Enzyme, Pharmaceutical Aids, Miscellaneous Last Part of Chapter no 5th.pdf
Mathematical System-defined and undefined terms.pptx
1. Learning Competency:
illustrates the need for an axiomatic
structure of a mathematical system in
general, and in Geometry in particular:
(a) defined terms;
(b) undefined terms; (c)postulates; and
(d) theorems.
2. Objectives:
illustrates the need for an axiomatic structure
of a mathematical system in general, and in
Geometry in particular:
(a) defined terms
(b) undefined terms
3.
4.
5.
6.
7. Activity 1: Identify Me!
Determine whether the object is a point, line, or
plane.
31. Test yourself!
State the postulate or theorem you would use to justify the
statement made about each figure.
Answer: Through any
three non- collinear
points, there is exactly
one plane.
( Postulate 4)
32. Test yourself!
State the postulate or theorem you would use to justify the
statement made about each figure.
Answer: Through any
two points there is
exactly one line
( Postulate 3)
33. Test yourself!
State the postulate or theorem you would use to justify the
statement made about each figure.
Answer: If two points
lie in the plane, then
the line joining them
lies in that plane.
(Postulate 5)
34. Test yourself!
State the postulate or theorem you would use to justify the
statement made about each figure.
Answer: If two planes
intersect, then their
intersection is a line.
(Postulate 6)
35. Test yourself!
State the postulate or theorem you would use to justify the
statement made about each figure.
Answer: A line contains
at least two points.
(Postulate 1)
36. Test yourself!
State the postulate or theorem you would use to justify the
statement made about each figure.
Answer: If two lines
intersect, then exactly one
plane contains both lines.
(Theorem3)
37. Test yourself!
State the postulate or theorem you would use to justify the
statement made about each figure.
Answer: If a point lies
outside a line, then exactly
one plane contains both
the line and the point.
(Theorem2)
38. Test yourself!
State the postulate or theorem you would use to justify the
statement made about each figure.
Answer: If two lines
intersect, then they
intersect in exactly one
point. (Theorem1)