Thread: Find the Midpoint

Find the midpoint of each diagonal of a square with side of length s. Draw the conclusion that the diagonals of the square intersect at their midpoints.

HINT GIVEN IN BOOK: Use (0,0), (0,s), (s,0) and (s,s) as the vertices of the square.

Originally Posted by magentarita

Use (0,0), (0,s), (s,0) and (s,s) as the vertices of the square.

Use your hint.

Set them off in non-adjacent pairs.

(0,0) and (s,s)

(0,s) and (s,0)

How do you find the midpoint of the segment adjoining each pair?

Are you saying to use the midpoint formula?

Originally Posted by magentarita

Find the midpoint of each diagonal of a square with side of length s. Draw the conclusion that the diagonals of the square intersect at their midpoints.

HINT GIVEN IN BOOK: Use (0,0), (0,s), (s,0) and (s,s) as the vertices of the square.

Let
A=(0,0)
B=(0,s)
C=(s,s)
D=(s,0)
so diagonals are AC and BD
using midpoint formula
midpoint of AC=(S/2,S/2)
midpoint of BD=(S/2,S/2)
SINCE they have same mid point they also intersect at the midpoint

I got it now.

Thanks