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Quadrilaterals

Quadrilaterals. Discover the Kite. What is a kite by definition exactly?. A kite has two pairs of congruent sides that are consecutive A quadrilateral is a kite if and only if it has two distinct pairs of consecutive sides of the same length.

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Quadrilaterals

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  1. Quadrilaterals Discover the Kite

  2. What is a kite by definition exactly? • A kite has two pairs of congruent sides that are consecutive • A quadrilateral is a kite if and only if it has two distinct pairs of consecutive sides of the same length

  3. Where is the Kite on the Quadrilateral Hierarchy? • The kite is unique. • A rhombus and a square can always be a kite, but a kite can not be any of these whenever

  4. The Hierarchy

  5. How do find the sides of a Kite? • Since the definition of a kite says that the two consecutive sides are congruent, if you know one side, you can find the other side consecutive

  6. The Angles That Combine and Intersect. All kites have at least one pair of angle bisectors, but if the kite has a diamond shape, it will have two pairs of equal angle bisectors. The angle that the angle bisectors make when they intersect is 90 degrees. Therefore, the two bisectors are perpendicular to each other.

  7. Lets Try it Together! W know that the intersection is 90 degrees so we know what the angle AED is. To solve for angle ADE, we just subtract (35+90) from 180. Next, since we know the segment DB bisects angles ADC and ABC so angle ADE x2= angle ADC and angle ABC. The same concept goes for angles DAB and DCB.

  8. This presentation has been brought to you by: Lucas Johnson Cheri Cottrell Emily Sauer

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