SPI 3108.1.1 Give precise mathematical descriptions or definitions of geometric shapes in the plane and space.

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Presentation transcript:

SPI Give precise mathematical descriptions or definitions of geometric shapes in the plane and space.

Geometry is the study of points, lines, and planes and their relationships. It is unknown exactly when Geometry came about. However, there are some parts of Geometry that dates back to 2500 BC with the Egyptians. Geometry was first organized about 300 BC when the Greek mathematician Euclid gathered what was known at the time, added some of his own ideas, and arranged them into 13 books called 'Elements'.

A POINT is a basic term with no length or width. It is a location in “space”. Example s of a POINT: (2, 2) GraphHome (address)

A LINE extents indefinitely and have no thickness or width. Examples of a LINEs: AB

COLLINEAR are three or more points that lie on the same line. NONCOLLINEAR are three or more points that do not lie on the same line. Example of COLLINEAR: A, B, and C Example of NONCOLLINEAR: A, C, and D ABC D

A RAY is part of a line that has an endpoint and contains all the points of a line without end in one direction. Examples of a RAYs: ● AB Car headlights

A LINE SEGMENT is part of a line containing two endpoints and all points between them. Examples of a LINE SEGMENTs: ●● AB School Hallway

A PLANE is a flat surface that extents in all directions containing at least three noncollinear points. Examples of a PLANE: X Y The Ocean

COPLANAR are three or more points that lie on the same plane. NONCOPLANAR are three or more points that do not lie on the same plane. Example of COPLANAR: A, B, C, and D Example of NONCOPLANAR: The TV and the floor. The floor is a plane, but the TV does not set on the floor. ABC D

Match the example with the appropriate term. 1. The tip of a needle.A. Plane 2. A wallB. Point 3. A star in the skyC. Ray 4. Lines on notebook paperD. Line Segment 5. A sink facet 6. A skating rink

Match the example with the appropriate term. B 1. The tip of a needle.A. Plane A 2. A wallB. Point B 3. A star in the skyC. Ray D 4. Lines on notebook paperD. Line Segment C 5. A sink facet A 6. A skating rink