Free Printable S2 Exam Mix Practice

1.

What is the midpoint between (3, -1) and (7, -5)

a)

(5, -2)

b)

(10, -6)

c)

(5, -3)

d)

(2, -2)

2.

What is the midpoint of the segment with endpoints (1, 9) and (-3, 5)?

a)

(-1, 7)

b)

(2, 7)

c)

(7, -1)

d)

(2, 2)

3.

On a city grid, a fire department is midway between the police department and town hall. The police department is located at (-10, 65). The town hall is located at (40, 25). What is the location of the fire department?

a)

(15, 45)

b)

(25, 45)

c)

(30, 90)

d)

(50, –20)

4.

How is the distance formula correctly written:

a)

$d\ =\ \sqrt{\left(y_{1\ }-\ y_2\right)^2\ -\left(x_{2\ }-\ x_1\right)^2}\$

b)

$d\ =\ \sqrt{\left(x_{2\ }-\ x_1\right)^2\ +\ \left(y_{2_{\ }}-\ y_1\ \right)^2}$

c)

$d\ =\ \sqrt{\left(y_{1\ }-\ y\ _2\right)^2\ +\ \left(x_{2\ }-\ x_1\right)}^2$

d)

d = $\sqrt{\left(x\right)^2-\ \left(y\right)^2}$

5.

Find the distance between ( 1, 3) and (5, 6)

a)

3

b)

4

c)

5

d)

6

6.

Find the distance between (3, 24) and (7, 56).

a)

32.1

b)

32.2

c)

32.3

d)

32.4

7.

find the perimeter of this triangle

a)

20

b)

40.4

c)

15

d)

22.2

8.

Find the perimeter of the triangle

a)

24.14 square units

b)

15 square units

c)

10 square units

d)

33.21 square units

9.

Write an equation that is perpendicular to 4x – 3y = 6 and passes through the point (8, -3)

a)

y = -3/4x + 4

b)

y = -2x + 13

c)

y = -3/4x + 3

d)

y = -2x - 3

10.

Two lines that are parallel will have ...

a)

Slope that is opposite reciprocals

b)

No slope

c)

Slope that is the same

d)

none of the above

11.

Two lines that are perpendicular lines have ...

a)

Slope that is opposite reciprocals

b)

No Slope

c)

Slope that is the same

d)

none of the above

12.

Determine the equation of the line that is PERPENDICULAR to the line 3x + 12y = 1 and contains the point (-2, 6).

a)

y = 4x + 6

b)

y = 4x + 14

c)

y = 3x + 12

d)

y = -1/4x + 11/2

13.

Find the slope of the line that goes through the points (-8,6) and (7,-3).

a)

1/3

b)

-1/3

c)

-3/5

d)

-5/3

14.

What is the slope of the line represented by $6x-5y=12$

a)

$-\frac{6}{5}$

b)

$\frac{5}{6}$

c)

$\frac{6}{5}$

d)

$-\frac{5}{6}$

15.

What is the slope of the line represented by $5x-9y=14$

a)

$5$

b)

$\frac{5}{9}$

c)

$\frac{9}{5}$

d)

$-9$

16.

Find the slope given the points (5,9) and (1,4) .

a)

5/4

b)

4/5

c)

-5/4

d)

2/3

17.

Find the missing length indicated.

a)

30

b)

25

c)

45

d)

50

18.

Find the missing length indicated.

a)

16

b)

8

c)

10

d)

14

19.

Solve for x.

a)

18

b)

12

c)

6.75

d)

85.3

20.

Find the missing length indicated.

a)

6

b)

10

c)

5

d)

12

21.

Complete the congruence statement.

a)

CRP

b)

PCR

c)

RPC

d)

PRC

22.

Use the congruency statement to answer the following:
<F = ___

a)

<H

b)

<I

c)

<G

d)

not congruent to another angle

23.

Which is a correct congruence statement.

a)

A

b)

B

c)

C

d)

D

24.

Name the corresponding angle or side.

a)

A

b)

B

c)

C

d)

D

25.

