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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.
How can you convince me that a rhombus is a parallelogram but a parallelogram is not a rhombus?
A parallelogram requires that opposite sides are parallel and of the same length; it is not a requirement that all four sides are of the same length. A rhombus requires that opposite sides are parallel and all four sides are of the same length. It is possible that a parallelogram can have all four sides of the same length; when it does it now fulfils the requirements of a rhombus, and so is a rhombus. Thus a rhombus is a type of parallelogram (all rhombuses are parallelograms), but there are parallelograms which are not rhombuses (those where there are two sides of one length (opposite and parallel) and the other two sides of a different length).
What do rhombuses and rectangles have in common?
Four sides, two pairs of parallel sides
What quadrilaterals have parallel sides and perpendicular diagonals?
They are squares and rhombuses
What is the difference between trapezoids and rhombus?
The main difference between trapezoids and rhombuses is their shape. A trapezoid has one pair of opposite sides that are parallel, while a rhombus has all sides equal in length. Additionally, a trapezoid can have non-parallel sides of different lengths, while a rhombus always has opposite sides that are parallel to each other.
Do rhombuses always have opposite parallel sides?
YES
Are there any trapezoids that are also rhombuses?
yes - all the rhombuses. By definition a trapezoid has two parallel sides, a rhombus also has two parallel sides - because both pairs of opposite sides are parallel. So all rhombuses are trapezoids (but not all trapezoids are rhombuses)
Does a rhombus have two pairs of parallel sides?
Yes! A rhombuses opposite sides are parrallel
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.
How many parallel sides does a parallelogram have?
in geometry i learned a parallelogram has only 2 pairs of parallel sides each pair of opposite sides is parallel
No rhombuses are trapezoids?
Yes that is correct because a rhombus has 2 pairs of parallel sides whereas a trapezoid has only 1 pair of parallel sides
Why are all rhombuses parelllelagrams?
Because they are both four sided quadrilaterals with opposite parallel sides.
Are rhombus i all square?
every square is a rhombus because the opposite sides of a square are always parallel. Since every angle in a square is 90° the angle between opposite sides is 180° making them parallel
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.
How many pairs of parallel sides does a parallelogram have?
A parallelogram has 2 sets of parallel sides. The opposite sides are equal in length and opposite angles are equal. Examples of parallelograms are squares, rectangles and rhombuses. You can find the perimeter of a parallelogram by doubling the base+side length.
Why is a parallelogram is not necessarily a rhombus?
The definition of a parallelogram is that it has four sides, the opposite sides are congruent and parallel, and opposite angles are congruent. This includes rectangles, squares, rhombuses, etc.The definition of a rhombus states that it is a parallelogram, but more specifically that all sides are congruent.So a rhombus is a parallelogram, but not all parallelograms are rhombuses.
How can you convince me that a rhombus is a parallelogram but a parallelogram is not a rhombus?
A parallelogram requires that opposite sides are parallel and of the same length; it is not a requirement that all four sides are of the same length. A rhombus requires that opposite sides are parallel and all four sides are of the same length. It is possible that a parallelogram can have all four sides of the same length; when it does it now fulfils the requirements of a rhombus, and so is a rhombus. Thus a rhombus is a type of parallelogram (all rhombuses are parallelograms), but there are parallelograms which are not rhombuses (those where there are two sides of one length (opposite and parallel) and the other two sides of a different length).
