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Common Core Standard: 6.G.1 7.G.6 6th Grade Math 7th Grade Math
Questions answered in this video...
What is a kite?
What are the properties that make a kite unique?
What does two congruent consecutive sides mean?
Related sites/Definition of a Kite in Geometry
A kite has four sides
A kite is a quadrilateral
A kite is two dimensional.
The sides of a kite that are next to each other are congruent.
In the picture this is highlighted with the red and blue lines.
The diagonals of a kite are perpendicular to one another. This results in the diagonals creating right angles.
The longer diagonal also cuts the shorter diagonal in half.
The longer diagonal is also an angle bisector to the top and bottom angles.
The angles that are opposite each other, and between the two different length sides,
are congruent (equal).
The two green circles highlight the two congruent angles. Notice the two angles are between the different length legs, however the sum of all four interior angles equals 360 degrees.
The formula for finding the perimeter = a + a + b + b
The formula for finding the area of a kite shape =
1/2(d1 x d2)
Definition of Kite in Geometry
Kite in Geometry Characteristic Checklist
What are the properties of a kite quadrilateral? A kite shape has each of the following characteristics.
In order for a Quadrilateral to be classified as a Kite at least one of these conditions must be true:
- One diagonal divides the Quadrilateral into two triangles that are mirror images of one another.
- The Quadrilateral must have two pairs of adjacent, disjointed sides that are equal. Disjointed means that one side can’t be used in both pairs of sides.
- One diagonal is the perpendicular bisector of the other diagonal. In other words, divides it in half, and creates four right angles.
- One pair of opposite angles is bisected by one diagonal.