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Worksheets

Geometry Problem Solving

Total questions: 70

Worksheet time: 3hrs 28mins

Name
Class
Date
1.

Find the length indicated.

(a)  

2.

Find the length indicated.

(a)  

3.

Solve for x.

(a)  

4.

Solve for x.

(a)  

5.

Solve for x.

(a)  

6.

Solve for x.

(a)  

7.

Solve for x.

(a)  

8.

Solve for x.

(a)  

9.

Find the measurement of the angle indicated for the trapezoid.

(a)  

10.

Find the measurement of the angle indicated for the trapezoid.

(a)  

11.

Write the name of each polygon.

(a)  

12.

Write the name of each polygon.

(a)  

13.

Find the measure of one interior angle in each regular polygon. Round your answer to the nearest tenth if necessary.

(a)  

14.

Find the measure of one interior angle in each regular polygon. Round your answer to the nearest tenth if necessary.

(a)  

15.

Find the interior angle sum for each polygon. Round your answer to the nearest tenth if necessary.

regular 25-gon

(a)  

16.

Find the interior angle sum for each polygon. Round your answer to the nearest tenth if necessary.

regular nonagon

(a)  

17.

Find the measurement indicated in each parallelogram.

(a)  

18.

Find the measurement indicated in each parallelogram.

(a)  

19.

Solve for x. Each figure is a parallelogram.

(a)  

20.

Find the value of x.

(a)  

21.

Find the value of x.

(a)  

22.

Find the value of x.

(a)  

23.

Find the measure of one exterior angle. Round your answer to the nearest tenth if necessary.

(a)  

24.

Find the measure of one exterior angle. Round your answer to the nearest tenth if necessary.

(a)  

25.

Find the measure of one exterior angle in a regular 16-gon. Round your answer to the nearest tenth if necessary.

(a)  

26.

Find the measure of one exterior angle in a regular 24-gon. Round your answer to the nearest tenth if necessary.

(a)  

27.

Find the value of x.

(a)  

28.

Find the value of x.

(a)  

29.

Find the value of x.

(a)  

30.

Find the value of x.

(a)  

31.

Find the missing side of each triangle. Round your answers to the nearest tenth if necessary.

(a)  

32.

Find the missing side of each triangle. Round your answers to the nearest tenth if necessary.

(a)  

33.

Find the missing side of each triangle. Leave your answers in simplest radical form.

34.

Find the missing side of each triangle. Leave your answers in simplest radical form.

35.

Solve each proportion.

(a)  

36.

Solve each proportion.

(a)  

37.

Solve each proportion.

(a)  

38.

Solve each proportion.

(a)  

39.

Find the missing length indicated.

(a)  

40.

Find the missing length indicated.

(a)  

41.

Find the missing length indicated.

(a)  

42.

Find the missing length indicated.

(a)  

43.

Find the missing length indicated.

(a)  

44.

Find the missing length indicated.

(a)  

45.

Find the missing length. The triangles in each pair are similar.

(a)  

46.

Find the missing length. The triangles in each pair are similar.

(a)  

47.

Find the value of sin Z in the triangle.

48.

Find the value of tan C in the triangle.

49.

Find the value of cos A in the triangle.

50.

Find the value of sin Z in the triangle.

51.

Find the missing side. Round to the nearest tenth.

(a)  

52.

Find the missing side. Round to the nearest tenth.

(a)  

53.

Find the missing side. Round to the nearest tenth.

(a)  

54.

Find the missing side. Round to the nearest tenth.

(a)  

55.

Use the information provided to write the equation of each circle. Center: (−14, −6), Radius: 2

56.

Use the information provided to write the equation of each circle. Center: (11, 1), Radius: 3

57.

Find the circumference of each circle. Use your calculator's value of π. Round your answer to the nearest tenth.

(a)  

58.

Find the circumference of each circle. Use your calculator's value of π. Round your answer to the nearest tenth.

(a)  

59.

Find the circumference of each circle. Use your calculator's value of π. Round your answer to the nearest tenth.

(a)  

60.

Find the circumference of each circle. Use your calculator's value of π. Round your answer to the nearest tenth.

(a)  

61.

Find the number of possible outcomes in the sample space.

A soccer player takes two penalty kicks in a game. Each attempt results in a goal or a miss.

(a)  

62.

Find the number of possible outcomes in the sample space.

A spinner can land on either red or blue. You spin and then roll a six-sided die.

(a)  

63.

Find the number of possible outcomes in the sample space.

The chess club must decide when and where to meet for a practice. The possible days are Monday, Tuesday, Wednesday, or Thursday. The possible times are 3, 4, or 5 p.m. There are eight classrooms available.

(a)  

64.

Find the number of possible outcomes in the sample space.

Four rooms in a house need to be painted. Each room can be painted white, yellow, or pink.

(a)  

65.

Find the probability.

You flip a coin and then roll a fair six-sided die. The coin lands heads-up and the die shows a five.

66.

Find the probability.

A basket contains seven apples and seven peaches. You randomly select a piece of fruit and then return it to the basket. Then you randomly select another piece of fruit. The first piece of fruit is an apple and the second piece is a peach.

67.

Write the slope-intercept form of the equation of each line given the slope and y-intercept.

Slope = 6, y-intercept = 1

68.

Write the slope-intercept form of the equation of each line given the slope and y-intercept.

Slope = -5/4, y-intercept = 1

69.

Endpoint: (-10.3,-10.47), midpoint: (-11.3,-8.1)

(a)  

70.

Find the other endpoint of the line segment with the given endpoint and midpoint.

Endpoint: (-2.5, -5.3), midpoint: (-1.3, -11.4)

(a)