Question

Is this correct?

Answer 1

Determine if the quadrilateral JKLM with vertices J(3, 3), K(-5, 2), L(-4, -4) and M(4, -3) is a rectangle, using the distance formula.



my answer:
d = √{[(3 - -5)^2] + [(3 - 2)^2]}

d = √{[8^2] + [1^2]}

d = √{64 + 1}

d = √65



d = √{[(-4 - 4)^2] + [(-4 - -3)^2]}

d = √{[-8^2] + [-1^2]}

d = √{64 + 1}

d = √65



d = √{[(-5 - -4)^2] + [(2 - -4)^2]}

d = √{[-1^2] + [6^2]}

d = √{1 + 36}

d = √37



d = √{[(3 - 4)^2] + [(3 - -3)^2]}

d = √{[-1^2] + [6^2]}

d = √{1 + 36}

d = √37



The quadrilateral is a rectangle, because both pairs of opposite sides are congruent.

Answer 2

@Helpz-Q

Answer 3

Yes you're right! good job:)