Worth 20 the endpoints of one diagonal of a rhombus are (0, -8) and (8, -4). if the coordinates of the 3rd vertex are (1, 0), what are the coordinates of the 4th vertex? (7, -12) (7, -8) (-8, -4) (-4, -12)

Think about this problem as follows:

The rhombus consists of two lines which connecting the endpoints which are intersecting each other. If you have the slopes of these, you can create a relation which says that

where  are the slopes of the lines.

Now you have one slope, which is  which means that the slope of the other one has to be



Given that you have the point (1,0) its trivial to see that this is satisfied by the point (7,-12)

Its worth noting that you want to draw the points, that you have the correct order when you calculate the slope.