Given: the coordinates of rhombus wxyz are w(0, 4b), x(2a, 0), y(0, -4b), and z(-2a, 0). prove: the segments joining the midpoints of a rhombus form a rectangle.

to find the midpoint of xy , we need to use the midpoint formula which is

for the given line,xy,

x1=-2a, y1=0, x2=0, y2=-4a

on substituting these values in the formula, we will get

=(-a,-2b)

so the midpoint of xy is (-a,-2b) and hence the correct option is the third option .

hi,

you half the rectangle that you ae asking about so then you would see the scale factor of 1/2 the one u have selected, the one on top is half.

hope this !