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Worksheets

M8 Midterm Practice

Total questions: 118

Worksheet time: 1hrs 8mins

Name
Class
Date
1.

Which is the correct product in scientific notation: (3.2×104)×(5×103)(3.2 \times 10^4) \times (5 \times 10^3) ?

a)

1.6×1081.6 \times 10^8

b)

16×10716 \times 10^7

c)

16×10616 \times 10^6

d)

1.6×1071.6 \times 10^7

2.

Compute (9 × 10^6) ÷ (3 × 10^2) and write the answer in scientific notation.

a)

3×1043 \times 10^4

b)

30×10330 \times 10^{3}

c)

0.3×1050.3 \times 10^5

d)

3×1053 \times 10^5

3.

What is (6.4×102)+(3.6×102(6.4 \times 10^{–2}) + (3.6 \times 10^{–2} written in scientific notation?

a)

10.0 × 10210^–2

b)

9.0×1029.0 \times 10^{-2}

c)

1.0×1011.0 \times 10^{–1}

d)

0.1×1010.1 \times 10^{–1}

4.

Subtract (7.5 × 10^5) – (2.1 × 10^5). Express your answer in scientific notation.

a)

5.4×1055.4 \times 10^5

b)

54×10454 \times 10^4

c)

0.54 × 10610^6

d)

5.4×1065.4 \times 10^6

5.

Convert 4.2 × 10^–4 to standard form.

a)

0.0042

b)

0.042

c)

0.00042

d)

0.000042

6.

Convert 5.06 × 10^3 to standard form.

a)

506,000

b)

506

c)

50,600

d)

5,060

7.

Write 0.00079 in scientific notation.

a)

7.9×1047.9 \times 10^{–4}

b)

7.9×1057.9 \times 10^{–5}

c)

79×10679 \times 10^{–6}

d)

0.79 × 10310^{-3}

8.

Write 38,400 in scientific notation.

a)

3.84×1043.84 \times 10^4

b)

38.4×10338.4 \times 10^3

c)

0.384 × 10510^5

d)

3.84×1033.84 \times 10^3

9.

Which shows (2.5×103)×(8×102(2.5 \times 10^{–3}) \times (8 \times 10^{2} simplified?

a)

2.0×1012.0 \times 10^{-1}

b)

0.2×1010.2 \times 10^1

c)

20×10220 \times 10^{–2}

d)

2.0×1002.0 \times 10^0

10.

Divide and express in scientific notation: (4.5×107)÷(9×101)(4.5 \times 10^7) ÷ (9 \times 10^{–1}) .

a)

0.5×1080.5 \times 10^8

b)

50 × 10^6

c)

5×1085 \times 10^8

d)

5×1075 \times 10^7

11.

Add 1.2×1031.2 \times 10^3 + 8.8×1028.8 \times 10^2 . What is the result in scientific notation?

a)

0.208×1040.208 \times 10^4

b)

2.08×1032.08 \times 10^3

c)

2.8×1032.8 \times 10^3

d)

20.8×10220.8 \times 10^2

12.

Subtract (4.06 × 10^–1) – (9 × 10^–2) and write in scientific notation.

a)

3.16×1013.16 \times 10^{–1}

b)

31.6×10231.6 \times 10^{–2}

c)

0.316×1000.316 \times 10^0

d)

3.16×1003.16 \times 10^0

13.

Simplify to a single power: (53)4(5^3)^4 equals which expression?

a)

5125^{12}

b)

575^7

c)

595^9

d)

515^1

14.

Simplify to a single power: 65÷66^5 ÷ 6 equals which expression?

a)

656^5

b)

646^4

c)

636^3

d)

666^6

15.

Simplify to a single power: 42×44^2 \times 4 equals which expression?

a)

424^2

b)

444^4

c)

414^1

d)

434^3

16.

Which expression is equivalent to 3÷323 \div 3^2 ?

a)

1/27

b)

1/9

c)

1/3

d)

3

17.