Which is not a postulate to prove triangle congruence?

a)

SSA

b)

ASA

c)

SSS

d)

SAS

26.

What postulate is appropriate to use in proving this pair of triangles?

a)

SSS

b)

ASA

c)

SAS

d)

AAS

27.

Are these triangles congruent? If so, which postulate proves they are.

a)

Yes;

SSA

b)

Yes;

HL

c)

Not Congruent

d)

Yes;

SAS

28.

Assuming the triangles are congruent, what is the value of x?

a)

5

b)

4

c)

3

d)

6

29.

WHAT TRIANGLE CONGRUENCE IS ILLUSTRATED?

a)

HYPOTHENUSE-ANGLE

b)

HYPOTENUSE-LEG

c)

LEG-LEG

30.

What is the hypotenuse leg theorem?

a)

If three sides of one triangle are congruent to three sides of another triangle, then these two triangles are congruent

b)

If two right triangles have congruent hypotenuse and legs, they are the congruent to each other

c)

If only one side of a triangle is equal to one other side of another triangle

d)

If there are 2 right angles in 2 triangles, then triangles are equal

31.

Can the HL Congruence Theorem be used to prove the triangles congruent? If so, write a congruence statement.

a)

Yes, △ABC≅△YXW

b)

Yes, △CBA≅△WXY

c)

Yes, △BCA≅△XYW

d)

No

32.

a)

HL

b)

SAS

c)

not congruent

d)

AAS

33.

∠A ≅∠?

a)

∠B

b)

∠E

c)

∠D

d)

∠F

34.

∆ABC≅∆XYZ
which is true?

a)

AB≅XY

b)

AB≅YX

c)

AB≅XZ

d)

BC≅CB

35.

∆EHG≅∆KFC
Which is a true statement?

a)

EH≅FK

b)

HG≅KF

c)

EG≅KC

d)

∠E≅∠C

36.

a)

Congruent by HL

b)

Congruent by SAS

c)

Congruent by SSS

d)

Not Necessarily Congruent

37.

How are the triangles congruent?

a)

HL

b)

SSS

c)

SAS

d)

AAS

38.

Which symbol means congruent?

a)

$\approx$

b)

$\cong$

c)

$=$

d)

$\ne$

39.

a)

1

b)

2

c)

3

d)

4

40.

a)

4

b)

3

c)

2

d)

1

41.

a)

4

b)

3

c)

2

d)

1

42.

If the corresponding sides of congruent triangles measures (5x – 10) yd and (3x+18) yd. What is the value of x?

a)

10

b)

12

c)

14

d)

16

43.

Given this following image, determine the value of x.

a)

5

b)

4

c)

3

d)

2

44.

Determine the value of: sin(C)

a)

7 / 25

b)

24 / 25

c)

25 / 7

d)

24 / 7

45.

Determine the value of: cos(C)

a)

7 / 25

b)

24 / 25

c)

25 / 7

d)

24 / 7

46.

Determine the value of: tan(C)

a)

7 / 25

b)

24 / 25

c)

25 / 7

d)

24 / 7

47.

Consider angle B in the diagram below.

What is the length of "opposite side" to angle B?

a)

6

b)

8

c)

10

d)

not possible to determine

48.

Find the length of side y.

a)

22.32 cm

b)

36.5 cm

c)

76.34 cm

d)

87.76 cm

49.

What is the length of side x?

a)

6.57 cm

b)

7 cm

c)

7.44 cm

d)

26.33 cm

50.

Find the length of side w.

a)

21.4 cm

b)

18.0 cm

c)

36.5 cm

d)

43.6 cm

51.

Find the measure of the indicated angle (?) round to the nearest tenth.

a)

9.4

b)

55.2

c)

20.15

d)

19.4

52.

Choose the correct set up to find the length of the side x.

a)

sin(37)=x/14

b)

cos(37)=x/14

c)

tan(37)=x/14

d)

sin(37)=14/x

53.

What is the correct set up for the problem to solve for side w?

a)

sin 40 = w/28

b)

cos 40 = w/28

c)

tan 40 = w/28

d)

sin 40 = 28/w

54.

