Yes. A parallelogram is effectively a rectangle that doesn't have right angles.
No, a quadrilateral with congruent diagonals but no right angles is not necessarily a parallelogram. In order for a quadrilateral to be classified as a parallelogram, it must have both pairs of opposite sides parallel. The property of having congruent diagonals does not guarantee that the sides are parallel, so the quadrilateral may not be a parallelogram.
If one angle is right, then all angles are right. The diagonals of a parallelogram bisect each other. Opposite angles are congruent. Opposite sides are congruent. Consecutive angles are supplementary.
A parallelogram with no right angles and four congruent sides is a Rhombus.
Yes. This is true because opposite angles are congruent and adjacent angles are supplementary.
A rhombus is a parallelogram with all four sides congruent to each other with no right angles. A square is a parallelogram with four congruent sides and four right angles.
A square has 4 congruent sides and 4 right angles, in addition to having all of the properties of a parallelogram. A kite is not a parallelogram. It has two pairs of consecutive congruent sides, and a pair of congruent opposite angles.
A rhombus (4 congruent sides, diagonals perpendicular)that is not also a square (no right angles), andis also a parallelogram (opposite sides parallel and congruent, opposite angles congruent). It is also a quadrilateral, which has 4 sides.
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???
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No. If the diagonals of a parallelogram are congruent then it must be a rectangle (or square).
A square is the parallelogram that has all sides congruent. A square also has four angles that are all right angles.