Question

Find the length of a diagonal of the rectangle ABCD with vertices A (-3,1), B (-1,3), C (3,-1), and D (1,-3).

•5.7
•6.3
•3.2
•4.5

Answer 1

6.3

Explanation:

Answer 2

We can choose : A ( -3, 1 ) and C ( 3, - 1 ).
So AC is a diagonal of the rectangle ABCD;
The formula for a distance between two points:

`d = \sqrt{( x_(2)- x_(1)) ^(2) +(y _(2) -y _(1) ) ^(2) } \\ d(AC)= \sqrt{(-3-3)^(2) +(-1-1) ^(2) } = \\ = √(36+4) =`
=√40 = 6.32455 ≈ 6.3
Answer: B ) 6.3