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

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

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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

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Checking Your Understanding

Let’s interpret the figure!

Postulates

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

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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!