Free Printable The night before the final review-Geometry

1.

The sum of the interior angles of a polygon is __________________ where n is the number of sides.

a)

(n - 2)180

b)

(n - 1)180

c)

360

d)

(n - 3)(180)

2.

What is a regular polygon?

(select all that apply)

a)

all side lengths are the same length

b)

all angles are the same (equal in measure)

c)

only some side lengths are the same

d)

all side lengths are different

e)

only some angles are the same

3.

What is the measure of ONE interior angle in an equiangular pentagon (5-sides)?

a)

90°

b)

108°

c)

120°

d)

180°

4.

What is the sum of the measures of the exterior angles in a 20-gon?

a)

360

b)

18

c)

127

d)

25

5.

What is the measure of each exterior angle of a dodecagon?

a)

360

b)

30

c)

1800

d)

150

6.

What is the measure of each exterior angle of a dodecagon?

a)

360

b)

30

c)

1800

d)

150

7.

Which of the following statements is false?

a)

BD and AC are perpendicular

b)

BD and AC are congruent

c)

∠A and ∠C are congruent

d)

BD bisects AC

8.

Kite ABCD is shown.
If AC = 44, what is EC?

a)

44

b)

11

c)

88

d)

22

9.

Kite LMNO is shown.
Solve for x.

a)

40

b)

20

c)

90

d)

10

10.

Kite LMNO is shown.
Solve for x.

a)

90

b)

180

c)

60

d)

75

11.

What properties do ALL trapezoids have?

a)

Congruent diagonals

b)

One pair of opposite sides that are parallel

c)

Four right angles

d)

Opposite angles that are congruent

12.

The legs of an isosceles trapezoid are _________.

a)

Congruent

b)

Supplementary

c)

Parallel

d)

Perpendicular

13.

The diagonals of an isosceles trapezoid are __________.

a)

Congruent

b)

Supplementary

c)

Parallel

d)

Perpecdicular

14.

Find the midsegment of the trapezoid.

a)

28

b)

16

c)

14

d)

12

15.

True or false. A trapezoid has 2 bases.

a)

True

b)

False

16.

The legs of an isosceles trapezoid are _____.

a)

parallel

b)

perpendicular

c)

congruent

d)

skew

17.

What is the measure of ∠P?

a)

65 degrees

b)

115 degrees

c)

180 degrees

d)

None of the above

18.

Which is NOT a property of a parallelogram?

a)

Diagonals bisect each other

b)

Diagonals are congruent

c)

Both pairs of opposite sides are parallel

d)

Both pairs of opposite angles are congruent

19.

The diagonals of a parallelogram always ...

a)

are congruent

b)

are perpendicular

c)

bisect each other

d)

are parallel

20.

In a parallelogram, opposite angles are ________.

a)

congruent

b)

supplementary

c)

consecutive

d)

parallel

21.

The figure is a parallelogram.
Solve for x.

a)

1

b)

11

c)

7

d)

6

22.

Is the quadrilateral a parallelogram? If yes, state how you know.

a)

Opposite sides parallel

b)

Opposite sides equal

c)

Opposite sides parallel and equal

d)

Not enough info

23.

Is the quadrilateral a parallelogram? If yes, state how you know.

a)

Opposite sides equal

b)

Opposite sides parallel

c)

Diagonals bisect each other

d)

Not enough info

24.

Are the following similar? Why or why not?

a)

Yes

b)

No, the corresponding angles are not equal.

c)

No, the ratios of the corresponding sides are not equal.

25.

When figures are similar, their corresponding sides are__________________.

a)

congruent

b)

proportional

c)

invisible

26.

When figures are similar, their corresponding angles are__________________.

a)

congruent

b)

proportional

c)

yellow

d)

obtuse

27.

What is the similarity statement for the triangle pair?

a)

ΔXYZ~ΔNEW

b)

ΔXZY~ΔNWE

c)

ΔZYX~ΔENW

d)

ΔYZX~ΔNWE

28.

The triangles are similar by...

a)

SAS

b)

AA

c)

ASA

d)

SSS

29.

Are these two triangles similar and if so, identify the correct similarity statement.

a)

AA~

b)

SSS~

c)

SAS~

d)

None of these

30.

$\Delta PRQ\ \sim\ \Delta DEF$
What is $m\angle D$ ?

a)

35

b)

89

c)

56

d)

40

31.

Find the missing length.

a)

9

b)

18

c)

4.5

d)

16

32.

Find the missing length.

a)

x = 12

b)

x = 11

c)

x = 15

d)

x = 9

33.

If ∆XYZ ≅ ∆KLM, then
∠Y≅ _____

a)

∠K

b)

∠M

c)

∠L

d)

∠Z

34.

a)

19.8 km²

b)

37.8 km²

c)

18.9 km²

d)

35 km²

35.

What is the area of the parallelogram above?

a)

13 cm²

b)

28.5 cm²

c)

45.6 cm²

d)

40 cm²

36.

Find the AREA of this figure.

a)

160 square feet

b)

160 feet

c)

abcdefghijklmnopqr
stuvwxyz

d)

1600 feet

37.

Find the area of the trapezoid.

a)

18 m²

b)

165 m²

c)

84 m²

d)

22.5 m²

38.

Find the area of the kite.

a)

19.5

b)

78

c)

39

d)

27

39.

What is the area of this circle?

a)

163.2

b)

15.3

c)

124.2

d)

113.1

40.

Find the area of this polygon.

a)

22 mm²

b)

110 mm²

c)

320 mm²

d)

100 mm²

41.

