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Square and rectangle.

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Q: What is the names for parallelogram that also has perpendicular sides?
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What shape has diagonals that are perpendicular?

The diagonals of a rhombus are perpendicular. A rhombus is a special kind of parallelogram. It has the characteristics of a parallelogram (both pairs of opposite sides parallel, opposite sides are congruent, opposite angles are congruent, diagonals bisect each other.) It also has special characteristics. It has four congruent sides. So it looks like a lopsided or squished square. Its diagonals are perpendicular. Another property: each diagonal bisects two angles of the rhombus.


Prove that if the diagonal of a parallelogram does not bisect the angles through the vertices to which the diagonal is drawn the parallelogram is not a rhombus?

Suppose that the parallelogram is a rhombus (a parallelogram with equal sides). If we draw the diagonals, isosceles triangles are formed (where the median is also an angle bisector and perpendicular to the base). Since the diagonals of a parallelogram bisect each other, and the diagonals don't bisect the vertex angles where they are drawn, then the parallelogram is not a rhombus.


A quadrilateral that has 4 equal sides?

A square has four equal sides. A parallelogram can also have four equal sides, but not always. (A square is also a type of parallelogram, but not the only one that can have four equal sides.


A trapezoid is also a?

parallelogram?


How is a rectangle a parallelogram?

A parallelogram is defined as a two-dimensional figure with two pairs of parallel sides. Since a rectangle has two pairs of parallel sides, it is also a parallelogram. A rectangle differs from a parallelogram in that it always has four equal angles.

Related questions

Is a parallelogram's diagonals perpendicular?

If the parallelogram happens to also be a rhombus (i.e. has all sides equal in length) then yes, otherwise no.


Name the best classification for a parallelogram with perpendicular diagonals?

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.


Does a rhombus have parallel sides?

Yes. A rhombus has parallel sides. All sides are also congruent, and the diagonals are perpendicular to each other. The rhombus is a special kind of parallelogram, so in addition to all the propeties of a parallelogram, it also has a few properties of its own.


If a puadrilateral is paralleogram and the diogonals are perpendicular then it must be a rectangle?

Not necessarily; a rhombus has 2 pairs of opposite sides which are parallel, like the parallelogram, and its diagonals are perpendicular. (It also has all its sides of the same length.)


What is the shape that has the same formula for area as a parallelogram?

A rectangle and a parallelogram have the same formula for area:The area of a parallelogram is given:area = length × widthwhere:length is the length of one of the sides of the parallelogram; andwidth is the perpendicular distance between the side chosen for the length and its parallel side.In the formula for the area of a rectangle, the width (perpendicular distance between the sides given for the length) is also the length of the other two sides.


What shape has diagonals that are perpendicular?

The diagonals of a rhombus are perpendicular. A rhombus is a special kind of parallelogram. It has the characteristics of a parallelogram (both pairs of opposite sides parallel, opposite sides are congruent, opposite angles are congruent, diagonals bisect each other.) It also has special characteristics. It has four congruent sides. So it looks like a lopsided or squished square. Its diagonals are perpendicular. Another property: each diagonal bisects two angles of the rhombus.


How many sides does a paralelogram have?

a parallelogram has 4 sides, it can also be called a quadrilateral.


Does a parallelogram have perpendicular diagonals?

No, not necessarily. It would have to also be a square or a kite in order to have perpendicular diagonals.


What shape has 4 sides. all sides are congurent. opposite sides are parallel. opposite sides are congruent. no angles are right sides.?

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.


Is a pentagon is also a parallelogram?

No because a pentagon has 5 sides whereas a parallelogram has only 4 sides


Why would the formula of area of a parallelogram be similar to a rectangle?

Because the area of a parallelogram is length times perpendicular height and the area of a rectangle is also length times perpendicular height


What is a parallelogram with all sides congruent is called?

It is a rhombus that has 4 equal sides which is also classed as a parallelogram