Free Printable Semester 2 Exam Review

1.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

a)

AA

b)

SSS

c)

SAS

d)

no similar

2.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

a)

SSS

b)

AA

c)

SAS

d)

not similar

3.

Find side length X.

a)

16

b)

18

c)

2.4

d)

15

4.

Find x rounded to the nearest tenth.

a)

7.7

b)

18.7

c)

11

d)

10.5

5.

If two triangles are similar their angles are______.

a)

proportional

b)

congruent

c)

supplementary

d)

complementary

6.

If two triangles are similar, the corresponding sides are ______________.

a)

equal

b)

congruent

c)

proportional

d)

none of these

7.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

8.

Which set of sides would make a right triangle?

a)

A. 4,5,6

b)

B. 8,10,12

c)

C. 5,12,13

d)

D. 5,10,12

9.

The sides of the triangle are 10, 11, 13. Determine if the triangle is Acute, Right or Obtuse.

a)

Acute

b)

Obtuse

c)

Right

d)

Not a triangle

10.

Find the length of the missing side of the right triangle above.

a)

48 in.

b)

52 in.

c)

16 in.

d)

24 in.

11.

What type of special triangle is this?

a)

45°-45°-90°

b)

30°-60°-90°

c)

Equiangular

d)

Equilateral

12.

What is side c?

a)

hypotenuse

b)

leg

c)

long leg

d)

short leg

13.

Calculate the value of y in the right triangle above.

a)

y = 45

b)

y = 5√2

c)

y = 90

d)

y = 5

14.

Calculate the value of x in the right triangle above.

a)

4√2

b)

4

c)

8

d)

4√3

15.

What type of special triangle is this?

a)

45°-45°-90°

b)

30°-60°-90°

c)

Isosceles

d)

Obtuse

16.

Which of the following represents the longer leg of the right triangle above?

a)

4

b)

u

c)

v

17.

Which side is the short leg of this 30-60-90 triangle?

a)

6

b)

m

c)

n

18.

Calculate the value of u and v in the right triangle above.

a)

u = 8, v = 4√3

b)

u = 4√2, v = 8

c)

u = 16, v = 8

d)

u = 4√3, v = 8

19.

Find the value of y. HINT: H to SL to LL

a)

7

b)

7√3

c)

14√3

d)

(14√3)/3

20.

What is the saying we use to remember the trig functions?

a)

SOH CAH TOA

b)

SAH COH TAO

c)

COH SAH TOA

d)

SOH COH TOH

21.

We can use SOH-CAH-TOA for...

a)

Any triangle ever

b)

Non-right triangles only

c)

Right Triangles only

d)

Never

22.

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

a)

adjacent

b)

opposite

c)

hypotenuse

23.

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

a)

adjacent

b)

opposite

c)

hypotenuse

24.

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

a)

cosine

b)

tangent

c)

hypotenuse

d)

sine

25.

What is the opposite side to Angle E?

a)

EF

b)

DF

c)

DE

26.

What is the adjacent side to Angle E?

a)

EF

b)

DF

c)

DE

27.

What is the ratio for Sine?

a)

Hypotenuse/Opposite

b)

Opposite/Hypotenuse

c)

Opposite/Adjacent

d)

Adjacent/Opposite

28.

What is the ratio for Cosine?

a)

Opposite/Hypotenuse

b)

Opposite/Adjacent

c)

Adjacent/Opposite

d)

Adjacent/Hypotenuse

29.

What is the ratio for Tangent

a)

Opposite/Adjacent

b)

Adjacent/Opposite

c)

Opposite/Hypotenuse

d)

Hypotenuse/Opposite

30.

If you are given the length of a hypotenuse and the length of an adjacent side, what trigonometry ratio could you use .

a)

sine

b)

cosine

c)

tangent

d)

trigonometry

31.

The ratio of the length of the side opposite of the angle to the length of the hypotenuse is the _____________

a)

Sine

b)

Cosine

c)

Tangent

32.

If you are given the two sides that are not the hypotenuse, which trig function should you use?

a)

sine

b)

cosine

c)

tangent

33.