To find the area of a regular polygon, we divide it into equal __________

a)

squares

b)

trapezoids

c)

triangles

d)

circles

42.

What is the formula for sector area?

a)

b)

43.

Find the area of the shaded sector of circle O. The radius is 6 inches and the central angle is 100°. Express answer to the nearest tenth of a square inch.

a)

9.2 sq. in.

b)

10.5 sq. in.

c)

31.4 sq. in.

d)

38.2 sq. in.

44.

Find the lateral area of the figure.

a)

96 ft²

b)

192 ft²

c)

84 ft²

d)

108 ft²

45.

Find the Surface Area

a)

556 cm²

b)

278 cm²

c)

680 cm²

d)

340 cm²

46.

Two congruent chords in a circle........

a)

make a radius

b)

form a secant

c)

intercept congruent arcs

d)

are tangent

47.

A secant is...........

a)

a segment that connects 2 points on a circle

b)

a line that goes through 2 points on a circle.

c)

a tangent

d)

a chord

48.

Congruent chords are also equidistant from........

a)

the radius

b)

the tangent line

c)

the central angle

d)

the center of the circle

49.

The perpendicular from the center of the circle to a chord, must......

a)

bisect the chord

b)

be tangent

c)

intersect the secant

d)

be the radius

50.

What is the equation of a circle with radius 4 and center (0, 8)?

a)

x² + (y-8)² = 16

b)

(x-8)² + y² = 4

c)

x² + (y-8)² = 4

d)

x² + (y+8)² = 16

51.

What is the measure of minor arc BC in the picture above

a)

90°

b)

130°

c)

115.15°

d)

No degree measure

52.

The measure of chord DE is (a) units.

53.

Find the arc length. Leave your answer in terms of π.

a)

7/4π

b)

7/2π

c)

1/8π

d)

45π

54.

What is the circumference of a circle with a diameter of 19.1 ft?

a)

60.00 ft

b)

35.17 ft

c)

28.67 ft

d)

47.17 ft

55.

_{^{Find the missing side}}

a)

9

b)

41

c)

6.4

d)

3

56.

8,15,17

a)

yes, it is a right triangle.

b)

no, it is another type of triangle.

57.

What type of special triangle is this?

a)

45°-45°-90°

b)

30°-60°-90°

c)

Equiangular

d)

Equilateral

58.

What type of special triangle is this?

a)

45°-45°-90°

b)

30°-60°-90°

c)

Isosceles

d)

Obtuse

59.

Find x.

a)

10

b)

10√3

c)

10√2

d)

20

60.

Find a.

a)

12

b)

24

c)

24√3

d)

16

61.

Find a.

a)

2√3

b)

2

c)

12

d)

6

62.

What is the length of y in this picture?

a)

45

b)

5√2

c)

90

d)

5

63.

A(3,1) B(-2,-1) written correctly is:

a)

$\sqrt{\left(-2-3\right)^2\ +\ \left(-1-1\right)^2}$

b)

$\sqrt{\left(1-3\right)^2\ +\ \left(-1-2\right)^2}$

c)

$\sqrt{\left(-2-3\right)^2\ -\ \left(-1-1\right)^2}$

d)

$\sqrt{\left(-2-3\right)^2\ -\ \left(-1-1\right)^2}$

64.

What is the distance between AB

a)

0

b)

8

c)

9

d)

7

65.

Calculate the Volume

a)

410 cm³

b)

420 cm³

c)

402 cm³

d)

401 cm³

66.

Calculate the volume.

a)

90 cm³

b)

150 cm³

c)

180 cm³

67.

Find the volume.

a)

364

b)

1092

c)

546

d)

182

68.

a)

8.4 ft³

b)

100.5 ft³

c)

25 ft³

d)

16.8 ft³

69.

V = ?

a)

14.13 in³

b)

56.52 in³

c)

169.56 in³

70.

Find the volume to the nearest tenth using 3.14 instead of Pi.

a)

282.6 in³

b)

94.2 in³

c)

235.5 in³

d)

78.5 in³

71.

Find the volume to the nearest hundredth using 3.14 instead of Pi.

a)

5572.45 cm³

b)

506.59 cm³

c)

126.65 cm³

d)

1393.11 cm³

72.

What is the surface area?

a)

6658.56 mm²

b)

452.16 mm²

c)

904.32 mm²

d)

108.8 mm²

73.

Find the volume of the hemisphere

a)

904.3 in³

b)

226.1in³

c)

113.0 in³

d)

452.2 in³

74.

Find the surface area of the hemisphere

a)

904.3 in²

b)

226.1in²

c)

113.0 in²

d)

452.2 in²

75.

Which trigonometric ratio should you use?

a)

Tangent Ratio

b)

Sine Ratio

c)

Cosine Ratio

d)

Any ratio

76.

Which trigonometric ratio should you use?

a)

Tangent Ratio

b)

Sine Ratio

c)

Cosine Ratio

d)

Any ratio

77.

Which side is opposite angle x?

a)

1

b)

2

c)

3

78.

Which side is the hypotenuse?

a)

1

b)

2

c)

3

79.

What is the ratio for Sine?

a)

Hyp/Opp

b)

Opp/Hyp

c)

Opp/Adj

d)

Adj/Opp

80.

What is the ratio for Tangent

a)

Opp/Adj

b)

Adj/Opp

c)

Opp/Hyp

d)

Hyp/Opp

81.

What is the ratio for Cosine?

a)

Opp/Hyp

b)

Opp/Adj

c)

Adj/Opp

d)

Adj/Hyp

The night before the final review-Geometry

Total questions: 81

Worksheet time: 1hrs 21mins

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