Name _______________________ Period



Name _______________________ Period ____ Date_______________

Final Review (1 of 4)

Find the coordinates of the vertices of each figure after the translation described.

1) Triangle ABC with vertices A(-6, -2), B(-1, 1), C(2, -2), translated by (4, 3).

A’______, B’______, C’______

2) Rectangle PQRS with vertices P(-7, 6), Q(-5, 6), R(-5, 2), S(-7, 2), translated 9 units right and 1 unit down.

P’______, Q’______, R’______, S’______

Give the new vertices of each shape after it is reflected over the x-axis and then over the y-axis. (DO NOT GO BACK TO THE ORIGINAL POINTS)

Triangle CAT has vertices C(2, 3), A(8, 2), T(4, -3).

3) x-axis: C’_____, A’_____, T’_____

4) y-axis: C”_____, A”_____, T”_____

Trapezoid TRAP with vertices T(-2, 5), R(1, 5), A(4, 2), P(-5, 2).

5) x-axis: T’_____, R’_____, A’_____, P’_____

6) y-axis: T”_____, R”_____, A”______, P”_____

Find the number of possible outcomes for each situation.

7) A pizza can be ordered with a regular or deep dish crust, and with a choice of one topping, two toppings, or three toppings.

______

8) A quiz has five True/False questions.

______

Two socks are drawn from a drawer which contains one red sock, three blue socks, two black socks, and two green socks. Once a sock is selected it is replaced. Find the probability of each outcome.

9) P(black, green) ______ 10) P(blue, blue) ______

Find the probability of each event if you roll a six-sided die.

11) P(a prime number) _____ 12) P(an even or an odd) ____

13) P( # > 6) _____ 14) P(2 or 3) ____

Use the figure below for numbers 1-4. In the diagram line q [pic]line r.

15) Find [pic]6 if [pic]3 = 42°. _______

16) Find [pic]4 if [pic]3 = 71°. _______

17) Find [pic]1 if [pic]5 = 128°. _______

18) Find [pic]7 if [pic]2 = 83°. _______

Find the value of x in the figure.

19) x = _____

Define each word and draw an example for each.

20) acute triangle -

21) right triangle -

22) obtuse triangle –

23) scalene triangle –

24) equilateral triangle –

25) isosceles triangle -

Define each word and draw an example of each.

26) quadrilateral –

27) parallelogram –

28) rectangle –

29) square –

30) rhombus –

31) trapezoid –

Name _______________________ Period ____ Date_______________

Final Review (2 of 4)

32) Draw an example of a figure that has only two lines of symmetry.

33) Draw an example of a figure that has only three lines of symmetry.

Tell whether the triangles are congruent, similar, or neither. Justify your answer. (use a proportion)

34) 35)

Tell whether the pair of polygons below is similar. Tell why or why not.

36)

Write a proportion for each problem, and then solve. Assume the triangles described are similar.

37) A road sign casts a shadow 14 meters long, while a tree nearby casts a shadow 27.8 meters long. If the road sign is 3.5 meters high, how tall is the tree?

______

38) A 7-foot tall flag stick on a golf course casts a shadow 20-feet long. A golfer standing nearby casts a shadow 16.5 feet long. How tall is the golfer?

______

39) Total number of Degrees in a triangle ____________________

40) Find the values of x & y

a. b.

41) Define & draw an example:

a. complementary:

b. supplementary

Find the supplement and complement of each angel (if possible)

42) 25˚ S= C= 43) 135˚ S= C=________

44) 82˚ S= C= 45) 42˚ S= C=________

46) List & draw an example of the 4 types of angles

| | |

| | |

| | |

| | |

| | |

| | |

| | |

| | |

Find the Area & circumference. Use π = 3.14. (SHOW WORK ON NOTEBOOK PAPER)

47) A = ____________ 48) A = ____________ 49) A = ____________

C = ____________ C = ____________ C = ____________

[pic] [pic] [pic]

Find the Perimeter & Area. (SHOW WORK ON NOTEBOOK PAPER)

50) P = ____________ 51) P = ____________

A = ____________ A = ____________

[pic] [pic]

52) P = ____________ 53) P = ____________

A = ____________ A = ____________

54) P = ____________ 55) P = ____________

A = ____________ A = ____________

Name _______________________ Period ____ Date_______________

Final Review (3 of 4)

Find the area of the shaded region. Use π = 3.14. (SHOW WORK ON NOTEBOOK PAPER)

56) A =_____________________ 57) A = _______________________

[pic]

Find Surface Area & Volume(SHOW WORK ON NOTEBOOK PAPER)

58) SA = ____________ 59) SA = ____________

V = ____________ V = ____________

[pic] [pic]

60) SA = ____________ 61) SA = ____________

V = ____________ V = ____________

[pic] [pic]

62) 63)

[pic] [pic]

64)

[pic]

65) 66)

67) 68)

[pic] ` [pic]

69) 70)

71) Make a stem and leaf plot. Then, find the mean, median, mode, and range of the data set.

2.0, 4.4, 6.2, 3.2, 4.4, 6.2, 3.7

Mean = ______ Median = ______

Mode = ______ Range = _____

72) The table shows the number of glasses of water consumed in one day. Identify the outlier in the data set. Then determine how the outlier affects the mean, median, and mode of the data. Then tell which measure of central tendency best describes the data with and without the outlier.

|WATER CONSUMPTION |

|Name |Randy |Lori |

| | | |

| | | |

80) [pic]

81) The area of a triangle is 64 square inches and the height is 8. Find the base.

82) The volume of a rectangular prism is 112 cubic meters. The height is 8 meters and the

width is 2 meters. Find the length.

83) The diameter of a cylinder is 4 cm. The height is 8 cm. Find the volume in terms of pi.

Solve.

84) -2a – 9 = 39

85) [pic]

86) -78 = - y

87) [pic]

88) Evaluate. -98 + (-2)(-8) - 4

Solve.

89) 10x – 8 + 2x + 18 = 46

90) 9x – 4 – 7x – 3 = 9

91) 4(x – 7) = 14

92) -3(x - 4) = -24

93) The table below shows the different sizes of square gardens Charlie can build.

[pic]

Which graph shows the correct relationship between the side length and perimeter of each square garden Charlie can build?

[pic]

-----------------------

q

r

1

2

3

4

5

6

7

8

(3x – 8)°

107°

5 cm

5 cm

8 cm

8 cm

75°

50°

55°

50°

2 cm

4 cm

5 cm

10 cm

................
................

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download