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Are the diagonals of a kite equal in length?
From Wikipedia: '...a kite, or deltoid, is a quadrilateral with two disjoint pairs of congruent adjacent sides, in contrast to a parallelogram, where the congruent sides are opposite.' In other words, a kite consists of two isosceles triangles joined at the base. Beginning with a particular isosceles triangle, it will always be possible to construct from it one kite that has equal diagonals (given that the kite may be either convex or concave). Hence an infinite number of kites do have equal diagonals, but many do not. A notable example of a kite that does have equal diagonals is a square.
Are the diagonals congruent in a rhombus?
The diagonals are perpendicular, but not necessarily congruent.
A quadrilateral in which adjacent angles are congruent?
A quadrilateral in which adjacent angles are congruent is called a kite. In a kite, the adjacent angles formed by the intersecting diagonals are congruent. This property distinguishes a kite from other types of quadrilaterals, such as a parallelogram or a rhombus, where adjacent angles are not necessarily congruent. Kites have specific properties and characteristics that make them a unique type of quadrilateral in geometry.
What are four attributes of a rhombus?
1. Opposite angles congruent 2. All sides are congruent 3. The diagonals are perpendicular bisectors of each other 4. Diagonals bisect the angles NOTE: Four congruent right triangles are formed with the right angles It has all of the properties of a parallelogram and a kite
Why do diagonals on a kite bisect each other?
Well, honey, diagonals on a kite bisect each other because a kite is a special kind of quadrilateral where the diagonals are perpendicular. So, when two lines are perpendicular, they create right angles, and right angles mean the diagonals bisect each other. It's like a geometry magic trick, but without the rabbit in the hat.
