Explain Euclid's axioms with examples.
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1. Given any two points, you can draw a straight line between them ( called a line segment).
✳✳✳✳✳✳✳✳✳
A.________________________.B
2. Any line segment can be made as
long as you like (that is, extended indefinitely).
3. Given a point and a line segment
starting at the point, you can draw a circle centred on the given point with the given line segment as its radius.
4. All right angles are equal to each other.
5. If you draw a line segment across two straight lines and it creates two angles on the same side which add to less than two right angles, then those two straight lines intersect.
✳✳✳✳✳✳✳✳✳
A.________________________.B
2. Any line segment can be made as
long as you like (that is, extended indefinitely).
3. Given a point and a line segment
starting at the point, you can draw a circle centred on the given point with the given line segment as its radius.
4. All right angles are equal to each other.
5. If you draw a line segment across two straight lines and it creates two angles on the same side which add to less than two right angles, then those two straight lines intersect.
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