Which expression is equivalent to 34×363^{-4} \times 3^{6} ?

a)

333^3

b)

132\frac{1}{3^2}

c)

323^2

d)

1324\frac{1}{3^{24}}

18.

Which value is equivalent to (31)2(3^{-1})^{2} ?

a)

9

b)

27

c)

1

d)

1/9

19.

Write the number 8.9×1058.9 \times 10^5 in standard form.

a)

89,000,000

b)

890000

c)

89000

d)

8,900,000

20.

Write the number 4.3×1054.3 \times 10^{-5} in standard form.

a)

0.0043

b)

0.0000043

c)

0.000043

d)

0.00043

21.

Write the number 4.6×1044.6 \times 10^4 in standard form.

a)

46000

b)

4600

c)

460,000

d)

46,000,000

22.

Evaluate and express in scientific notation: 2.49×103+6.68×1032.49 \times 10^3 + 6.68 \times 10^3 .

a)

0.0917 × 10510^5

b)

91.7×10291.7 \times 10^2

c)

0.917 × 10410^4

d)

9.17×1039.17 \times 10^3

23.

Evaluate and express in scientific notation: 5.03×1045.03 \times 10^41.42×1041.42 \times 10^4 .

a)

0.0361 × 10610^6

b)

3.61×1043.61 \times 10^4

c)

36.1×10336.1 \times 10^3

d)

0.361 × 10510^5

24.

Evaluate and express in scientific notation: 6,1001.1×1036,100 - 1.1 \times 10^3 .

a)

5×1035 \times 10^3

b)

4×1034 \times 10^3

c)

5.1×1035.1 \times 10^3

d)

6×1036 \times 10^3

25.

Evaluate and express in scientific notation: 5.3×10(1)+9.1×10(2)5.3 \times 10^{(−1)} + 9.1 \times 10^{(−2)} .

a)

0.0621×1010.0621 \times 10^1

b)

62.1 × 10210^{−2}

c)

0.621 × 10010^0

d)

6.21×1016.21 \times 10^{−1}

26.

Evaluate and express in scientific notation: 4.66×10(4)3.82×10(4)4.66 \times 10^{(−4)} - 3.82 \times 10^{(−4)} .

a)

0.84 × 10410^{−4}

b)

84×10684 \times 10^{−6}

c)

0.0084 × 10310^{−3}

d)

8.4×1058.4 \times 10^{−5}

27.

Evaluate and express in scientific notation: 0.012+3.4×10(4)0.012 + 3.4 \times 10^{(−4)} .

a)

0.1234 × 10(1)10^{(−1)}

b)

12.34×10(4)12.34 \times 10^{(−4)}

c)

1.234×10(2)1.234 \times 10^{(−2)}

d)

0.001234 × 10(1)10^{(−1)}

28.

A polygon is translated 5 units right and 4 units down on a coordinate grid. Which rule describes this translation?

a)

(x,y) → (x−4, y+5)

b)

(x,y) → (x+4, y−5)

c)

(x,y) → (x−5, y+4)

d)

(x,y) → (x+5, y−4)

29.

On the coordinate plane, translate the given polygon 3 units right and 1 unit up. Which vector describes this translation?

a)

⟨−3,−1⟩

b)

⟨3,−1⟩

c)

⟨3,1⟩

d)

⟨1,3⟩

30.

A figure is reflected over the horizontal line y = 1. How do the coordinates (x, 5) change after the reflection?

a)

(x, −3)

b)

(x, −9)

c)

(x, −5)

d)

(x, −1)

31.

Translate a figure 4 units left and 3 units up. Which coordinate rule applies to any point (x, y)?

a)

(x, y) → (x+3, y−4)

b)

(x, y) → (x−3, y+4)

c)

(x, y) → (x+4, y+3)

d)

(x, y) → (x−4, y+3)

32.

Which transformation takes a shape in quadrant III to a congruent shape in quadrant IV, preserving orientation but changing signs of x only?

a)

Reflection over the x-axis

b)

Reflection over the y-axis

c)

Translation right 5 units

d)

Rotation 270° about the origin

33.

