Table of Contents
Which quadrilateral has equal and perpendicular diagonals?
rhombus
Solution: (i) If diagonals of a quadrilateral bisect each other then it is a rhombus, parallelogram, rectangle or square. (ii) If diagonals of a quadrilateral are perpendicular bisector of each other, then it is a rhombus or square. (iii) If diagonals are equal, then it is a square or rectangle.
Has four congruent sides and the diagonals are perpendicular?
Rhombus: A quadrilateral with four congruent sides. (Also could be defined as a parallelogram with four congruent sides.) Theorem 6-13.14: A quadrilateral is a rhombus IFF its diagonals are perpendicular.
In which figure diagonals are equal and perpendicular?
2. Rectangle: In a rectangle, opposite sides are equal in a rectangle, all angles in a rectangle are right angles and diagonals are equal and bisect each other. 3. Rhombus: In rhombus, all sides are equal and diagonals are perpendicular bisectors of each other.
What has four sides and diagonals?
All four sides of a square are equal. The diagonals of a square are equal.
Which quadrilateral has diagonals equal?
A parallelogram with one right angle is a rectangle. A quadrilateral whose diagonals are equal and bisect each other is a rectangle.
Do kites have perpendicular diagonals?
Sal proves that the diagonals of a kite are perpendicular, by using the SSS and SAS triangle congruence criteria.
Which figure has equal diagonals?
Properties of the diagonals in quadrilaterals
| Quadrilateral | Bisecting diagonals | Equal diagonals |
|---|---|---|
| Kite | See note 2 | See note 2 |
| Rectangle | Yes | Yes |
| Rhombus | Yes | No |
| Square | Yes | Yes |
Does rhombus have equal diagonals?
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. The diagonals of a rhombus intersect at equal angles, while the diagonals of a rectangle are equal in length.
What has four equal sides and equal diagonals?
a square has four equal sides and diagnols.
Which has equal sides and equal diagonals?
A rectangle has two pairs of equal sides. It has four right angles (90°). The opposite sides are parallel. The diagonals bisect each other.