Question

Show that the points A(2, 2), B(5, 7), C(–5, 13), and D(–8, 8) are the vertices of a rectangle.

Answer 1

It appears that we need to use the Distance Formula. Are you familiar with that?

Answer 2

no

Answer 3

Okay, well the distance formula is \(\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\). Basically, we just need to substitute the points into that

Answer 4

\[\sqrt{34}\] right?

Answer 5

but how do i simplify that

Answer 6

Good, that will be for line AB, now try for line BC

Answer 7

You can't simplify that

Answer 8

so its \[\sqrt{136}\]

Answer 9

Yep :)
now line CD?

Answer 10

\[\sqrt{34}\] so is it B or D

Answer 11

Yep :)
Now lastly, line DA?

Answer 12

so its B right?

Answer 13

Yep :)

Answer 14

Good job!

Answer 15

thnks