Kites Geometry Chapter 6 A BowerPoint Presentation.

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Presentation transcript:

Kites Geometry Chapter 6 A BowerPoint Presentation

Definition of a kite A kite is a quadrilateral with TWO pairs of consecutive sides but NO pairs of opposite sides.

Definition of a kite A kite is a quadrilateral with TWO pairs of consecutive sides but NO pairs of opposite sides.

Definition of a kite A kite is a quadrilateral with TWO pairs of consecutive sides but NO pairs of opposite sides.

If kite, then diagonals are

In a kite, EXACTLY ONE pair of opp s

The angles are always between the noncongruent sides

In a kite, EXACTLY ONE diagonal is bisected

The diagonal that is bisected is always between the angles

Diagonals of kites (& rhombuses) make right triangles That means we can use the Pythagorean Theorem:

Diagonals of kites (& rhombuses) make right triangles That means we can use the Pythagorean Theorem: Find AB & AD (they’re the same length) – 1 minute!

Diagonals of kites (& rhombuses) make right triangles That means we can use the Pythagorean Theorem: AB = AD = 5

Diagonals of kites (& rhombuses) make right triangles That means we can use the Pythagorean Theorem: Find BC & DC (they’re the same length) – 1 minute!

Diagonals of kites (& rhombuses) make right triangles That means we can use the Pythagorean Theorem: BC = DC = 3 5