What is a quadrilateral that is both a rectangle and a rhombus?

What is a quadrilateral that is both a rectangle and a rhombus?

square
A square can be defined as a rhombus which is also a rectangle – in other words, a parallelogram with four congruent sides and four right angles.

Is a square both a rhombus and a rectangle?

Yes. A square is both a rectangle and a rhombus.

Is a quadrilateral a square if it has 4 congruent sides?

If a quadrilateral has four congruent sides and four right angles, then it’s a square (reverse of the square definition). If two consecutive sides of a rectangle are congruent, then it’s a square (neither the reverse of the definition nor the converse of a property).

Can a quadrilateral be a square and a rectangle?

Square is a quadrilateral with four equal sides and angles. It’s also a regular quadrilateral as both its sides and angles are equal. It can also be seen as a rectangle whose two adjacent sides are equal.

Is every rectangle a rhombus?

No, every rectangle is not a rhombus.

How do you prove a quadrilateral is a rectangle?

How to Prove that a Quadrilateral Is a Rectangle

1. If all angles in a quadrilateral are right angles, then it’s a rectangle (reverse of the rectangle definition).
2. If the diagonals of a parallelogram are congruent, then it’s a rectangle (neither the reverse of the definition nor the converse of a property).

Is a rectangle a quadrilateral yes or no?

Yes. A rectangle is a quadrilateral with 4 right angles. A parallelogram is a quadrilateral with 2 pairs of parallel sides. The opposite sides on every square are parallel, so every square is a parallelogram.

When is a quadrilateral considered to be a square?

Quadrilateral is a square if and only if it is a rhombus. – Mathematics and Statistics Write the negation of the following. Quadrilateral is a square if and only if it is a rhombus. Let p: Quadrilateral is a square. q: It is a rhombus. Then the symbolic form of the given statement is p↔q.

When does a quadrilateral become a rhombus square?

A quadrilateral is a rhombus if and only if it has four congruent sides. A parallelogram is a rhombus if and only if its diagonals are perpendicular. A parallelogram is a rhombus if and only if each diagonal bisects a pair of opposite angles. A quadrilateral is a rectangle if and only if it has four right angles.

When is a quadrilateral a rectangle or a parallelogram?

While the definition states “parallelogram”, it is sufficient to say: “A quadrilateral is a rectangle if and only if it has four right angles.”, since any quadrilateral with four right angles is a parallelogram. If a parallelogram has one right angle it is a rectangle.

What kind of shape has 4 equal sides and 4 equal angles?

In geometry, a square is a regular quadrilateral, which means that it has four equal sides and four equal angles (90-degree angles, or (100-gradian angles or right angles). It can also be defined as a rectangle in which two adjacent sides have equal length.