Understanding Points & Lines Essential Question: How do you use undefined terms as the basic elements of geometry?

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Presentation transcript:

Understanding Points & Lines Essential Question: How do you use undefined terms as the basic elements of geometry?

Point  A Undefined A point has no size, no dimension. It is a location in space. Points are named using capital letters.

Line AB Undefined A line is made up of an infinite number of points that go on without end in both directions. A line has one dimension, length. A line can be named with a single lowercase script letter or by two points on the line.

Ray AB Part of a line A ray has a definite starting point and extends without end in one direction. A ray is named using the endpoint first, then another point on the ray.

Line Segment AB A line segment is part of a line containing two endpoints and all points between them. A line segment is named using the endpoints.

Collinear & Non-collinear Collinear Points that lie on the same line. Non-collinear Points that do not lie on the same line.

Parallel Lines Lines in the same plane that are always the same distance apart. They do not intersect.

Skew Lines Lines that are not in the same plane and do not intersect.

Intersection The set of points that are in both figures.

Concurrent Lines Three or more lines that pass through the same point.

Postulates: Statements that are accepted as true without proof) Two points determine a unique line. If two distinct lines intersect, then their intersection is a point. Three non-collinear points determine a unique plane. If two distinct planes intersect, then their intersection is a line.