Figure L is the image of Figure K. K is a right triangle in quadrant III with its right angle at (−4, −1). L is the same triangle in quadrant I with right angle at (4, 1). Which transformation maps K to L?

a)

Rotation 180° clockwise about the origin

b)

Translation right 8 and up 2

c)

Rotation 90° counterclockwise about the origin

d)

Reflection over the x-axis

34.

Figure U is obtained from Figure T. T has a vertex at (3, 4) and U has the corresponding vertex at (4, 0). Which translation maps T to U?

a)

Right 1, down 4

b)

Left 1, up 4

c)

Left 4, up 1

d)

Right 4, down 1

35.

Which rotation about the origin sends the point (2, −5) to (5, 2)?

a)

90° clockwise

b)

90° counterclockwise

c)

180° rotation

d)

270° counterclockwise

36.

A triangle has two angles measuring 39° and 90°. The third angle is labeled (3x + 12)°. What is x?

a)

13

b)

17

c)

11

d)

15

37.

In triangle ABC, the angles measure 39°, (3x + 12)°, and 90°. Find the value of x.

a)

x = 13

b)

x = 10

c)

x = 11

d)

x = 9

38.

In triangle DEF, the angles measure 72°, 47°, and (7x − 2)°. What is x?

a)

x = 9

b)

x = 8

c)

x = 10

d)

x = 11

39.

A triangle has angles 51°, (5x − 16)°, and a right angle. Find x.

a)

x = 11

b)

x = 10

c)

x = 12

d)

x = 13

40.

A triangle has an exterior angle measuring 128°. One of the remote interior angles is a right angle. The other remote interior angle measures x°. Find x.

a)

x = 42

b)

x = 38

c)

x = 32

d)

x = 52

41.

A triangle has an exterior angle measuring 78°. The adjacent interior angle at the same vertex is labeled x°, and the nonadjacent interior angle at another vertex is 54°. Find x.

a)

x = 54

b)

x = 24

c)

x = 48

d)

x = 32

42.

A triangle has exterior angles at two vertices measuring 109° and 131°. The interior angle at the remaining vertex is x°. Find x.

a)

x = 18

b)

x = 40

c)

x = 28

d)

x = 22

43.

In triangle CDE, side CE is extended through E to F. Given m∠CDE = (3x + 18)°, m∠DEF = (8x + 17)°, and m∠ECD = (3x + 13)°. Find m∠CDE.

a)

45°

b)

39°

c)

42°

d)

36°

44.

In triangle AFG, FH is extended through H to I. Given m∠FGH = (3x + 15)°, m∠GHI = (8x − 2)°, and m∠HFG = (3x + 17)°. Find x.

a)

x = 15

b)

x = 17

c)

x = 19

d)

x = 13

45.

In triangle OPQ, m∠O = (3x + 12)°, m∠P = (x + 14)°, and m∠Q = (4x − 6)°. Find m∠Q.

a)

72°

b)

70°

c)

68°

d)

74°

46.

An altitude is drawn from the vertex of an isosceles triangle to the base, splitting the base into two equal segments. The altitude is 30 inches and the full base is 10 inches. Find the triangle’s perimeter. Round to the nearest tenth of an inch.

a)

70.8 in.

b)

68.3 in.

c)

64.2 in.

d)

73.6 in.

47.

You travel 5 miles west, then turn left and drive south for 8 miles. What is your straight-line distance from your starting point? Round to the nearest tenth.

a)

13.0 mi

b)

10.2 mi

c)

8.9 mi

d)

9.4 mi

48.

A TV is advertised as an 85-inch class (diagonal). If the width is 67 inches, what is the height? Round to the nearest tenth of an inch.

a)

52.3 in.

b)

50.1 in.

c)

48.7 in.

d)

54.0 in.

49.

A right triangle has legs 2 cm and 19 cm. Find the hypotenuse. Round to the nearest tenth.

a)

20.0 cm

b)

19.1 cm

c)

19.5 cm

d)

18.8 cm

50.

