Question

Verify that parallelogram ABCD with vertices A(-5,-1), B(-9,6), C(-1,5) and D(3,-2) is a rhombus by showing that it is a parallelogram with perpendicular diagonals.

Answer 1

Do you need help on drawing it?

Answer 2

yes please

Answer 3

All you need to do is plot those points on a graph.

Answer 4

Connect them, and then draw diagonals linking two adjacent vertices.

Answer 5

The parallelogram bit refers to the rhombus having opposite parallel sides so you also have to clearly identify this in your drawing.

Answer 6

Getting it so far?

Answer 7

kind of

Answer 8

Which part don't you understand?

Answer 9

@vampirediaries have you covered slopes yet?

Answer 10

the part were you said The parallelogram bit refers to the rhombus having opposite parallel sides so you also have to clearly identify this I my drawing.

Answer 11

@ jdoe0001; I've covered slopes in 8th grade and last yr.

Answer 12

so notice in the picture below
the diagonals are perpendicular in a rhombus
notice the diagonals, it's just 2 lines crossing each other PERPENDICULARLY

that only happens if the slope of one line, is the NEGATIVE RECIPROCAL of the other line's slope

Answer 13

so you'd just need to get the slope for the line at BD and the line at AC
and if they're indeed perpendicular, BD's slope will be the negative reciprocal of AC's slope

Answer 14

ok, now I got that part.

Answer 15

so, would that be all that I have to do, after I figure out if ABCD is a rhombus, by the slopes?