Find the measure of the indicated angle. Round to the nearest tenth.

a)

35.8°

b)

43.8°

c)

46.2°

d)

54.2°

55.

Find the measure of the indicated angle. Round to the nearest tenth.

a)

48.9°

b)

60.7°

c)

29.3°

d)

41.1°

56.

Solve for x. Round to the nearest tenth.

a)

103.5

b)

4.7

c)

55.0

d)

23.4

57.

Find the ratio for sinA. (Reduce the fraction)

a)

36/27

b)

4/5

c)

36/45

d)

3/5

58.

What is the correct set up for the problem to find the measure of the indicated angle?

a)

sin X = 41/28

b)

tan X = 41/28

c)

cos X = 28/41

d)

sin X = 28/41

59.

Give the Ratio for SIN X

a)

opp/adj

b)

Adj/hyp

c)

Opp/hyp

d)

adj/opp

60.

Give the Ratio for TAN X

a)

Adj/Opp

b)

Opp/Adj

c)

Adj/Hyp

d)

Opp/Hyp

61.

Give the Ratio for COS X

a)

Adj/Hyp

b)

Opp/Adj

c)

Adj/Opp

d)

Opp/Hyp

62.

Find the ratio for cosA. (Reduce the fraction)

a)

36/27

b)

4/5

c)

27/45

d)

3/5

63.

Determine the value of: sin(C)

a)

7 / 25

b)

24 / 25

c)

25 / 7

d)

24 / 7

64.

What is the green side labelled as from the starred angle?

a)

adjacent

b)

opposite

c)

hypotenuse

65.

What is the green side labelled as using the starred angle as a starting point?

a)

adjacent

b)

opposite

c)

hypotenuse

66.

The side across from the right angle in a triangle is called the ...........

a)

cosine

b)

tangent

c)

hypotenuse

d)

sine

67.

What is the opposite side to <E?

a)

EF

b)

DF

c)

DE

68.

What is the adjacent side to <E?

a)

EF

b)

DF

c)

DE

69.

What is the opposite side to <D?

a)

EF

b)

DF

c)

DE

70.

What is the adjacent side to <D?

a)

EF

b)

DF

c)

DE

71.

What is the ratio of Sin <D?

a)

sin<D = 4/5 = .8

b)

sin<D = 3/5=.6

c)

sin<D = 5/4 =1.25

d)

sin <D = 5/3 = 1.7

72.

Solve for x. Round to the nearest tenth.

a)

9.8

b)

0.1

c)

0.038

d)

9.9

73.

Solve for x. Round to the nearest tenth.

a)

103.5

b)

4.7

c)

55.0

d)

23.4

74.

Find side a?

a)

10

b)

8.08

c)

14

d)

12.12

75.

Find side AB?

a)

20 m

b)

5 m

c)

11.54 m

d)

8.66 m

76.

Find the height(h)?

a)

2000

b)

50

c)

500

d)

1732.05

77.

Solve for x

a)

50.7

b)

50.1

c)

60.7

d)

61.0

78.

Solve for x

a)

5.0

b)

6.1

c)

7.7

d)

6.4

79.

Solve for the missing angle

a)

32°

b)

44°

c)

61°

d)

50°

80.

Find the measure of the indicated angle (?) round to the nearest tenth.

a)

9.4°

b)

55.2°

c)

20.15°

d)

19.4°

81.

What is the correct ratio?

a)

sin 40 = w/28

b)

cos 40 = w/28

c)

tan 40 = w/28

d)

sin 40 = 28/w

82.

Susan is flying a kite, which gets caught in the top of a tree. Use the diagram to estimate the height of the tree.

a)

63 ft

b)

65 ft

c)

74 ft

d)

87 ft

83.

A ramp is being built next to a 4-inch high sidewalk. The ramps angle of inclination is 10 degrees. Estimate the length of the ramp to the nearest tenth of an inch.

a)

4.1 inches

b)

3.9 inches

c)

22.7 inches

d)

0.7 inches

84.

