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

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

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter10: Analytic Geometry

Section10.2: Graphs Of Linear Equations And Slope

Problem 44E: Prove that if two lines neither horizontal nor vertical are perpendicular, then the product of their...

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