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 mid - points. use (0,0), (0,s), (s,0), and (s,s) as the vertices 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 .
(type an ordered pair, using integers or fractions.)

Explanation:

Answer:

The mid - point of the diagonal with endpoints \((0,0)\) and \((s,s)\) is \((\frac{s}{2},\frac{s}{2})\)
The mid - point of the diagonal with endpoints \((0,s)\) and \((s,0)\) is \((\frac{s}{2},\frac{s}{2})\)
Conclusion: Since the mid - points of the two diagonals of the square are the same, the diagonals of a square intersect at their mid - points.