Question

show that the points K(2,4), L(4,2), M(2,-2) and N(-2,2) form the vertices of a trapezium

Answer 1

thanks..........

Answer 2

Do you know how to prove this is a quadrilateral?

Answer 3

Yes, I can help. Please wait while I go over your question.

Answer 4

yes, a quadrilateral is just a 4 sided figure so by definition, 4 vertices make this a quadrilateral

Answer 5

but we need to show that this is a trapezium, right? I wouldn't say we need to prove it's a quadrilateral

Answer 6

because that is basically given they're asking to show it's a trapezium, right?

Answer 7

Okay @shree.gor !
As we have 4 points given already we know that it HAS to be a quadrilatral@
And to prove that it is a trapezium just find the slopes of all the sides!
And 2 sides' slopes would be the same [Showing that they are parrallel]
Thus, we get the required Quadrilateral with 1 pair parallel lines [A Trapezium]
Got it? :D