Which trigonometric ratio should you use?

a)

Tangent Ratio

b)

Sine Ratio

c)

Cosine Ratio

d)

Any ratio

34.

Which trigonometric ratio should you use?

a)

Tangent Ratio

b)

Sine Ratio

c)

Cosine Ratio

d)

Any ratio

35.

Which trigonometric ratio should you use?

a)

Tangent Ratio

b)

Sine Ratio

c)

Cosine Ratio

d)

Any ratio

36.

Choose the correct ratio.

a)

cos(33)=x/14

b)

sin(33)=x/14

c)

cos(33)=14/x

d)

sin(33)=14/x

37.

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

38.

Which trigonometric ratio you would use to find side AB?

a)

Sin 60 = 10/AB

b)

Sin 60 = AB /10

c)

Cos 60 = 10 / AB
Cos 60 = 10 /AB

d)

tan 60 = AB /10

39.

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

a)

sine

b)

cosine

c)

tangent

d)

pythagorean theorem

40.

Is this a polygon?

a)

yes

b)

no

41.

Is this a polygon?

a)

yes

b)

no

42.

How many of the following polygons are CONCAVE?

a)

All are concave

b)

1 is concave

c)

2 are concave

d)

None are concave

43.

The sum of the exterior angles of a polygon with n sides is

a)

180

b)

360

c)

180n

d)

360n

44.

Find the sum of interior angles in a heptagon. (7 Sides)

a)

900

b)

720

c)

540

d)

180

45.

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

a)

90°

b)

108°

c)

120°

d)

180°

46.

Which is true about parallelograms?

a)

Opposite sides are congruent

b)

Diagonals are congruent

c)

Consecutive angles are congruent

d)

The interior angles add to 180 degrees

47.

In a parallelogram, consecutive angles are __________.

a)

congruent

b)

supplementary

c)

corresponding

d)

parallel

48.

In a parallelogram, diagonals __________.

a)

are perpendicular

b)

bisect each other

c)

are congruent

d)

are parallel

49.

In the picture, side AB must be congruent to which side?

a)

AE

b)

AD

c)

CD

d)

BC

50.

What is the value of x?

a)

132

b)

66

c)

114

d)

48

51.

Find x.

a)

85

b)

105

c)

95

d)

75

52.

A square has all the properties of a

a)

parallelogram

b)

rectangle

c)

rhombus

d)

parallelogram, rectangle, and rhombus

53.

Figure A is a...

a)

Rectangle

b)

Square

c)

Rhombus

54.

Figure B is a...

a)

Rectangle

b)

Square

c)

Rhombus

55.

If PONS is a rectangle, PN = 2x - 5 and OS = 17. Solve for the value of x.

a)

6

b)

11

c)

12

d)

22

56.

Find y.

a)

2

b)

4

c)

15

d)

10

57.

The diagonals of a rectangle are

a)

parallel

b)

congruent

c)

perpendicular

d)

not congruent

58.

All trapezoids have exactly one set of sides _____________.

a)

congruent

b)

parallel

c)

consecutive

d)

bisecting

59.

The legs of an isosceles trapezoid are _____.

a)

parallel

b)

perpendicular

c)

congruent

d)

skew

60.

Find the measure of ∠1:

a)

79°

b)

101°

c)

72°

d)

180°

61.

Find the measure of ∠2:

a)

96°

b)

88°

c)

84°

d)

92°

62.

Find the midsegment.

a)

11

b)

22

c)

None of these

d)

10.5

63.

Kites and trapezoids are parallelograms.

a)

always

b)

sometimes

c)

never

64.

The diagonals in a kite __________.

a)

are perpendicular

b)

are congruent

c)

bisect each other

65.

Find the value of y.

a)

65

b)

110

c)

75

d)

None of these.

66.

What is x?

a)

35

b)

45

c)

55

d)

90

67.

Which is the center?

a)

K

b)

H

c)

$\overline{JI}$

d)

I

68.

What is $\angle JIH$ ?

a)

Central Angle

b)

Point of Tangency

c)

Inscribed Angle

d)

Right Angle

69.

