Points, Lines, and Planes SWBAT identify collinear and noncollinear points, lines, line segments, rays, angles, parallel lines, and skew lines; read and.

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Presentation transcript:

Points, Lines, and Planes SWBAT identify collinear and noncollinear points, lines, line segments, rays, angles, parallel lines, and skew lines; read and write symbols for geometric figures; identify parallel, intersecting, and perpendicular planes

Definitions Point An exact location in space. An exact location in space. Represented by a dot. Represented by a dot. Named by a letter Named by a letterLine A continuous set of points in a straight path. A continuous set of points in a straight path. Has two endpoints. Has two endpoints. Named by any two points on the line. Named by any two points on the line.

Definitions Collinear If a straight line can be drawn through a set of points If a straight line can be drawn through a set of pointsNoncollinear If a straight line cannot be drawn through a set of points If a straight line cannot be drawn through a set of points Line segment Part of a line. Part of a line. Has two endpoints, it is named by them. Has two endpoints, it is named by them.

Definitions Ray Part of line that has only one endpoint. Part of line that has only one endpoint. Continues infinitely in the other direction. Continues infinitely in the other direction. It is named by its endpoint and another point along the ray. It is named by its endpoint and another point along the ray.Angle A figure formed by two rays with a common endpoint. A figure formed by two rays with a common endpoint. Named using the letters of the 3 points that make it up, by the vertex, or by a number in the angle. Named using the letters of the 3 points that make it up, by the vertex, or by a number in the angle.Vertex The endpoint of an angle The endpoint of an angle

Definitions Plane A flat, two-dimensional surface that extends infinitely in all directions A flat, two-dimensional surface that extends infinitely in all directions It is names by at least 3 points in it that are NOT collinear It is names by at least 3 points in it that are NOT collinearCoplanar Points and lines in the same plane Points and lines in the same plane

Definitions Intersecting lines Two lines that intersect at exactly one point. Two lines that intersect at exactly one point. They create 4 angles They create 4 angles Vertical angles Opposite angles created by intersecting lines. Opposite angles created by intersecting lines. They are congruent in measure. They are congruent in measure.

Definitions Perpendicular line Two lines that intersect to make right angles. Two lines that intersect to make right angles. Parallel lines Two lines on the same plane that run side by side without ever intersecting. Two lines on the same plane that run side by side without ever intersecting. Skew lines Lines in different planes that are neither intersecting nor parallel Lines in different planes that are neither intersecting nor parallel