One diagonal of a rhombus has endpoints (-10, 1) and (2, 9). what are the endpoints of the other diagonal?

The end points of other diagonal are  (-2, 2) and (-6, 8)

Step-by-step explanation:

The given end points of a diagonal are (-10, 1) and (2, 9)

The given diagonal has mid point:

((-10, 1) +(2, 9))/2

= (-4, 5)

Proposed diagonal must have similar mid points.

The given diagonal has a slope:

= (9-1)/(2-(-10))

= 8/2+10

= 8/12

= 2/3

Proposed diagonal must have a slope that is perpendicular: -3/2

Thus the end points of other diagonal are  (-2, 2) and (-6, 8)

1

step-by-step explanation:

it's the only multiple of both and the least