Geometry Kites

Page 1

Geometry Kites


A kite is a member of the quadrilateral family, and while easy to understand visually, is a little tricky to define in precise mathematical terms. A

A kite is a convex quadrilateral with two adjacent sides the same length and the other two adjacent sides the same length.

B D

C


Things I know about kites… 1. 4 sides and 4 angles 4 2. the sum of the interior angle is 360 and the sum of the exterior 116 D angles is 360

3. Two pairs of adjacent sides of a kite are equal in length 4. One pair of opposite angles (the ones that are between the sides of unequal length) are congruent

A 91

4 116

9

9

37

C

B


5. One diagonal bisects the other. They do not bisect each other, however 6. The longer diagonal bisects a pair of opposite angles 7. Diagonals are perpendicular 8. One diagonal divides a kite into two isosceles triangles; the other (the axis of symmetry) divides the kite into two congruent triangles

A

B D

E

C


Dart – Concave quadrilateral with two sets of congruent adjacent sides



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