1-6 The Coordinate Plane

1-6 The Coordinate Plane - -2 8 3 2 8 2 = +-= M 2. In a...

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The Coordinate Plane Section 1-6
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Origin (0,0) Quadrant I Quadrant II Quadrant III Quadrant IV
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Each point in a coordinate plane can be named by an ordered pair. The 1st coordinate, usually called the x- coordinate, tells how far left or right of the y-axis the point is located. The 2nd coordinate, usually called the y- coordinate, tells how far left or right of the y-axis the point is located.
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Definition of Midpoint The midpoint M of is the point between P and Q such that PM = MQ. PQ P Q M
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Midpoint Formulas 1. On a number line, the coordinate of the midpoint of a segment whose endpoints have coordinates a and b is 2 b a + a b M
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Unformatted text preview: -2 8 3 2 8 2 = +-= M 2. In a coordinate plane, the coordinates of the midpoint of a segment whose endpoints have coordinates (x 1 , y 1 ) and (x 2 , y 2 ) are . 2 , 2 2 1 2 1 + + y y x x Segment Bisector Any segment, line, or plane that intersects a segment at its midpoint is called a segment bisector. Midpoint Theorem If M is the midpoint of then AB MB AM 2245 Distance Formulas 1. On a number line the distance between 2 points on a number line is 2. On a coordinate plane, the distance between 2 points is d B A =-A B ( 29 ( 29 2 2 2 1 2 1 d x x y y =-+-...
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This note was uploaded on 12/01/2011 for the course MATH 105 taught by Professor Towns during the Fall '10 term at BYU.

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1-6 The Coordinate Plane - -2 8 3 2 8 2 = +-= M 2. In a...

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