A parallelogram that is not a rectangle is graphed in a coordinate plane. The endpoints of a diagonal of the parallelogram are (1, -3) and (9,2).
• What could be the coordinates of the endpoints for the other diagonal ?
Explain your reasoning. Be sure to include any geometric theorems you used in your reasoning.

The other diagonal can be anywhere so long as the slope is 5/8 and the endpoints are sqrt(89) distance apart.

I don't know the geometric theorems :( but I hope this first part is helpful

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.

well my understanding of this question is they want you to use the y=14.1x -2.3 and put the coordinates they gave you onto the line segment of   y=14.1x -2.3

step-by-step explanation: