A polygon has vertices whose coordinates are A(1, 4), B(4, -1), C(-1, -4), and D(-4, 1). The diagonals of this polygon bisect each other

True or False?

Question

A polygon has vertices whose coordinates are A(1, 4), B(4, -1), C(-1, -4), and D(-4, 1). The diagonals of this polygon bisect each other

True or False?

jim_thompson5910 · Answer

Hint: the diagonals intersect at (0,0), call this point P

then find the lengths of AP and PC. If they are equal, then the line segment AC is bisected

also find the lengths of DP and PB.  If they are equal, then the line segment BD is bisected