22 The points A(1, 1) and C(8, 8) form the opposite ends of the diagonal of rhombus ABCD. a Using the fact that each diagonal of a rhombus perpendicularly bisects the other, find the equation of the line BD. b If the gradient of line segment AB is 4, find the coordinates of B and D. c Find the length of each side of the rhombus. 23

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.1: Rectangular Coordinate Systems
Problem 1E
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22 The points A(1, 1) and C(8, 8) form the opposite ends of the diagonal of rhombus ABCD.
a Using the fact that each diagonal of a rhombus perpendicularly bisects the other, find the equation of the line
BD.
b If the gradient of line segment AB is 4, find the coordinates of B and D.
c Find the length of each side of the rhombus.
23
Transcribed Image Text:22 The points A(1, 1) and C(8, 8) form the opposite ends of the diagonal of rhombus ABCD. a Using the fact that each diagonal of a rhombus perpendicularly bisects the other, find the equation of the line BD. b If the gradient of line segment AB is 4, find the coordinates of B and D. c Find the length of each side of the rhombus. 23
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