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: 12d

Answer

B(4-a,6-b)

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: (a,b) M=($\frac{x1+x2}{2}$, $\frac{y1+y2}{2}$) (2,3) = ($\frac{a+x2}{2}$, $\frac{b+y2}{2}$) 2 =$\frac{a+x2}{2}$ , 3= $\frac{b+y2}{2}$ x2 =4-a, y2 = 6 -b Therefore the coordinates of B(4-a,6-b)
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