Star
The diagonals of a rectangular shape will only bisect opposite angles if, in fact, the shape is a square. Otherwise they will not bisect them.
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.
A shape in which the diagonals bisect two of its angles is a rhombus. In a rhombus, the diagonals not only bisect the angles at the vertices but also are perpendicular to each other, dividing the rhombus into four right triangles. This property is specific to rhombuses and can also apply to squares, which are a special type of rhombus.
A trapezoid Trapezoid - 2 congruent diagonals that do not bisect each other. No right angles and has 1 pair of opposite parallel sides.
square,
Trapezoid.
square
No - only one of the diagonals bisects the angles of the shape.
Rhombuses and parallelograms both have opposite sides that are parallel and equal in length. Additionally, the opposite angles in each shape are equal, and the diagonals bisect each other. In a rhombus, the diagonals are also perpendicular to each other and bisect the angles, which is not necessarily true for all parallelograms.
In a parallelogram, each diagonal divides the shape into two congruent triangles, ensuring that the areas of the resulting triangles are equal. The diagonals also bisect each other, meaning they intersect at their midpoints. Additionally, the diagonals can be used to determine the properties of the parallelogram, such as its symmetry and area.
Rectangle
Squares.