## xoalyssaxo1 2 years ago 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)

1. xoalyssaxo1
2. xoalyssaxo1

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)

3. xoalyssaxo1

For the second one I have 9,1

4. hba

hello there :)

5. hba

How did you get (9,1) ?

6. hba

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

7. hba

As you get this you can use distance formula from points B and D Because your unknowns are at the same distance .

8. hba

Got it ?

9. hba

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

10. hba

@xoalyssaxo1 Alive ?

11. xoalyssaxo1

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.

12. xoalyssaxo1

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

13. hba

I guess it is (10,1) The distance BD is $\sqrt{65}$

14. hba

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)