1. 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

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

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

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

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

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

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

8. 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.

9. Special Right Triangles 400
768√3 m2

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

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

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

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

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

15. 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

16. 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

17. 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

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

19. 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

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

21. 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 =

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

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

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

25. 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

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

27. 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

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

29. First find the height using the Pythagorean theorem
Triangles 400
  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)
= ft2

30. 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?

31. Triangles 500
55%

32. 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.

33. 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

34. 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.

35. 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

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

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

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

39. 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)

40. 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?

41. Trapezoid Rhombus Kite 500
50%

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

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

44. 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

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

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

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

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

49. Circles400
7.125 cm2

50. 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

51. Circles500
1/4

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

53. 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

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

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

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

57. Polygons 300
310.5 cm2

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

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

60. 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

61. 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 ( ).