Question

Determine whether parallelogram JKLM with vertices J(-1, 1), K(4, 1), L(4, 6) and M(-1, 6) is a rhombus, square, rectangle or all three.

Answer 1

I think it's all three?

Answer 2

Did you plot it out?

Answer 3

yes.

Answer 4

The slope is all the same and so is the length

Answer 5

Could you post a picture of the plot?

Answer 6

Slope between every single point?

Answer 7

What are the interior angles on a square?

Answer 8

If you're still awake?

Answer 9

on the inside ?

Answer 10

yup

Answer 11

So its a square?

Answer 12

Why would it be that?

Answer 13

Define the parts of a square that make it a square (and sorry if I'm dragging this out)

Answer 14

•All four sides are congruent
•All four angles are congruent (90°)
•Diagonals are congruent
•Diagonals are perpendicular
•Diagonals bisect each angle

Answer 15

those are all the properties that make a square

Answer 16

Did you look at the angles at <JMK and <MKL? Did you measure em?

Answer 17

You plotted (-1,-6) instead of (-1,6) on there. Fix it and it'll be very clear what you're dealing with.

Answer 18

So it is a square thank you(:

Answer 19

1. Use the distance formula to compare the lengths of the diagonals. JL = and KM = The diagonals are congruent; therefore it could be a square or a rectangle.

2. Use the distance formula to find the length consecutive sides. JK = 5 and KL = 5. The consecutive sides are congruent; therefore it could be a square or a rhombus. The parallelogram is a rhombus, square and a rectangle.