Explanation Given: A parallelogram three vertices A ( 1 , 3 ) B ( 3 , − 2 ) and C ( 4 , 11 ) . Concept used: If a rectangle is said to be a parallelogram then its opposite sides are parallel to each other. If four points of a parallelogram ( x 1 , y 1 ) , ( x 2 , y 2 ) , ( x 3 , y 3 ) , ( x 4 , y 4 ) respectively, then y 2 − y 1 x 2 − x 1 = y 4 − y 3 x 4 − x 3 Proof: Consider, A ( x 1 , y 1 ) = ( 1 , 3 ) ; B ( x 2 , y 2 ) = ( 3 , − 2 ) ; C ( x 3 , y 3 ) = ( 4 , 11 ) ; D ( x 4 , y 4 ) = ( x , y ) The slopes of A B , C D are same and in the same way the slopes of A C , B D are also the same

7th Edition

ISBN: 9781524916817

Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE

Publisher: Kendall Hunt Publishing

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Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on …

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Chapter 1.3, Problem 41PS

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To find: fourth vertex of the parallelogram, from the given other three points.

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Chapter 1.3, Problem 40PS

Chapter 1.3, Problem 42PS

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Chapter 1 Solutions

Calculus

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fourth vertex of the parallelogram, from the given other three points.

Solution Summary: The author explains how to find the fourth vertex of the parallelogram, from the given other three points.

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To find: fourth vertex of the parallelogram, from the given other three points.

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Chapter 1 Solutions