEARPOINTS.
•TASK3.DRAWAPLANETHATCONTAINSTWOPOINTSTHATARECONNECTED.
•TASK4.DRAWTWOPLANESTHATINTERSECTWITHEACHOTHER.

3. POSTULATE
OBJECTIVES:
a.definepostulate
b.illustratethefirstsixpostulates
c.valuesaccumulatedknowledgeas
meansofnewunderstanding.

4. POSTULATE
ASTATEMENTTHATIS
ACCEPTEDASTRUEWITHOUT
PROOF.

5. POSTULATES 1
Alinecontainsat
leasttwopoints.
Throughanytwopoints,
thereisexactlyone
line.
POSTULATES 3

6. POSTULATES 2
Aplanecontainsat
leastthreenon-
collinearpoints.
Throughanythreenon-
collinearpoints,there
isexactlyoneplane.
POSTULATES 4

7. POSTULATES 5
Iftwopointsareina
plane,thentheline
joiningthemliesinthat
plane.

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

9. ACTIVITY
ShoutYES,YES,YESifthestatement
canbeacceptedastrue;
otherwise,shoutNO,NO,NO.

10. ACTIVITY
1.Throughanytwopoints,thereisexactlyoneline.
2.Alinecontainsatleastonepoints.
3.Throughanythreenoncollinearpoints,thereisexactlyone
plane.
4.Ittwoplanesintersect,thentheirintersectionisapoint.
5.Iftwopointslieinaplane,thenthelinejoiningthemliesinthat
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.PointFandGlieinaplaneQ
andonlinem.Linemlies
entirelyinplaneQ.
2.PointsAandCdeterminea
line.
3.PlanePcontainspointsE,B
andG.