Presentation on theme: "11-2 Areas of Trapezoids, Rhombi, and Kites"— Presentation transcript:
111-2 Areas of Trapezoids, Rhombi, and Kites You found areas of triangles and parallelograms.Find areas of trapezoids.Find areas of rhombi and kites.
2Definitions 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
3Classify each quadrilateral as a square, rectangle, rhombus, parallelogram or trapezoid. rectangle, parallelogramtrapezoidsquare, rectangle, rhombus, parallelogramtrapezoidrhombus,parallelogram
4The area of a trapezoid is the product of half the sum of the bases (b1 and b2) and the height (h).
5Find the area of the trapezoid 94.55.55 cm14 cm26837.12547.5 cm230
6SHAVING 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
7Find the area of the side of the pool outlined below. A. 288 ft2B ft2C ft2D. 310 ft2
8Definitions Rhombus: a quadrilateral with all four sides congruent. Kite: a quadrilateral with exactly two pairs of consecutive congruent sides.
9The area of a rhombus or kite is ½ of the product of diagonal 1 and diagonal 2. p. 791
10A. Find the area of the kite. Area of a kited1 = 7 and d2 = 12Answer: 42 ft2
11B. 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
12A. Find the area of the kite. A ft2B ft2C ft2D. 117 ft2
13B. Find the area of the rhombus. A. 45 in2B. 90 in2C. 180 in2D. 360 in2