Points, Lines and Planes

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Points, Lines, & Planes.

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Presentation transcript:

Points, Lines and Planes Building Blocks of Geometry Section 1.2

named by capital letter POINT has no size represented by a dot named by capital letter P (yay I’m a point!)

LINE Has no thickness Extends in both directions forever! named a variety of ways:

PLANE An imaginary flat surface that stretches forever Has no thickness Drawn as a 4-sided figure Labeled with a capital letter

Can you think of some everyday objects that could model a POINT? LINE? PLANE?

But wait a second….. SPACE We Don’t live in FLATLAND (a plane) We live in a world of 3 dimensions And we call this set of all points…. SPACE

So think of….. Space as 3 dimensions (3-d) A Plane as 2 dimensions A Line as 1 dimension And the poor lonely point as… Yes, zero dimensions.

More Vocabulary (yeah!) When points lie on the same line they are said to be COLLINEAR And if they don’t, well then they’re NON-COLLINEAR

Even More Vocabulary When points lie on the same plane they are said to be COPLANAR And if they don’t, well then they’re NON-COPLANAR

ACTIVITY Find four points in this room that are coplanar Find four points in this room that are non-coplanar

INTERSECTION The intersection of two figures is where they “cross”. What is the intersection of two different lines? What is the intersection of two different planes? Are there exceptions to your rules above?

Conclusions Two different lines intersect at a Or else they are point Or else they are Parallel (or skew) Two different planes intersect at a line parallel