Elementary Geometry for College Students (5th Edition)

Published by Brooks Cole
ISBN 10: 1439047901
ISBN 13: 978-1-43904-790-3

Chapter 10 - Section 10.1 - The Rectangular Coordinate System - Exercises: 12c

Answer

B(-1,6)

Work Step by Step

Points A and B have symmetry with respect to point C(2, 3). To find the coordinates of B if A is the point: (5,0) M=($\frac{x1+x2}{2}$, $\frac{y1+y2}{2}$) (2,3) = ($\frac{5+x2}{2}$, $\frac{0+y2}{2}$) 2 =$\frac{5+x2}{2}$ , 3= $\frac{0+y2}{2}$ x2 =4-5, y2 = 6 -0 x2 = -1, y2 = 6 Therefore the coordinates of B(-1,6)
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