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Why can all squares be classified as parallelograms but not all parallelograms can be classified as squares?

A parallelogram is a four-sided figure with opposite sides parallel. Squares and rectangles are two examples of parallelograms. A square is a four-sided figure that has four equal sides, and opposite sides are parallel.


What shape is a square but not a parelellogram?

No shape is a square but not a parallelogram as all squares are parallelograms: All parallelograms have opposite sides parallel and of equal length, and opposite angles are equal. All squares have opposite sides that are parallel and of equal length, and opposite angles are equal; thus all squares are parallelograms. However, all squares also have all angles equal to 90o and all four sides equal, but some parallelograms have angles not all 90o and/or not all four sides of equal length; thus not all parallelograms are squares.


Do all squares have only 1 set of parallel sides?

No, all squares have two sets of parallel sides. A square is a special type of rectangle where all four sides are equal in length and each angle is 90 degrees. Thus, opposite sides are both parallel and equal in length, resulting in two distinct sets of parallel sides.


A quadrilateral whose opposite sides are parallel and opposite angles are congruent and that has four congruent sides is a?

this would be a rhombus. rhombuses are parallelograms (four-sided shapes with opposite sides parallel) that have all equal side lengths. squares are included as rhombuses.


Do all quadrilaterals have opposite sides parallel?

No, only trapeziums (1 pair), parallelograms and squares (both pairs)

Related Questions

Do all squares have two pairs of opposite sides that are parallel?

Yes.


Why can all squares be classified as parallelograms but not all parallelograms can be classified as squares?

A parallelogram is a four-sided figure with opposite sides parallel. Squares and rectangles are two examples of parallelograms. A square is a four-sided figure that has four equal sides, and opposite sides are parallel.


What is a plain figure in which all of the angles are right angles opposite sides are parallel and opposite sides are equal?

rectangles squares


What shape is a square but not a parelellogram?

No shape is a square but not a parallelogram as all squares are parallelograms: All parallelograms have opposite sides parallel and of equal length, and opposite angles are equal. All squares have opposite sides that are parallel and of equal length, and opposite angles are equal; thus all squares are parallelograms. However, all squares also have all angles equal to 90o and all four sides equal, but some parallelograms have angles not all 90o and/or not all four sides of equal length; thus not all parallelograms are squares.


Do all squares have only 1 set of parallel sides?

No, all squares have two sets of parallel sides. A square is a special type of rectangle where all four sides are equal in length and each angle is 90 degrees. Thus, opposite sides are both parallel and equal in length, resulting in two distinct sets of parallel sides.


Do parallelograms have to be squares?

No.Parallelograms have two pairs of parallel opposite sides; they do not have to be the same length.The opposite angles of a Parallelogram are equal; they do not have to be 90oA square is required to have all sides equal (opposite sites will be parallel) and all angles 90o (opposite angles are the same)Thus all squares are parallelograms, but only some parallelograms are squares.A rhombus is a parallelogram which has all sides the same length.


A quadrilateral whose opposite sides are parallel and opposite angles are congruent and that has four congruent sides is a?

this would be a rhombus. rhombuses are parallelograms (four-sided shapes with opposite sides parallel) that have all equal side lengths. squares are included as rhombuses.


Do all quadrilaterals have opposite sides parallel?

No, only trapeziums (1 pair), parallelograms and squares (both pairs)


What are the types of parallelogram?

A parallelogram has opposite sides parallel and equal in length, and opposite angles are equal. Squares, rectangles and rhombuses are all parallelograms.


What four quadrilaterals have two sets of parallel sides?

The four quadrilaterals that have two sets of parallel sides are rectangles, rhombuses, squares, and parallelograms. All these shapes feature opposite sides that are parallel. While rectangles and squares have right angles, rhombuses and parallelograms do not necessarily have right angles. Each of these quadrilaterals also maintains the property of having equal opposite sides.


What quadrilateral had opposite sides parallel and all sides congruent?

A square's opposite sides are parallel and all the sides are congruent.


Are all squares and triangles parallelograms?

Yes, all squares and rectangles are types of parallelograms since they have opposite sides that are equal and parallel. However, not all triangles are parallelograms, as triangles do not have opposite sides or angles. A parallelogram specifically requires four sides, while a triangle only has three.