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