Determine whether parallelogram JKLM with vertices J(-7, -2), K(0, 4), L(9, 2) and M(2, -4) is a rhombus, square, rectangle or all three.
A. rhombus
B. square
C. rectangle
D. rhombus, square and rectangle

Question

Determine whether parallelogram JKLM with vertices J(-7, -2), K(0, 4), L(9, 2) and M(2, -4) is a rhombus, square, rectangle or all three.
	A.	rhombus
	B.	square
	C.	rectangle
	D.	rhombus, square and rectangle

anonymous · Answer

This would be a rhombus, because in order for something to be a rhombus, its diagonals must be perpendicular. So you would find the slope of points K and M, which would give you -4. Next find the slope of points J and L, which would give you 1/4. See if the slopes, -4 and 1/4 are perpendicular, which means they have opposite reciprocals. And they do, so that means this is a rhombus. A