Special Right Triangles Parallel- ograms Triangles Trapezoid Rhombus Kite Circles Polygons 100 100 100 100 100 100 200 200 200 200 200 200 300 300 300 300 300 300 400 400 400 400 400 400 500 500 500 500 500 500

Special Right Triangles 100 . Solve for x & y. x y 60° 12

Special Right Triangles 100 X = 24 Y = 12√3

Special Right Triangles 200 Solve for x & y. x y 45° 12

Special Right Triangles 200 X = 12 √2 Y = 12

Special Right Triangles 300 Solve for x & y. x 18 60° y

Special Right Triangles 300 X = 12 √3 Y = 6 √3

Find the area of a regular triangle whose apothem is 16 m. Special Right Triangles 400 Find the area of a regular triangle whose apothem is 16 m.

Special Right Triangles 400 768√3 m2

Special Right Triangles 500 If the altitude of an equilateral triangle is 30cm, find the area and the perimeter of the triangle.

Special Right Triangles 500 P = 60√3 cm A = 300√3 cm2

Parallelograms 100 Find the area of a parallelogram that has a base of 16 in and a height of 5 in.

Parallelograms 100 80 in2 A = base X height = 16 X 5 = 80 in2

Find the area of the parallelogram Parallelograms 200 12 in 3 in 4 in Find the area of the parallelogram

Area of a parallelogram A = base X height = 16 X 3 = 48 in2 Parallelograms 200 48 in2 Area of a parallelogram A = base X height = 16 X 3 = 48 in2

Given the area of a parallelogram is 84 ft2 and is has a base of 12 ft Given the area of a parallelogram is 84 ft2 and is has a base of 12 ft. Find the height. Parallelograms 300

Area = base X height 84 = 12 X h 84/12 = h 7 = h Parallelograms 300 h = 7 cm  Area = base X height 84 = 12 X h 84/12 = h 7 = h

Find the area of the parallelogram. Parallelograms 400 18 mm 10 mm 6 mm Find the area of the parallelogram.

Parallelograms 400 192 mm2 First find the height by using the Pythagorean theorem 62 + b2 = 102 b = 8 Second find the area by plugging in the base and the height. A = 24 X 8 = 192 mm2

Parallelograms 500 5 m 12 m 13 m What is the probability of landing in the shaded region?

Parallelograms 500 72% First find the area of the whole shape. A = 18 X 12 = 216 Second find the area of the parallelogram. A = 13 X 12 = 156 Third find the probability 156/216 = .722222

Triangles 100 Find the area of a triangle that has a base of 16 in and a height of 9 in.

Area = ½ base X height = ½ 16 X 9 = 72 Triangles 100 72 in2 Area = ½ base X height = ½ 16 X 9 = 72

Triangles 200 Given the area of a triangle is 64 m2 and the base length is 16 m, find the height.

Area of a triangle = ½ base X height Triangles 200 8 m Area of a triangle = ½ base X height 64 = ½ (16 x h) 128 = 16 x h 8 = h

Find the area of the triangle. Triangles 300 13 cm 5 cm 19 cm Find the area of the triangle.

Triangles 300 144 cm2 First find the height of the triangle 52 + b2 = 132 b = 12 cm Plug in the height and the base to find the area A = ½ (12 x 24) A = 144 cm2

Find the area of the equilateral triangle. Triangles 400 16 ft Find the area of the equilateral triangle.

First find the height using the Pythagorean theorem Triangles 400   111.2 ft2 First find the height using the Pythagorean theorem 82 + b2 = 162 b = 13.8 ft Second, find the area A = ½ (16 X 13.8) = 111.2 ft2

What is the probability of landing in the shaded region? Triangles 500 4 cm 5 cm 6 cm What is the probability of landing in the shaded region?

Triangles 500 55%

Find the area of a kite where d1 is 10 cm and d2 is 15 cm. Trapezoid Rhombus Kite 100 Find the area of a kite where d1 is 10 cm and d2 is 15 cm.

Area of a kite = ½ (d1 X d2) = ½ (10 X 15) = 75 cm2 Trapezoid Rhombus Kite 100 75 cm2 Area of a kite = ½ (d1 X d2) = ½ (10 X 15) = 75 cm2

Trapezoid Rhombus Kite 200 Given the area of a rhombus is 253 ft2 and the length of d1 is 11 ft, find the length of d2.

Area of a kite = ½ (d1 X d2) 253 = ½ (11 X d2) 506 = 11d2 46 = d2 Trapezoid Rhombus Kite 200 46 feet Area of a kite = ½ (d1 X d2) 253 = ½ (11 X d2) 506 = 11d2 46 = d2

Find the area of the trapezoid. Trapezoid Rhombus Kite 300 10 cm 5 cm 17 cm Find the area of the trapezoid.

Area of a trapezoid = ½ (b1 + b2)h Trapezoid Rhombus Kite 300 Area of a trapezoid = ½ (b1 + b2)h = ½ (10 + 17)5 = ½ (27)(5) = 67.5 cm2

Find the area of the rhombus. Trapezoid Rhombus Kite 400 10 cm 6 cm Find the area of the rhombus.

First use the Pythagorean Theorem to find the second diagonal Trapezoid Rhombus Kite 400 96 cm2 First use the Pythagorean Theorem to find the second diagonal 62 + b2 = 102 b = 8 d2 = 16 Area of a rhombus = ½ d1 X d2 = ½ (12 X 16)

What is the probability of landing in the shaded region? Trapezoid Rhombus Kite 500 12 cm 8 cm What is the probability of landing in the shaded region?

Trapezoid Rhombus Kite 500 50%

Find the area and circumference of the circle. Circles100 Find the area and circumference of the circle. 17 cm

Circles100 Area = 72.25π cm2 Circumference = 17π cm Area of a circle = πr2 = π(8.5)2 cm2 = 72.25π cm2

Given this circle, what is the arc length of arc AB? Circles200 Given this circle, what is the arc length of arc AB? 45° B 5 m A

Circles200 5π m 4 Arc length = 45° (2π)(5m) 360°

Find the area of the sector Circles300 Find the area of the sector 10 cm 30°

Area Sector = 30° (π)(10cm)2 360° Circles300 25π cm2 3 Area Sector = 30° (π)(10cm)2 360°

Find the area of the segment Circles400 Find the area of the segment 5 cm 90°

Circles400 7.125 cm2

What is the probability of a dart landing in the pink area? Circles500 What is the probability of a dart landing in the pink area? 12 cm

Circles500 1/4

Calculate the area of this regular pentagon Polygons 100 Calculate the area of this regular pentagon 8 ft 7 ft

Area of a regular polygon = ½ asn = ½ (7 X 8 X 5) = 140 ft2 Circles100 140 ft2 Area of a regular polygon = ½ asn = ½ (7 X 8 X 5) = 140 ft2

Polygons 200 10 ft The area of the regular polygon is 240 ft2, find the length of its apothem

Polygons 200 6 ft A = ½ asn 240 = ½ (a X 10 X 8) 480 = 80a 6 = a

Polygons 300 Find the area of a regular decagon with a perimeter of 45 cm and an apothem of 13.8 cm.

Polygons 300 310.5 cm2

Polygons 400 Find the area of this regular polygon, given the following information:. 8 cm 12 cm

Polygons 400 190.8 cm2 First find the apothem using the Pythagorean theorem. Second, plug in what you know to find the area

Find the area of this regular polygon with the given radius: Polygons 500 Find the area of this regular polygon with the given radius: 8 cm

First find the apothem using the special right triangles (45-45-90). Polygons 500 128 cm2 First find the apothem using the special right triangles (45-45-90).