Yes, they do.
The diagonals of a square (which always bisect each other) are the same length.
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.
In a quadrilateral, the diagonals do not have to bisect each other or be perpendicular. These properties hold true for specific types of quadrilaterals, such as rectangles (where diagonals bisect each other and are equal) and rhombuses (where diagonals bisect each other at right angles). However, in general quadrilaterals, the diagonals can have various lengths and angles without conforming to these conditions.
The diagonals are equal in length and bisect each other forming vertical opposte equal angles
Yes, the diagonals of a parallelogram bisect each other.
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.
If the diagonals of a parallelogram bisect its angles, then the parallelogram is a rhombus. In a rhombus, all sides are equal, and the diagonals not only bisect each other but also the angles at each vertex. This property distinguishes rhombuses from other types of parallelograms, such as rectangles and general parallelograms, where the diagonals do not necessarily bisect the angles. Thus, the statement implies a specific type of parallelogram.