A right triangle has one leg 8 cm and hypotenuse 16 cm. Find the other leg. Round to the nearest tenth.

a)

13.9 cm

b)

12.0 cm

c)

10.5 cm

d)

14.8 cm

51.

A right triangle has one leg 16 cm and hypotenuse 18 cm. Find the other leg. Round to the nearest tenth.

a)

8.2 cm

b)

9.0 cm

c)

10.4 cm

d)

7.5 cm

52.

On a coordinate plane, the points A(2, −6) and B(−1, −2) form the endpoints of a right triangle’s hypotenuse with legs parallel to the axes. What is the distance between A and B in simplest radical form?

a)

2√10

b)

5

c)

√13

d)

3√5

53.

Two points are A(5, −4) and B(3, −6). What is the distance AB in simplest radical form?

a)

2√3 units

b)

4√2 units

c)

3√2 units

d)

2√2 units

e)

√8 units

54.

Points C(3, 4) and D(−6, 9) form the hypotenuse of a right triangle with legs parallel to the axes. What is CD in simplest radical form?

a)

√85 units

b)

5√5 units

c)

√106 units

d)

11 units

e)

10√2 units

55.

Which sequence maps Figure W to Figure X on a coordinate plane: translate up 3 units then rotate 180° about the origin; rotate 90° clockwise then reflect over x-axis; reflect over y-axis then translate right 3 units; translate left 3 units then rotate 180° about the origin?

a)

Translate left 3 then rotate 180°

b)

Translate up 3 then rotate 180°

c)

Rotate 90° clockwise then reflect x-axis

d)

Translate up 3 then reflect over y-axis

e)

Reflect over y-axis then translate right

56.

A transformation maps Figure B to Figure C. Which is a valid sequence: rotate 90° clockwise about origin then translate up 3 units; translate up 3 units then rotate 90° counterclockwise; reflect over y-axis then rotate 180°; rotate 180° then translate right 3 units?

a)

Rotate 90° clockwise, then translate up 3

b)

Translate up 3, then rotate 90° counterclockwise

c)

Translate down 3, then rotate 90° clockwise

d)

Reflect over y-axis, then rotate 180°

e)

Rotate 180°, then translate right 3

57.

Which sequence maps Figure Q to Figure R: rotate 90° counterclockwise about origin then reflect over x-axis; reflect over y-axis then rotate 90° clockwise; translate right 2 then rotate 180°; rotate 180° then reflect over y-axis?

a)

Rotate 90° CW, then reflect over x-axis

b)

Rotate 180°, then reflect over y-axis

c)

Reflect over y-axis, then rotate 90° CW

d)

Translate right 2, then rotate 180°

e)

Rotate 90° CCW, then reflect over x-axis

58.

A polygon is dilated by a factor of 4 centered at the origin. Which statement is true about each image point (x, y)?

a)

It maps to (4+y, 4+x)

b)

It maps to (−4x, −4y)

c)

It maps to (x+4, y+4)

d)

It maps to (x/4, y/4)

e)

It maps to (4x, 4y)

59.

A triangle is dilated by a factor of 3/2 centered at the origin. Which coordinate rule gives the image?

a)

(x, y) → (3x/2, 3y/2)

b)

(x, y) → (2x/3, 2y/3)

c)

(x, y) → (x+3/2, y+3/2)

d)

(x, y) → (−3x/2, −3y/2)

e)

(x, y) → (3x, 2y)

60.

A figure is dilated by a factor of 1/2 centered at the origin. Which effect occurs?

a)

All coordinates are doubled

b)

Only y-coordinates are doubled

c)

All coordinates are halved

d)

Signs of coordinates change

e)

Only x-coordinates are halved

61.

Rectangles W and X are similar. If the scale factor from W to X is 4:5 and area of W is 12, what is the area of X?

a)

75/? wait

b)

6.75

c)

12.5

d)

7.5

e)

15.0

62.

Rectangles J and K are similar. The side lengths scale from J to K by a factor of 3:5. If the area of rectangle J is 42 square units, what is the area of rectangle K?

a)

70.00 square units

b)

116.67 square units

c)

46.67 square units

d)

22.68 square units

63.

