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Chapter 1 of Geometry: Points,Lines,Planes, and Angles

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by

Derek Moses

on 31 May 2011

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Transcript of Chapter 1 of Geometry: Points,Lines,Planes, and Angles

Discovering Points,Lines,Planes,and Angles Coordinate Plane - coordinate system specifies each point uniquely in a plane by a pair of numerical coordinates, which are the signed distances from the point to two fixed perpendicular directed lines, measured in the same unit of length. Ordered Pair - an ordered pair is a collection of objects having two coordinates, such that one can always uniquely determine the object, which is the first coordinate of the pair as well as the second coordinate Noncollinear - points not lying on the same line Collinear - Points that lie on the same line. Planes - A surface containing all the straight lines that connect any two points on it. Lines- A long, narrow mark Perimeter - The continuous line forming the boundary of a closed geometric figure. Area - Area is defined as the number of square units that covers a closed figure Ruler Postulate- the points on a line can be paired with the real numbers Pythagorean Theorem - the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides. DistaAn amount of space between two things or peoplence Formula - MIdpoint Formula - The middle of a line segment. Segment Congruence - Line segments are congruent if they have the same length. Segment Bisector - Any line, segment or ray that intersects a segment at its midpoint. Opposite Rays - - two rays with a common endpoint that form a straight line Rays - Definition of a ray when the defining points are on the coordinate plane. Vertex The highest point; the top or apex.
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