SOLUTION: If you are asked to show using slopes that the given four points, say A, B, C, D (with their corresponding coordinates), are the vertices of a parallelogram, how would you do it?

Question 768829: If you are asked to show using slopes that the given four points, say A, B, C, D (with their corresponding coordinates), are the vertices of a parallelogram, how would you do it?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
If you are asked to show using slopes that the given four points, say A, B, C, D (with their corresponding coordinates), are the vertices of a parallelogram, how would you do it?
-------------------------
Plot the points.
Find slopes of opposite sides AB and CD
If the slopes are the same AB and CD are parallel.
---------------------
Find slopes of opposite sides AD and BC
If the slopes are the same AD and BC are parallel.
--------------
If both pairs (above) are respectively parallel, ABCD is a parallelogram.
=================
Cheers,
Stan H.
================
RELATED QUESTIONS
Is the line through points P(1, 9) and Q(9, 6) perpendicular to the line through points... (answered by ewatrrr,Alan3354)

Fundamental Ideas Points, Lines, and Planes Postulates and Theorems Segments,... (answered by richard1234)

Show that the points A=(2,5), B=(6,1), C=(8,-1) lie on a line by using... (answered by nyc_function)

Show by means of slopes that the four points (0,0), (-2,1), (3,4), and (5,3) are vertices (answered by greenestamps)

31% of adults say cashews are their favorite kind of nut. You randomly select 12 adults... (answered by jim_thompson5910)

38% of adults say cashews are their favorite kind of nut. You randomly select 12 adults... (answered by Boreal,stanbon)

Given a number Y,you are asked to show if there are two consecutive numbers X and X+1... (answered by ikleyn)

William has scored a total of 235 points on the first three math tests taken in his... (answered by mananth)

Given points A(0,0) B(4,8) and C(6,2) are the vertices of triangle ABC. A. Show that... (answered by ewatrrr)