Rectangles P and Q are similar. The side lengths scale from P to Q by a factor of 1:4. If the area of rectangle P is 12 square units, what is the area of rectangle Q?

a)

3 square units

b)

12 square units

c)

48 square units

d)

192 square units

64.

A figure is dilated from the origin with scale factor 1/2. A point A at (8, −6) maps to A'. What are the coordinates of A'?

a)

(−4, 3)

b)

(8, −3)

c)

(16, −12)

d)

(4, −3)

65.

A polygon ABCDE is mapped to A'B'C'D'E' by a dilation centered at the origin with scale factor 2, then a translation right 4 units. Which choice describes this sequence best?

a)

Translate right 4 then dilate by 2

b)

Dilate by 2 then translate right 4

c)

Reflect over x-axis then translate right 4

d)

Dilate by 1/2 then translate left 4

66.

A polygon is reflected over the y-axis and then translated down 4 units to form its image. Which statement is true about the orientation and size of the image?

a)

Orientation changes, size doubles

b)

Orientation stays same, size stays same

c)

Orientation stays same, size halves

d)

Orientation changes, size stays same

67.

A figure is dilated with center at the origin and scale factor 1/3. Point T is at (6, 3). What are the coordinates of T' after the dilation?

a)

(1, 3)

b)

(3, 1)

c)

(−2, −1)

d)

(2, 1)

68.

On a coordinate grid, segment AB has endpoints A(−9, 9) and B(−9, 0). After a dilation with scale factor 1/3 centered at the origin, what is the length of A'B'?

a)

27 units

b)

18 units

c)

3 units

d)

9 units

69.

A right triangle has legs 6 cm and 8 cm. After a dilation, the image has legs 9 cm and 12 cm. What is the scale factor from the original to the image?

a)

3/4

b)

4/3

c)

2/3

d)

3/2

70.

A rectangle has length 10 and width 6. It is dilated by a scale factor of k to produce a similar rectangle with area 90. What is the value of k?

a)

√(9/10)

b)

√(3/2)

c)

3/5

d)

5/3

71.

On a coordinate plane, point X is at (4, 2). After a rotation of 180° about the origin, what are the coordinates of the image of X?

a)

(−4, −2)

b)

(4, −2)

c)

(2, 4)

d)

(−4, 2)

72.

A triangle has a vertex T at (7, 2). If the triangle is reflected over the x-axis, what are the coordinates of the image of T?

a)

(7, −2)

b)

(−7, 2)

c)

(−7, −2)

d)

(2, 7)

73.

Quadrilateral JKLM is similar to quadrilateral NOPQ. In JKLM, side JL is 7 and side JM is 4.9. In NOPQ, side PQ corresponds to JL and is 21. What is the length of side QN, which corresponds to JM?

a)

10.5

b)

7.0

c)

14.7

d)

12.6

74.

Triangles IJK and LMN are similar. In triangle IJK, IK = 4 and IJ = 8. In triangle LMN, LN corresponds to IK and has length 12.2. What is the length of LM, which corresponds to IJ?

a)

8.0

b)

12.2

c)

16.4

d)

24.4

75.

Triangles TUV and WXY are similar. In triangle TUV, TU = 3.3 and TV = 5. In triangle WXY, WX corresponds to TV and has length 40. What is the length of XY, which corresponds to TU?

a)

26.4

b)

24.0

c)

8.3

d)

12.0

76.

Quadrilateral KLMN is similar to quadrilateral OPQR. In KLMN, side KM = 11 and side MN = 14. In OPQR, side OR corresponds to KM and is 54. What is the length of QR, which corresponds to MN? Round to the nearest tenth.

a)

44.8

b)

34.4

c)

59.3

d)

68.7

77.

Triangles MNO and PQR are similar. In triangle MNO, MN = 31 and MO = 43. In triangle PQR, PQ corresponds to MN and is 6. What is the length of PR, which corresponds to MO? Round to the nearest tenth.

a)

8.3

b)

5.6

c)

4.3

d)

3.2

78.

