Question

use the diagonals to determine whether a parallelogram with the given vertices is a rectangle, rhombus, or square. Give all the names that aply..
J(-9, -7) K(-4,-2) L(3,-3) M(-2,-8)

Answer 1

no no that's all wrong

Answer 2

i'm serious guy's..i need help..stephen@west can you help? or someone please?

Answer 3

yes

Answer 4

Graph the four vertices. Check: the length of both diagonals and the slopes of both diagonals.

A rectangle has congruent diagonals. A rhombus has perpendicular diagonals. A square has properties of both a rectangle and a rhombus, so it would have both congruent and perpendicular diagonals.

Answer 5

It's a quadralateral

Answer 6

AccessDenied..isn't it a rhombus?

Answer 7

I haven't checked yet -- I'll go figure it out.

Answer 8

ok

Answer 9

Yes, it is a rhombus.

Answer 10

the slope of J and L = -2/3 and the slope of K and M are -1/2?

Answer 11

J(-9, -7) K(-4,-2) L(3,-3) M(-2,-8)

m(JL) = (y2 - y1) / (x2 - x1)
= (-3 - (-7)) / (3 - (-9))
= (-3 + 7) / (3 + 9)
= 4 / 12
= 1 / 3

m(KM) = (y2 - y1)/(x2 - x1)
= (-8 - (-2)) / (-2 - (-4))
= (-8 + 2) / (-2 + 4)
= (-6)/(2)
= -3/1
= -3

m(KM) * m(KL) = (1/3) * (-3) = -1 (perpendicular)

Answer 12

Thank's! I don't know how i got the slope wrong I wrote it right but got the wrong answer.. :O ..i gett it know! Thank you very much!!! (:

Answer 13

No problem! I should note that I made a small typo on the last line -- it should say, "m(JL)", and not "m(KL)".

Answer 14

Ok thank's!