The following set of coordinates represent which figure? (7,10) (4,7) (6,5) (9,8)

Let's assume these are the vertices in order and calculated the squared lengths of the sides.  Let's calculate the vector for each side, which is the difference of the endpoints:

(7,10) - (4,7) = (3, 3)

(4,7) - (6,5) =(-2, 2)

(6,5) - (9,8) = (-3, -3)

(9,8) - (7,10) = (2, -2)

We see the pattern: (3,3) = -(-3,-3) and (-2,2) = -(2,-2)

We have two pairs of opposite vectors so we have a parallelogram.

Let's check the dot product of adjacent sides:

(3,3) . (-2, 2) = 3(-2) + 3(2) = 0

Zero dot product, we have perpendicularity. A parallelogram with one right angle is a

Rectangle

The adjacent sides are clearly not congruent  so it's not a square

.

1696 hundred thousand

step-by-step explanation:

start with a line segment pq that we will copy. mark a point r that will be one endpoint of the new line segment. set the compasses' point on the point p of the line segment to be copied. adjust the compasses' width to the point q. the compasses' width is now equal to the length of the line segment pq.

step-by-step explanation: