points, lines, and planes sy 2015-2016 reference: geometry (2007) by ron larson et al
TRANSCRIPT
Points, Lines, and Planes
SY 2015-2016
Reference: Geometry (2007) by Ron Larson et al
Undefined Terms
O POINT - basic unit of Geometry- has location- has no size
Undefined Terms
O LINE- straight array of an infinite number of points
- no exact measure of length- no thickness- extends indefinitely in
opposite directions
Undefined Terms
O PLANE - described as a flat surface extending indefinitely along its length and width
Defined Terms
O SPACE - set of all pointsO COLLINEAR – on the same lineO COPLANAR - on the same plane
Collinear points are coplanar. (asn)
Coplanar points are collinear. (asn)
Collinear points are coplanar. (asn)
Coplanar points are collinear. (asn)
Checking Your Understanding
Let’s interpret the figure!
Postulates
O Postulate: Through any two points, there exists
exactly one line.
O Postulate:A line contains at least two
points.
Postulates
O Postulate:If two lines intersect, then their intersection is exactly one point.
Checking Your Understanding
Let’s interpret the figure!
Checking Your Understanding
Let’s interpret the figure!
Postulates
O Postulate: If two planes intersect, then their intersection is a line.
Checking Your Understanding
Let’s interpret the figure!
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.
Checking Your Understanding
Let’s interpret the figure!
Checking Your Understanding
Let’s interpret the figure!
Checking Your Understanding
Let’s interpret the figure!