Rectangle
The diagonals of a square bisect each other at 90 degrees
Yes. Because the diagonals are perpendicular to each other and intersect at their midpoints, they bisect each other.
No, the diagonals of a trapezoid do not necessarily bisect each other. Only in an isosceles trapezoid, where the two non-parallel sides are congruent, will the diagonals bisect each other. In a general trapezoid, the diagonals do not bisect each other.
Square, rhombus and a kite have diagonals that bisect each other at 90 degrees
Trapezoid.
Only for a square or rhombus (diamond shape). The diagonals of a rectangle bisect each other, but are not perpendicular and do not bisect the opposite angles they join.
Rectangle
Yes, the diagonals of a parallelogram bisect each other.
The diagonals of a square (which always bisect each other) are the same length.
The diagonals of a square bisect each other at 90 degrees
Yes the diagonals of a kite bisect each other at 90 degrees.
Yes. Because the diagonals are perpendicular to each other and intersect at their midpoints, they bisect each other.
Not necessarily - the diagonals of a rhombus bisect each other (they are perpendicular bisectors of each other), but are not equal.
An isosceles trapezoid, or any trapezoid, does not have diagonals that bisect each other.
No, the diagonals of a trapezoid do not necessarily bisect each other. Only in an isosceles trapezoid, where the two non-parallel sides are congruent, will the diagonals bisect each other. In a general trapezoid, the diagonals do not bisect each other.
Square, rhombus and a kite have diagonals that bisect each other at 90 degrees