Triangles EFG and HIJ are similar. In triangle EFG, EF = 20 and FG = 11. In triangle HIJ, IJ corresponds to FG and is 47.2. What is the length of JH, which corresponds to EF? Round to the nearest tenth.

a)

26.0

b)

85.8

c)

43.0

d)

35.4

79.

In right triangle ABC, altitude BD is drawn to hypotenuse AC. If BC = 36 and DC = 12, what is the length of AC?

a)

96

b)

84

c)

72

d)

108

80.

In right triangle ABC, altitude BD is drawn to hypotenuse AC. If AC = 48 and DC = 12, what is the length of BC?

a)

12

b)

32

c)

18

d)

24

81.

In right triangle ABC, altitude BD is drawn to hypotenuse AC, splitting AC into segments AD = 3 and DC = 5. What is the length of BD in simplest radical form?

a)

sqrt(15)

b)

sqrt(10)

c)

sqrt(12)

d)

sqrt(18)

e)

sqrt(20)

82.

In triangle ABC, angle A is a right angle. Altitude AD is drawn to hypotenuse BC. If BD = 21 and AB = 17, what is the length of AC to the nearest tenth?

a)

48.6

b)

42.0

c)

39.2

d)

36.8

e)

33.0

83.

In quadrilateral LMNO, triangles formed are similar as shown. If NL = 63, LM = 74, and OP = 37 in a proportional setup, what is the length of QO to the nearest tenth?

a)

35.0

b)

33.8

c)

37.2

d)

31.5

e)

28.4

84.

Given triangle MNO where triangles JKL and MNO are similar in a chain of proportions. If JK = 60, KL = 50, JL = 57, NO = 10, and MO = 11.4, what is the perimeter of triangle MNO to the nearest tenth?

a)

35.8

b)

34.6

c)

33.4

d)

32.2

e)

31.0

85.

Two rays form a straight line. One acute angle measures 44°. What is the measure of the adjacent angle a?

a)

36°

b)

46°

c)

44°

d)

134°

e)

136°

86.

Two lines intersect. One of the vertical angles measures 145°. What is the measure of angle b (adjacent to the 145° angle on a straight line) and angle c (the vertical angle opposite b)?

a)

b = 35°, c = 145°

b)

b = 145°, c = 35°

c)

b = 55°, c = 125°

d)

b = 35°, c = 35°

e)

b = 145°, c = 145°

87.

Two rays form a straight line. One angle is 104°. What is the measure of the adjacent angle a on the line?

a)

a = 96°

b)

a = 104°

c)

a = 84°

d)

a = 76°

88.

Vertical angles are formed by two intersecting lines. If one angle measures (5x − 3)° and its vertical angle measures (6x − 4)°, what is x?

a)

x = 7

b)

x = 19

c)

x = 9

d)

x = 17

89.

Two angles on a straight line are labeled (9y − 8)° and (8y + 4)°. What is y?

a)

y = 10

b)

y = 8

c)

y = 12

d)

y = 16

90.

A right angle and a 31° angle sit on a slanted line with a short perpendicular segment creating angle a above the line. Find a.

a)

a = 90°

b)

a = 31°

c)

a = 41°

d)

a = 59°

91.

A vertical line meets a horizontal line at a right angle. A slanted ray makes a 66° angle with the horizontal to the right. The acute angle between the slanted ray and the upward vertical is x, and the angle between the downward vertical and the horizontal to the right is a right angle. What are x and y if y is the angle between the slanted ray and the horizontal to the left?

a)

x = 24°, y = 66°

b)

x = 33°, y = 57°

c)

x = 57°, y = 33°

d)

x = 66°, y = 24°

92.

Given parallel lines m and n cut by transversal t, the interior angle on the lower line is 103°. What is the acute angle x on the upper line that is consecutive interior with the 103° angle?

a)

x = 67°

b)

x = 103°

c)

x = 77°

d)

x = 87°

93.

Given parallel lines m ∥ n and transversal t, the angle corresponding to x° is 141°. What is x?

a)

x = 141°

b)

x = 59°

c)

x = 39°

d)

x = 49°

94.

