A kite is a quadrilateral in which two disjoint pairs of consecutive sides are congruent (“disjoint pairs” means that one side can’t be used in both pairs). … The opposite angles at the endpoints of the cross diagonal are congruent (angle J and angle L).
Can a kite have four congruent sides?
Your kite could have four congruent sides. Your quadrilateral would be a kite (two pairs of adjacent, congruent sides) and a rhombus (four congruent sides). Some (but not all) kites are rhombi. If your kite/rhombus has four equal interior angles, you also have a square.
Are all angles of a kite congruent?
A kite is a polygon with four total sides (quadrilateral). The sum of the interior angles of any quadrilateral must equal: degrees degrees degrees. Additionally, kites must have two sets of equivalent adjacent sides & one set of congruent opposite angles.
Does a kite have 2 congruent sides?
Kite properties include (1) two pairs of consecutive, congruent sides, (2) congruent non-vertex angles and (3) perpendicular diagonals.
Are adjacent sides of a kite equal?
A kite is a quadrilateral that has 2 pairs of equal-length sides and these sides are adjacent to each other. Properties: The two angles are equal where the unequal sides meet. … It has 2 diagonals that intersect each other at right angles.
What is a four sided shape with unequal sides called?
Any other polygon is an irregular polygon, which by definition has unequal length sides and unequal angles between sides.
Which angles in a kite are congruent?
The angles between the congruent sides are called vertex angles. The other angles are called non-vertex angles. If we draw the diagonal through the vertex angles, we would have two congruent triangles. Theorem: The non-vertex angles of a kite are congruent.
Are opposite angles equal in a kite?
The two interior angles of a kite that are on opposite sides of the symmetry axis are equal.
Does a kite have right angles?
Thus the right kite is a convex quadrilateral and has two opposite right angles. If there are exactly two right angles, each must be between sides of different lengths. All right kites are bicentric quadrilaterals (quadrilaterals with both a circumcircle and an incircle), since all kites have an incircle.
What is a diagonal of 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.
Can the diagonals of a kite be congruent?
THEOREM: If a quadrilateral is an isosceles trapezoid, the diagonals are congruent. … THEOREM: If a quadrilateral is a kite, the diagonals are perpendicular. THEOREM: If a quadrilateral is a kite, it has one pair of opposite angles congruent.
Why is a rhombus a kite?
A rhombus is a quadrilateral with all sides of equal length. So a rhombus does have two pairs of adjacent sides of equal length and is therefore a kite.
Is a rhombus a kite?
A kite has two sets of adjacent congruent sides. … This means that all Rhombi are kites, but not all kites are rhombi. A square is a rhombus with all right angles. This means that all squares are rhombi (which means they have to be kites), but not all rhombi are squares.
How do you prove a kite?
How to Prove that a Quadrilateral Is a Kite
- If two disjoint pairs of consecutive sides of a quadrilateral are congruent, then it’s a kite (reverse of the kite definition).
- If one of the diagonals of a quadrilateral is the perpendicular bisector of the other, then it’s a kite (converse of a property).
Is Trapezium a kite?
Whether or not a kite is a trapezium depends on the shape of the kite. In the following image of a typical kite shape, the form is a trapezium since…