Ggggggggg Postulates and Theorem PPT PRESENTATION

For you guys

1. Postulates &
Theorems

2. Postulate
is a statement that is accepted as true without having to
formally prove it.
Theorem
are statements that must be proven true by citing undefined
terms, definitions, postulates, and previously proven theorems.

3. Postulates and Theorems relating
to Points, Lines, and Planes
Two distinct points determine a line.1.
A plane contains three noncollinear points.2.
Through any two points there are infinitely many planes.3.
Through any three points there is at least one plane.4.
Through any three noncollinear points there is exactly one plane.5.
If two points are in a plane, then the line that contains those points lies entirely in the plane. 6.
If two distinct planes intersect, then the intersection is a line.7.
Postulates

4. Postulates and Theorems relating
to Points, Lines, and Planes
If two distinct lines intersect, then they intersect in exactly one point.1.
If there is a line and a point not in the line, then there is exactly one plane that contains them.2.
If two distinct lines intersect, then they lie in exactly one plane.3.
Theorems

5. Ruler postulate
The ruler postulate states that every point on a number line
coordinates with a real number, and the absolute value of the
difference between the coordinates of any two points is equal to the
distance between the two points.

6. Ruler postulate
Given the points on the number line: Determine the length of the
following segments:
a. CF b. AB c. DE d. FB

7. Ruler postulate
Using the ruler postulate, find the length of the following
segments:
a. KL b. LP c. MN

8. Confruent Segments
Congruent segments are simply line segments that are equal in
length.

9. Midpoint of a Segment
A midpoint of a line segment is the point on a segment that
bisects the segment into two congruent segments
When can you definitively identify a point as the midpoint of a
segment?
1.
Does every pair of congruent segments necessarily have a midpoint
between them?
2.

10. Is AB congruent to DE?1.
What is the coordinate of the midpoint of segment CE? 2.
Midpoint of a Segment

11. The segment addition postulate states that a point lies on a
line segment if and only if the sum of the distances from the
point to each endpoint of the line segment equals the length
of the line segment itself.
Segment Addition
postulate

12. Written Math C-D even numbers and the Math Challenge.
Practice exercises

13. Summarize the different definitions, postulates,
and theorems discussed today.

14. Which part of the discussion did you find most
challenging? Why do you think this part was
difficult for you?
What steps can you take to enhance your
understanding of this concept?