Given m ∥ n and transversal t, the angles (4x − 4)° and (2x + 22)° are alternate interior angles. Find x.

a)

x = 27

b)

x = 13

c)

x = 33

d)

x = 11

95.

Given m ∥ n and transversal t, the angles (5x − 8)° and (5x − 12)° lie on a straight line along the same side of the transversal. What is x?

a)

x = 20

b)

x = 32

c)

x = 2

d)

x = 10

96.

Given m ∥ n and transversal t, angle x° is corresponding to a 126° angle on the other line. Find x.

a)

x = 126°

b)

x = 54°

c)

x = 64°

d)

x = 76°

97.

Two parallel lines m and n are cut by transversal t. The angles along the transversal at one intersection are labeled 54°, e, and f around the vertical line, and at the bottom there is a right angle d with the horizontal. Find d, e, and f.

a)

d = 54°, e = 90°, f = 126°

b)

d = 90°, e = 36°, f = 144°

c)

d = 126°, e = 54°, f = 90°

d)

d = 90°, e = 54°, f = 126°

98.

A right angle is split by a ray that forms a 49° acute angle with the vertical. The adjacent exterior angle along the horizontal is labeled (6e − 1)°. Find e.

a)

e = 9

b)

e = 6

c)

e = 8

d)

e = 7

99.

Given m ∥ n and transversal t, the angle on the top line is (8x + 26)°, and the corresponding angle on the bottom line is (9x + 9)°. Find x.

a)

x = 8

b)

x = 26

c)

x = 17

d)

x = 9

100.
The triangles are similar, solve for the question mark.
a)
8
b)
12.5
c)
18
d)
24
101.
Which triangles are similar to triangle A?
a)
B
b)
C
c)
Both
d)
None
102.
Are the triangles similar?
a)
Yes
b)
No
103.
Use the information in the diagram to determine the height of the tree.
a)
80 feet
b)
320 feet
c)
40 feet
d)
160 feet
104.
If ABCDE ∼ GHJDF, then∠B is congruent to _______
a)
∠H
b)
∠D
c)
∠F
d)
∠J
105.

Figure F has been transformed to F'.

Select all the statements that are true.

a)

reflected across the y-axis

b)

translated 8 units up

c)

translated 8 units down

d)

reflected across x axis

e)

congruent and similar

106.
Determine where X' would be if you translated X 3 units to the left and 9 units down.
a)
(-4, 4)
b)
(-10, 2)
c)
(-4, -5)
d)
(-1, 5)
107.
Identify the transformation from ABCD to A'B'C'D'.
a)
Translation
b)
Reflection across the y-axis
c)
Reflection across the x-axis
d)
90o counter clockwise Rotation
108.
How is triangle ABC being translated to triangle A'B'C'?
a)
up 3, left 8
b)
up 9, left 4
c)
down 3, right 8
d)
down 9, right 4
109.
Dilate Point B by a scale factor of 3:
a)
(12,0)
b)
(12,12)
c)
(4,3)
d)
(0,12)
110.
The following is a ...
a)
Translation
b)
Reflection
c)
Rotation
d)
Dilation
111.
What is the distance between the two points?
a)
6.3
b)
6.5
c)
6.7
d)
16
112.
Solve for x. 
a)
38.9
b)
40.2
c)
45.6
d)
54
113.
a)
12
b)
9
c)
8
d)
10
114.

If a triangle has angle measures of 40 and 56, what does the third angle measure?

a)

96

b)

16

c)

84

d)

86

115.
State the angle relationship and find the measure of angle 1
a)
Alternate Interior
37
b)
Alternate Interior
143
c)
Corresponding
143
d)
Corresponding
37
116.
What angle pair is pictured?
a)
Alternate Interior Angles
b)
Supplementary Angles
c)
Vertical Angles
d)
Corresponding Angles
117.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
118.
What is the relationship of the angles?
a)
Corresponding angles
b)
Same Side Interior
c)
Alternate Interior
d)
Alternate Exterior