SOLUTION: The points (-4, -3), (1,4), (4, 2) and (-1, -5) are vertices of a quadrilateral. Use slopes to explain why the quadrilateral is a parallelogram.

Question 916718: The points (-4, -3), (1,4), (4, 2) and (-1, -5) are vertices of a quadrilateral. Use slopes to explain why the quadrilateral is a parallelogram.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Hint:

Let's label the points A,B,C,D

A = (-4, -3)
B = (1,4)
C = (4, 2)
D = (-1, -5)

If you can show that segment AB is parallel to segment CD

AND

If you can show that segment BC is parallel to segment AD

then ABCD is a parallelogram. Use the slope formula to calculate the slopes.
RELATED QUESTIONS
[Quadrilateral] If the oppisite sides of a quadrilateral are use parallel, then it is a... (answered by josmiceli,MathLover1)

Show by means of slopes that the four points (-4,-1), (3,8/3), (8,-4), and (2,-9) are... (answered by KMST)

The vertices of a quadrilateral are (�2, 3), (4, 3), (�1, �1), and (5, �1). What... (answered by Fombitz)

Find the area of a quadrilateral having the points (-3, 4), (-2, -1), (4, 4) and (0, 5)... (answered by Alan3354,ikleyn)

find the are of a quadrilateral having points (5,2), (4,3), (2,4), (-8,-1) as consecutive (answered by math_tutor2020,ikleyn,Alan3354)

use slopes to show that the quadrilateral whose vertices are (1.-1), (4,1),(2,2), and... (answered by sachi,MathLover1)

MATH 10 PERFORMANCE TASK NO.2 DIRECTION: Gwen the length of the sides of the... (answered by Alan3354)

Find the slopes of the two diagonals of the quadrilateral with vertices at the points... (answered by Alan3354)