geometry 11.2 big idea: compute areas of trapezoids, rhombuses and kites

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Geometry 11.2 Geometry 11.2 Big Idea: Compute Areas Big Idea: Compute Areas of Trapezoids, Rhombuses of Trapezoids, Rhombuses and Kites and Kites

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Page 1: Geometry 11.2 Big Idea: Compute Areas of Trapezoids, Rhombuses and Kites

Geometry 11.2 Geometry 11.2 Big Idea: Compute Areas of Big Idea: Compute Areas of Trapezoids, Rhombuses and Trapezoids, Rhombuses and

KitesKites

Page 2: Geometry 11.2 Big Idea: Compute Areas of Trapezoids, Rhombuses and Kites

Theorem 11.4: Area of a Trapezoid½ the product of the height (┴ distance

between its bases) and the sum of the bases

A = ½ h(b1 + b2)

Page 3: Geometry 11.2 Big Idea: Compute Areas of Trapezoids, Rhombuses and Kites

Theorem 11.5: Area of a Rhombus½ the product of the lengths of the

diagonals

Page 4: Geometry 11.2 Big Idea: Compute Areas of Trapezoids, Rhombuses and Kites

Theorem 11.6: Area of a Kite½ the product of the lengths of its

diagonals

Page 5: Geometry 11.2 Big Idea: Compute Areas of Trapezoids, Rhombuses and Kites

Example: Find the area.

Page 6: Geometry 11.2 Big Idea: Compute Areas of Trapezoids, Rhombuses and Kites

Example: The diagonals of the kite below are 14 inches and 6 inches. Find the area.

Page 7: Geometry 11.2 Big Idea: Compute Areas of Trapezoids, Rhombuses and Kites

Example: Find the area.