A yacht is anchored 90 feet offshore from the base of a lighthouse. The angle of elevation from the boat to the top of the lighthouse is 26 degrees. The distance between the yacht and the top of the lighthouse is about 100 feet. Which of these is nearest to the height of the lighthouse?

a)

25 feet

b)

45 feet

c)

110 feet

d)

135 feet

85.

A tourist views a deer from a height of 45 feet. The horizontal distance between the tourist and the deer is 130 feet. At what angle (x) should the tourist hold his camera to photograph the deer? Round your answer to the nearest degree.

a)

19 degrees

b)

45 degrees

c)

71 degrees

d)

138 degrees

86.

Which trig function would help you solve for the missing angle?

a)

sine

b)

cosine

c)

tangent

d)

pythagorean theorem

87.

Find BC

a)

24 mi

b)

19 mi

c)

14 mi

d)

21 mi

88.

Find AB

a)

22 yd

b)

28 yd

c)

19 yd

d)

30 yd

89.

Find BC

a)

4 km

b)

10 km

c)

8 km

d)

15 km

90.

What is the measure of angle A?

a)

50 degrees

b)

60 degrees

c)

78 degrees

d)

74 degrees

91.

Find the measure of angle C.

a)

44.3 degrees

b)

51.4 degrees

c)

37.2 degrees

d)

40.1 degrees

92.

Find the measure of angle B.

a)

16 degrees

b)

23 degrees

c)

10 degrees

d)

25 degrees

93.

Find the measure of angle C.

a)

61 degrees

b)

34 degrees

c)

53 degrees

d)

41 degrees

94.

Find the measure of angle A.

a)

44 degrees

b)

36 degrees

c)

40 degrees

d)

50 degrees

95.

Find AC

a)

17 mi

b)

14 mi

c)

22 mi

d)

29 mi

96.

Find QR

a)

34.7 km

b)

2.2 km

c)

13.74

d)

31.1 km

97.

Find XZ

a)

16.004 meters

b)

544.165 meters

c)

34.7 meters

d)

1204.165 meters

98.

Find BC

a)

A

b)

B

c)

C

d)

D

99.

What is the AREA of a triangle with two sides that measure 6 m and 8 m with an included angle of 137°.

a)

17.8m²

b)

14.6m²

c)

16.4m²

d)

12.9m²

100.

Find angle Z

a)

20.15°

b)

71.23°

c)

51.06°

d)

57.71°

101.

Find angle T

a)

62.2°

b)

53.1°

c)

59.5°

d)

64.7°

102.

Which Law would you use?

a)

Law of Sines

b)

Law of Cosines

c)

Law of the Jungle

d)

Law of Gravity

103.

Which Law would you use?

a)

Law of Sines

b)

Law of Cosines

c)

Law of the Jungle

d)

Law of Gravity

104.

a)

10.1

b)

10.0

c)

10.9

d)

8.86

105.

Find the area of the triangle. Round your answer to 1 decimal place..

a)

16.8 cm²

b)

15.7 cm²

c)

11.5 cm²

d)

11.4 cm²

106.

Find the area of the triangle. Round your answer to 1 decimal place..

a)

19.7 cm²

b)

19.8 cm²

c)

19.9 cm²

d)

19 cm²

107.

Find the area of the triangle. Round your answer to 1 decimal place..

a)

28.6 cm²

b)

28 cm²

c)

27.9 cm²

d)

28.7 cm²

108.

Find the area of the triangle. Round your answer to 1 decimal place..

a)

15.1 cm²

b)

15.4 cm²

c)

14.3 cm²

d)

14.4 cm²

109.

Find the area of the triangle. Round your answer to 1 decimal place..

a)

8.9 cm²

b)

8.6 cm²

c)

8.8 cm²

d)

8.7 cm²

110.

Find the area of the triangle. Round your answer to 1 decimal place..

a)

13.4 cm²

b)

13.3 cm²

c)

4.4 cm²

d)

4.5 cm²

S2 Exam Mix Practice

Total questions: 110

Worksheet time: 12hrs 2mins

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