Question

find the midpoint of each diagonal of a square with side of length s. draw the conclusion that the diagonals of a square intersect at their midpoints. use (0,0) as one vertex of the square and the axes as two sides of the square.
the midpoint of the diagonal with endpoints (0,0) and (s,s) is $\left(\frac{s}{2},\frac{s}{2}\
ight)$. (type an ordered pair, using integers or fractions.)
the midpoint of the diagonal with endpoints (0,s) and (s,0) is $\left(\frac{s}{2},\frac{s}{2}\
ight)$. (type an ordered pair, using integers or fractions.)
why do the diagonals of a square intersect at their midpoints?
a. they intersect at their midpoints because the diagonals of all quadrilaterals intersect at their midpoints.
b. they intersect at their midpoints because the point shared by both diagonals is also the midpoint of each diagonal.
c. they intersect at their midpoints because the diagonals of a square intersect at all points on the diagonals, including the midpoints.
d. they intersect at their midpoints because the midpoint of one diagonal is a point on the other diagonal.

Explanation:

Answer:

The mid - point of the diagonal with endpoints \((0,0)\) and \((s,s)\): \((\frac{s}{2},\frac{s}{2})\)
The mid - point of the diagonal with endpoints \((0,s)\) and \((s,0)\): \((\frac{s}{2},\frac{s}{2})\)
Why do the diagonals of a square intersect at their midpoints: B. They intersect at their midpoints because the point shared by both diagonals is also the midpoint of each diagonal.