Form 6 : Geometry Deduction

Geometry is the study of properties and relationship of objects in one,two or three dimensions.
Euclid is a Greek Mathematician who collected information on mathematics including geometry. He use logical sequences approach based on basic fact known as axioms.
Euclidean Axiom
1. There is one and only one straight line that can be drawn between two points.
2. A line segment can be extended indefinitely.
3. There is one an only circle that can be drawn with any one point as the
center and any line segment as the radius.
4. All right angles are congruent.
5. There is one and only one straight line that can be drawn parallel to a fixed
line and passing through any point that is not on the given line.

Axioms is a statement that is always true and need not be proven
Theorem - a statement about an important fact.
- Basic theorem is proven using axioms and used to
prove other theorems.
- involves two statements like 'if p then q' which
means 'if statement p is true , then statement q is
true.