Question

Geometry Help!

Answer 1

verify that parallelogram ABDC with verticals A(-5,-1),B(-9,6)C(-1,5)D(3,-2) is a rhombus by showing that it is a parallelogram with perpendicular diagonals

Answer 2

to verify that parallelogram is rhombus you have all the edges equals

Answer 3

is there a formula I have to work out?

Answer 4

which mean to find the distance of the 4 points or the4 edges you find that they are equals;

Answer 5

ds = sqrt(x1-x2)^2 +(y1-y2)^2

Answer 6

is that the formula?

Answer 7

the edges of parallelogram Ab bC CD AD

Answer 8

let's find one edge AD;
A(-5,-1) and D is (3,-2)

Answer 9

im sry im like so confused is that the answer or is there something I need to work out?

Answer 10

there is another ways easy

Answer 11

what am I suppose to do?

Answer 12

the slope of AC and BD in multiply have to equal to -1

Answer 13

parallelogram with perpendicular diagonals is rhombus

Answer 14

is that the answer

Answer 15

@surjithayer the first condition is rhombus

Answer 16

so is that what I have to write ab=bc=cd=ad

Answer 17

you have 2 answer ,
one in finding the distances of 4 edges ( this long )

Answer 18

the second one is to proof the slope of AC * BC =-1

Answer 19

I do that by using the formula you gave me

Answer 20

Can I solve the short way here then you solve alone the long way ?

Answer 21

for rhombus third condition.

Answer 22

the first condition give you rhmbos

Answer 23

no,it can or cannot.

Answer 24

if all the edges equal , then or rumbus or square

Answer 25

what first condition

Answer 26

if all the edges is equal

Answer 27

every two parallel edges equals then this give you parallelogram

Answer 28

it can be a parallelogram,rhombus or square.

Answer 29

this is so hard what exactly do I have to write

Answer 30

@surjithayer this is right now

Answer 31

for rectangle or square diagonals are also equal.

Answer 32

@School5678 you have find the dstances of all the edges and find that they are equal

Answer 33

rhombus ,square ,rectangle are all parallelogram with different conditions.

Answer 34

or you find the slope of AC * BC = -1

Answer 35

and how do I do that

Answer 36

first of all after drawing the parallelogram you will find the AC and BD is digonals

Answer 37

find slope of AC
find the slope of BD

Answer 38

the slope is -1

Answer 39

slope of AC = 6/4 =3/2

Answer 40

slope of BD is = -2/3

Answer 41

what do these slopes mean in terms of quadrilateral?

Answer 42

the slope of line ,( tang alpha with axis X)
or you can see think about the slope of two edges (the angle between them)

Answer 43

for example the slope of 2 edges in square make 90 degrees

Answer 44

so I could say that

Answer 45

but if you take another shape for example 2 edges in rhombus you will see that the 2 edges dont create a 90 degrees

Answer 46

then slope of 2 edges determine the angle between them ( include the the cross of them)

Answer 47

im still not understanding

Answer 48

O.K the slope of edge with another is determine the angle between them