Question

Hi, I just have two questions if you could help by explaining to me so I can finish them it'd be wonderful!

If quadrilateral BDMZ is a rhombus, which of the following ordered pairs could be a vertex?

Segment BD is shown on the coordinate plane. Point B is at -3, 9; and point D is at -7, 2.

(1, -1)

(2, 3)

(1, 3)

(2, 2)

Answer 1

http://gyazo.com/7f400823078e6e682b7f37cc625efcad

Answer 2

f quadrilateral FGHI is an isosceles trapezoid, what is the ordered pair of its missing vertex?

http://gyazo.com/97b3198363e9fd8b091cf0bde1fa9200

(9, 1)

(6, 1)

(10, 1)

(7, 1)

Answer 3

For the second one I have 9,1

Answer 4

hello there :)

Answer 5

How did you get (9,1) ?

Answer 6

For this ques

If quadrilateral BDMZ is a rhombus, which of the following ordered pairs could be a vertex?

Segment BD is shown on the coordinate plane. Point B is at -3, 9; and point D is at -7, 2.


First find distance of BD using distance formula

\[D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\]

Answer 7

As you get this you can use distance formula from points B and D

Because your unknowns are at the same distance .

Answer 8

Got it ?

Answer 9

One of them is at the same distance so we will be using distance formula on your options

The option in which you get a similar distance kaboom it is solved :D

Answer 10

@xoalyssaxo1 Alive ?

Answer 11

Sorry openstudy is being very slow and not loading and I got 9,1 because I tested to see which made the figure and 9,1 and 10,1 did but 10,1 looks even not isocles.

Answer 12

I used the distance formula and got 8 but how does that make two points @hba

Answer 13

I guess it is (10,1)

The distance BD is \[\sqrt{65}\]

Answer 14

Now take one of your options

A)(1, -1)

Check its distance from B(-3,9) and
then
Check its distance from D(-7,2)

If one of them is at the same distance as BD then this option is correct.

If not move on to the other options

B)(2, 3)

C)(1, 3)

D)(2, 2)