Q: Does a trapezoid diagonals bisect the angles?

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no

A trapezoid Trapezoid - 2 congruent diagonals that do not bisect each other. No right angles and has 1 pair of opposite parallel sides.

No.

No, a rectangle's diagonals do not bisect opposite angles.

The diagonals of a rectangle bisect the angles only if the rectangle is a square.

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no

yes

trapezoid

A trapezoid Trapezoid - 2 congruent diagonals that do not bisect each other. No right angles and has 1 pair of opposite parallel sides.

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.

No.

No, a rectangle's diagonals do not bisect opposite angles.

In rhombuses and squares the diagonals bisect opposite angles.

Not for every parallelogram. Only for a rhombus (diamond) or square will the diagonals bisect the opposite angles they connect, and diagonals are perpendicular. In rectangles, the diagonals do not bisect the angles and are notperpendicular, but they do bisect each other.

The diagonals of a rectangle bisect the angles only if the rectangle is a square.

No, the diagonals of a parallelogram do not necessarily bisect the angles. The diagonals of a parallelogram divide it into four congruent triangles, but they do not necessarily bisect the angles of those triangles.