a square _
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No. If the diagonals of a parallelogram are congruent then it must be a rectangle (or 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.
It can also be a kite. That has two congruent pairs of sides but unlike a parallelogram they are adjacent, not opposite. A parallelogram with congruent diagonals is a rectangle.
No but they do intersect each other at right angles
No, but they intersect each other at right angles
A Parallelogram and a rhombus
A rhombus is a type of a parallelogram and its diagonals are perpendicular which means that they intersect each other at right angles.
The best classification for a parallelogram that has perpendicular diagonals is a rhombus. A rhombus has four sides that are congruent. The also diagonals bisect the vertex angles of this type of parallelogram.
It is a rhombus because its diagonals meet at right angles.
All angles of a parallelogram are not necessarily congruent. A parallelogram means that the opposite sides run in straight lines that don't intersect. An example is a rectangle or square. Length of sides DO NOT determine if opposite angles are congruent. As long as opposite sides do not intersect each other at any point (if you continue to draw the lines), then the angles diagonal from each other are the same.
It is a parallelogram with 4 right angles and it has congruent diagonals that bisect.
A parallelogram is a quadrilateral (4-sided figure) with both pairs of opposite sides parallel. That's usually the primary definition. There are properties common to all parallelograms: opposite sides are congruent, opposite angles are congruent, and diagonals bisect each other. Other special parallelograms have additional properties. A rectangle is a parallelogram with four right angles and its diagonals are congruent. A rhombus is a parallelogram with four congruent sides. Its diagonals are perpendicular and each diagonal bisects two angles of the rhombus. A square is a parallelogram as well. It has four right angles and four congruent sides, so it is also a rectangle and a rhombus. How's that for confusing???