Kite
A kite is a four-sided polygon that has two pairs of congruent adjacent sides and one pair of congruent opposite angles
A kite is a four-sided polygon that has two pairs of congruent adjacent sides and one pair of congruent opposite angles. It is a special type of quadrilateral.
A kite can be identified by its properties:
1. Two pairs of adjacent sides are equal in length.
2. One pair of opposite angles are equal in measure.
3. The diagonals are perpendicular to each other, meaning they intersect at a right angle.
4. One of the diagonals bisects the opposite angles.
To further understand these properties, let’s look at a diagram of a kite:
A
/ \
/ \
/ \
B——-C
\ /
\ /
\ /
D
In the above diagram, A, B, C, and D represent the four vertices of the kite. The sides AB, BC, CD, and DA are the sides of the kite, and AC and BD are the diagonals.
Property 1: Two pairs of adjacent sides are equal in length.
In the diagram, AB = AD and BC = CD, making these two pairs of adjacent sides congruent.
Property 2: One pair of opposite angles are equal in measure.
Angle A and angle C are the opposite angles in the kite. These two angles are congruent, meaning they have the same measure.
Property 3: The diagonals are perpendicular to each other.
In the diagram, diagonal AC and diagonal BD intersect at point O. If the diagonals are perpendicular, then angle AOB, angle BOC, angle COD, and angle DOA all measure 90 degrees.
Property 4: One of the diagonals bisects the opposite angles.
In the diagram, diagonal BD bisects angle A and angle C, dividing them into two congruent angles.
These properties make a kite a unique quadrilateral. It is important to understand these properties when working with kites in various math problems or applications.
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