1. Points, Lines, and Planes SY 2015-2016 Reference: Geometry (2007) by Ron Larson et al

2. Undefined Terms O POINT - basic unit of Geometry - has location - has no size

3. Undefined Terms O LINE- straight array of an infinite number of points - no exact measure of length - no thickness - extends indefinitely in opposite directions

4. Undefined Terms O PLANE- described as a flat surface extending indefinitely along its length and width

5. Defined Terms O SPACE- set of all points O COLLINEAR – on the same line O COPLANAR - on the same plane Collinear points are coplanar. (asn) Coplanar points are collinear. (asn)

6. Checking Your Understanding Let’s interpret the figure!

7. Postulates O Postulate: Through any two points, there exists exactly one line. O Postulate: A line contains at least two points.

8. Postulates O Postulate: If two lines intersect, then their intersection is exactly one point.

9. Checking Your Understanding Let’s interpret the figure!

10. Checking Your Understanding Let’s interpret the figure!

11. Postulates O Postulate: If two planes intersect, then their intersection is a line.

12. Checking Your Understanding Let’s interpret the figure!

13. Postulates O Postulate: Through any three non-collinear points, there exists exactly one plane. Through any three collinear points, there exists at least one plane.

14. Checking Your Understanding Let’s interpret the figure!

15. Checking Your Understanding Let’s interpret the figure!

16. Checking Your Understanding Let’s interpret the figure!