Presentation on theme: "11-2 Areas of Trapezoids, Rhombi, and Kites"— Presentation transcript:
1 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.
2 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.baseleg
3 Classify each quadrilateral as a square, rectangle, rhombus, parallelogram or trapezoid. rectangle, parallelogramtrapezoidsquare, rectangle, rhombus, parallelogramtrapezoidrhombus,parallelogram
4 The area of a trapezoid is the product of half the sum of the bases (b1 and b2) and the height (h).
5 Find the area of the trapezoid 94.55.55 cm14 cm26837.12547.5 cm230
6 SHAVING Find the area of steel used to make the side of the razor blade shown below. Area of a trapezoidh = 1, b1 = 3, b2 = 2.5Simplify.Answer: A = 2.75 cm2
7 Find the area of the side of the pool outlined below. A. 288 ft2B ft2C ft2D. 310 ft2
8 Definitions Rhombus: a quadrilateral with all four sides congruent. Kite: a quadrilateral with exactly two pairs of consecutive congruent sides.
9 The area of a rhombus or kite is ½ of the product of diagonal 1 and diagonal 2. p. 791
10 A. Find the area of the kite. Area of a kited1 = 7 and d2 = 12Answer: 42 ft2
11 B. Find the area of the rhombus. Area of a Rhombus and a KiteB. 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.Step 2 Find the area of the rhombus.Area of a rhombusd1 = 14 and d2 = 18Simplify.2Answer: 126 in2
12 A. Find the area of the kite. A ft2B ft2C ft2D. 117 ft2
13 B. Find the area of the rhombus. A. 45 in2B. 90 in2C. 180 in2D. 360 in2