Presentation on theme: "11-2 Areas of Trapezoids, Rhombi, and Kites You found areas of triangles and parallelograms. Find areas of trapezoids. Find areas of rhombi and kites."— Presentation transcript:
11-2 Areas of Trapezoids, Rhombi, and Kites You found areas of triangles and parallelograms. Find areas of trapezoids. Find areas of rhombi and kites.
Definitions A rhombus is a quadrilateral with four congruent sides. (All rhombuses are parallelograms.) A trapezoid is a quadrilateral with exactly one pair of parallel sides. The parallel sides are the bases of the trapezoid, and the nonparallel sides are its legs. base leg
Classify each quadrilateral as a square, rectangle, rhombus, parallelogram or trapezoid. trapezoid rhombus, parallelogram rectangle, parallelogram trapezoid square, rectangle, rhombus, parallelogram
The area of a trapezoid is the product of half the sum of the bases (b 1 and b 2 ) and the height (h).
Find the area of the trapezoid 47.5 cm cm 14 cm 5 cm
SHAVING Find the area of steel used to make the side of the razor blade shown below. Area of a trapezoid h = 1, b 1 = 3, b 2 = 2.5 Simplify. Answer: A = 2.75 cm 2
A.288 ft 2 B ft 2 C ft 2 D.310 ft 2 Find the area of the side of the pool outlined below.
Definitions Rhombus: a quadrilateral with all four sides congruent. Kite: a quadrilateral with exactly two pairs of consecutive congruent sides.
The area of a rhombus or kite is ½ of the product of diagonal 1 and diagonal 2. p. 791
A. Find the area of the kite. Area of a kite d 1 = 7 and d 2 = 12 Answer: 42 ft 2
Area of a Rhombus and a Kite B. Find the area of the rhombus. Step 1 Find the length of each diagonal. Since the diagonals of a rhombus bisect each other, then the lengths of the diagonals are or 14 in. and or 18 in. Answer: 126 in 2 Area of a rhombus Step 2Find the area of the rhombus. d 1 = 14 and d 2 = 18 Simplify. 2
A ft 2 B.58.5 ft 2 C ft 2 D.117 ft 2 A. Find the area of the kite.
A.45 in 2 B.90 in 2 C.180 in 2 D.360 in 2 B. Find the area of the rhombus.
p. 792 Area Formulas
11-2 Assignment Page 793, 8-16 No formulas with numbers in it, no credit