Can a rhombus be a rectangle yes or no?

Can a rhombus be a rectangle yes or no?

A rhombus is defined as a parallelogram with four equal sides. Is a rhombus always a rectangle? No, because a rhombus does not have to have 4 right angles.

Why is a rhombus a rectangle?

The dual polygon of a rhombus is a rectangle: A rhombus has all sides equal, while a rectangle has all angles equal. A rhombus has opposite angles equal, while a rectangle has opposite sides equal.

Can a rhombus be a square?

Square is a rhombus because as rhombus all the sides of a square are equal in length. Even, the diagonals of both square and rhombus are perpendicular to each other and bisect the opposite angles. Therefore, we can say the square is a rhombus.

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What shape is a rhombus and a rectangle?

Both a rhombus and a rectangle are parallelograms.

How is a rhombus and a rectangle alike?

A rhombus and a rectangle have the following similarities: The opposite angles are equal. The diagonals are equal in length and bisect each other. Their opposite sides are equal and parallel.

Is all squares are rhombuses and also rectangles?

The opposite sides of a rectangle are equal in lengths, the four angles of a rectangle are equal to 90 degrees and also the diagonals of a rectangle bisect each other. Therefore, all the squares are rhombuses and also rectangles.

How are rectangle and rhombus alike?

They are both parallelograms, so that they have two pairs of opposite congruent sides, the opposite angles are congruent, the consecutive angles are supplementary (that is they add to 180°), the diagonals bisect each other. The other similarity is that squares are a subset of both rhombus and rectangle sets.

What makes a rectangle different from a rhombus a rectangle from a square a rhombus from a square?

In geometry, you may have learned about squares and the rhombus. For a rectangle, its pair parallel sides are of equal dimension (length or width) while in a square, all the sides are of equal dimensions. By contrast, a rhombus is another parallelogram that, unlike the square, has no right angles.

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Is a rhombus a rectangle pulled out of shape?

A rhombus is a quadrilateral / parallelogram that has FOUR (4) EQUAL SIDES but not necessarily right angles (90°) like a square or a rectangle. NOTE: Because a rhombus is a parallelogram like a rectangle or square, opposite sides are parallel and opposite angles are equal.

Can squares be rectangles?

The answer is Yes. A square is a rectangle because it possesses all the properties of a rectangle. These properties are: Interior angles measure 90∘ each.

Is a rhombus a rectangle sometimes always or never?

The diagonals of a rhombus are equal. Never. There is one right angle in a parallelogram and it is not a rectangle. Always. An equiangular rhombus is a square. Sometimes. The opposite angles of a parallelogram are supplementary.

Can a rectangle be a trapezoid?

Under this definition some trapezoids can be parallelograms, because in this definition all parallelograms are a subset of trapezoids. Since rectangles are a subset of parallelograms, in this definition all rectangles are trapezoids, and therefore some trapezoids are rectangles, as long as they have 4 right angles.

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What is the difference between a square and a rhombus?

Some most important differences between a square and rhombus are : Square has 4 right angles whereas rhombus does not have any right angle The sides of a square are perpendicular to each other whereas the sides of a rhombus are not perpendicular to each other. All the angles of a square are equal whereas only the opposite angles of a square are equal.

Do rectangle or rhombus have all sides the same length?

No , because all four sides of a rectangle don’t have to be equal. However, the sets of rectangles and rhombuses do intersect, and their intersection is the set of squares-all squares are both a rectangle and a rhombus. Click to see full answer. Hereof, which quadrilateral is both a rhombus and a rectangle?