consider the following points on the cartesian plane. you may not plot the points on the cartesian plane.?

Question

A(-4;-1), B(1;4), C(3; -5), D(-2;-4), E(3;-3),F(1;-1), G(3;5), H(-2;-3) and K(-2;5). which three points lie on a straight line, which four points form a parallelogram, what else can be deduced from the given points. show all calculations and provide an explanation of your method.

you may not plot the points on the cartesian plane and use your ruler to see whether they lie in a straight line, etc or use sketches in any form

Answer 1

AFEH is the parallelagram.

From A to F is distance of 5. Line is parallel to to x axis.
From H to E is distance of 5. Line segment is parallel to x axis.
AH and EF both have slope -1. Therefore are also parallel.

CEG all lie on the line X=3
DHK all line on line X=-2

Answer 2

check your mathematics book dude