SOLUTION: Dear Math Tutor, Please help me with: A quadrilateral ABCD is formed by points A(-3,2), B(4,3), C(9,-2) and D(2,-3) (a) Show that all four sides are equal (b) Show that ABCD

Algebra.Com
Question 871119: Dear Math Tutor,
Please help me with: A quadrilateral ABCD is formed by points A(-3,2), B(4,3), C(9,-2) and D(2,-3)
(a) Show that all four sides are equal
(b) Show that ABCD is not a square
(a) I used the distance formula and worked outed that AB, BC,CD, DA are all equal to square root of 50, which makes this a rhombus but how do I prove that its not a square? slope maybe?
With Gratitude,
Nats

Answer by mananth(16946)   (Show Source): You can put this solution on YOUR website!
Check for AC & BD
they will not be equal if it is a rhombus

RELATED QUESTIONS

A quadrilateral ABCD is formed by the points A(-3,2),B(4,3),C(9,-2) and D(2,-3) (a)show... (answered by Alan3354,solver91311)
Given points A(3, 3), B(3, -2), C(-1, -1), D(-1, 4). Determine whether quadrilateral ABCD (answered by jim_thompson5910)
quadrilateral ABCD with A(4,2),B(4,-2)C(-1-3),and D(-3,2) translate 3 unit... (answered by Z)
Dear Math Tutor, Show that the triangle formed by the points (-2,5), (1,3) and (5,9)... (answered by htmentor)
quadrilateral abcd has vertices a(-3 2) b(-1 5) c(5 1) and d(3 -2). prove that abcd is a... (answered by robertb)
please help me with this problem:Given: Quadrilateral ABCD with vertices A(-5, 0), B(3,... (answered by addingup)
Quadrilateral ABCD has vertices A(-3,1), B(1,4), C(4,0), and D(0,-3). Prove that... (answered by Boreal)
The coordinates of the vertices of a quadrilateral ABCD are A(-2,3), B(3,3), C(3,-2), and (answered by pmesler)
Quadrilateral ABCD has coordinates A(2,3) B(7,10) C(9,4) and D(4,-3). Prove that... (answered by solver91311)