In which figure diagonals are equal?

A quadrilateral whose diagonals are equal and bisect each other is a rectangle.

In which the two diagonals are equal?

If the two diagonals of a parallelogram are equal, it is a rectangle. If the two diagonals of a parallelogram are equal, it is a rectangle.

In which figure diagonals are not equal?

The diagonals of a parallelogram are not of equal length. They bisect with each other at the point of intersection with equal sides across the point of intersection.

In which figure diagonals are equal and perpendicular?

In kite, diagonals are perpendicular to each other is as shown in the figure below. A kite is a quadrilateral that has 2 pairs of equal-length sides and these sides are adjacent to each other.

Are diagonals equal in rhombus?

The diagonals of a rhombus intersect at equal angles, while the diagonals of a rectangle are equal in length. The figure formed by joining the midpoints of the sides of a rhombus is a rectangle, and vice versa.

Quadrilaterals - Properties of Diagonals Bisect Equal or at Right Angles

Which quadrilateral has equal diagonals?

Rectangle: all four angles are right angles (equiangular). An equivalent condition is that the diagonals bisect each other, and are equal in length.

Are diagonals equal in rectangle?

A rectangle is a quadrilateral in which all angles are right angles. A rectangle is a parallelogram, so its opposite sides are equal. The diagonals of a rectangle are equal and bisect each other.

Are diagonals equal in square?

Square is a regular quadrilateral, which has all the four sides of equal length and all four angles are also equal. The angles of the square are at right-angle or equal to 90-degrees. Also, the diagonals of the square are equal and bisect each other at 90 degrees.

Are diagonals of trapezium equal?

Are the Diagonals of a Trapezium Equal? No, the diagonals of a trapezium may not be equal. For a trapezium, only 1 pair of its sides are parallel. But, for any quadrilateral to have equal diagonals, two pairs of sides should be parallel like in a square, rectangle, etc.

What happens if the diagonals of a parallelogram are equal?

If the diagonals of a parallelogram are equal, we have proved that it is a rectangle.

In which parallelogram the diagonals are equal and the adjacent sides are equal?

Answer: If adjacent sides of a parallelogram are equal and one of the diagonals is equal to any one of the sides of the parallelogram, then AC : BD = ⎷3 : 1. A parallelogram whose adjacent sides are equal is known as a rhombus.

Which of the following have equal diagonals 1 point a rhombus B Kite C rectangle D All of the above?

➡ Option.B) Rhombus, is a quadrilaterals has two pairs of adjacent sides equal and diagonals intersecting at right angles. A rhombus is a a parallelogram and a quadrilateral whose opposite sides are parallel and opposite angles are equal. The opposite angles of a rhombus are equal to each other.

Are diagonals equal in a kite?

The two diagonals are not of the same length. The diagonals of a kite intersect each other at right angles. It can be observed that the longer diagonal bisects the shorter diagonal. A pair of diagonally opposite angles of a kite are said to be congruent.

What are diagonals in a kite?

The diagonals of a quadrilateral with two pairs of adjacent congruent sides - a kite - are perpendicular; also, bisects the and angles of the kite. Consequently, is a 30-60-90 triangle and is a 45-45-90 triangle.

Are the diagonals of an isosceles triangle congruent?

Like an isosceles triangle, isosceles trapezoids have base angles that are congruent. This means that the two smaller angles are congruent to each other, and the two larger angles are congruent to each other. When diagonals are drawn, the still do not bisect each other.

Are rhombus sides equal?

A rhombus is a special case of a parallelogram. In a rhombus, opposite sides are parallel and the opposite angles are equal. Moreover, all the sides of a rhombus are equal in length, and the diagonals bisect each other at right angles.

What is a rhombus diagonal?

The diagonal of a rhombus is a line segment that joins any two non-adjacent vertices of a rhombus. A rhombus has two diagonals that bisect each other at right angles, thus, they form 4 right-angled triangles which are congruent.

Can diagonal be equal to side?

Answer: No, the diagonal of a square is not equal to its sides. The diagonal of a square is calculated by using the formula: Diagonal of Square (d) = √2 × s, Here 's' is the side of the square. The diagonal formula is calculated by using the Pythagoras Theorem.

Are the 2 diagonals of a rectangle is equal Why?

Yes. The diagonals of a rectangle are of equal length. The two diagonals of a rectangle are the hypotenuse of the two right angled triangles. Since, the height and base of the two triangles are equal, by Pythagoras Theorem, the hypotenuse of the triangles are also equal.

Are the diagonals of a parallelogram?

The diagonals of a parallelogram bisect each other. Each diagonal of a parallelogram bisects it into two congruent triangles. If one pair of opposite sides of a quadrilateral is equal and parallel, then the quadrilateral is a parallelogram.

Are diagonals of rectangle equal and perpendicular?

Diagonals of a rectangle are equal and perpendicular.

Are the 2 diagonals in a quadrilateral equal?

The diagonals of a quadrilateral are equal and bisect each other.

In which quadrilateral diagonals are equal and bisect each other?

A quadrilateral whose diagonals are equal and bisect each other at right angles is called as square.

Is square a rhombus?

This is always true. Squares are quadrilaterals with 4 congruent sides. Since rhombuses are quadrilaterals with 4 congruent sides, squares are by definition also rhombuses.

Is rhombus a kite?

A kite is a quadrilateral whose four sides can be grouped into two pairs of equal-length sides that are adjacent to each other and only one pair of opposite angles are equal. All sides of a rhombus are equal and opposite angles are equal. So, all kites are not rhombuses.