A(0,1), B(1,4), C(4,3) and D(3,0) are vertices of a quadrilateral ABCD. (a)Find the equations of the diagonals AC and BD. (b) show that the diagonals AC and BD bisect each other at right angles( by calculation. (c) find the length of AC and BD.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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A(0,1), B(1,4), C(4,3) and D(3,0) are vertices of a quadrilateral ABCD. (a)Find the equations of the diagonals AC and BD.

(b) show that the diagonals AC and BD bisect each other at right angles( by calculation.

(c) find the length of AC and BD.

(d) what type of equadrilateral is ABCD.

3. Triangle KLM with vertices K(3,-1), L(2,-4), M(6,-1) undergoes a translation T1= (-2/6). The image of K'L'M' under this translation.

Under another translation T2= (-5/-3), the image of K'L'M' is K''L''M''.

(a) represent the three triangles on the same axes.

(b) find the column vector of a single translation T which is equivalent to T1 followed by T2.

  1. (c) find the coordinates of P' the image of a point p(2,2) under T

 

 

 

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