Which is a chord?

a)

$\overline{KL}$

b)

$\overline{HG}$

c)

$\overline{GI}$

d)

$\overline{JL}$

70.

What is $JHI$ ?

a)

Minor Arc

b)

Semicircle

c)

Major Arc

d)

Point of Tangency

71.

Which is secant?

a)

$\overline{GI}$

b)

$\overline{GJ}$

c)

$\angle JKL$

d)

$\overline{JK}$

72.

Which is a point of tangency?

a)

K

b)

L

c)

H

d)

J

73.

What is $\overline{GJ}$ ?

a)

Secant

b)

Minor Arc

c)

Tangent

d)

Radius

74.

What is $\overline{JI}$ ?

a)

Radius

b)

Diameter

c)

Central Angle

d)

Tangent

75.

Which is a central angle?

a)

$\angle JKL$

b)

$\angle JIH$

c)

$\angle JGI$

d)

$\angle JLK$

76.

What is $\overline{JK}$ ?

a)

Chord

b)

Diameter

c)

Secant

d)

Radius

77.

a)

(x+1)² + (y +1)² = 3

b)

(x+1)² + (y -1)² = 3

c)

(x+1)² + (y +1)² = 9

d)

(x-1)² + (y -1)² = 9

78.

In the equation (x+2)²+(y-3)²=4, the radius of the circle is...

a)

4

b)

2

c)

3

d)

16

79.

In the equation (x-3)²+(y-2)²=16, the center of the circle is...

a)

(3,2)

b)

(-3, -2)

c)

(-2, -3)

d)

(2, 3)

80.

What is the equation of the circle, with center (4,2) and radius 5 units?

a)

(x + 4)² + (y + 2)² = 25

b)

(x + 4)² + (y + 2)² = 5

c)

(x - 4)² + (y - 2)² = 5

d)

(x - 4)² + (y - 2)² = 25

81.

What is the relationship between a central angle and its arc?

a)

The angle is half of the arc.

b)

The arc is half of the angle.

c)

The arc is smaller than the angle.

d)

They are congruent.

82.

Which is true of a minor arc?

a)

It forms half a circle.

b)

It forms a whole circle.

c)

It measures greater than 180 degrees.

d)

It measures less than 180 degrees.

83.

Which is true of a major arc?

a)

Forms half a circle.

b)

Forms a whole circle.

c)

Measures greater than 180 degrees.

d)

Measures less than 180 degrees.

84.

Arc TUW is

a)

minor

b)

major

c)

inscribed

d)

semicircle

85.

Arc TW is

a)

minor

b)

major

c)

inscribed

d)

semicircle

86.

Solve for the missing angle.

a)

45^o

b)

90^o

c)

22.5^o

87.

If the measure of arc ABC = 210°, what is the measure of ∠AOC?

a)

150°

b)

100°

c)

210°

88.

What is the measure of angle 1?

a)

120

b)

40

c)

30

d)

60

89.

What is the measure of angle 1?

a)

130

b)

65

c)

44

d)

86

90.

What is the measure of angle 2?

a)

80

b)

45

c)

125

d)

40

91.

Find the measure of arc AB.

a)

17°

b)

34°

c)

68°

d)

146°

92.

a)

48

b)

7

c)

8

d)

16

93.

a)

7

b)

8

c)

10/3

d)

2

94.

Solve for x.

a)

6

b)

8

c)

10

d)

12

95.

is the formula for?

a)

arc length

b)

area of a sector

c)

area of a segment

d)

arc measure

96.

is the formula for?

a)

arc length

b)

area of a sector

c)

area of a segment

d)

arc measure

97.

What is the length of the arc shown in red?

a)

18π cm

b)

2π cm

c)

4π cm

d)

3π cm

98.

Find the arc length of arc AB.

a)

12.57 units

b)

75.40 units

c)

24 units

d)

125.66 units

99.

What is the area of sector GPH?

a)

9π yd²

b)

32π yd²

c)

18π yd²

d)

6π yd²

100.

In a circle, a 90° sector has area 64π in². What is the radius of the circle?

a)

16 in

b)

32 in

c)

64 in

d)

128 in

101.

The distance around an object is called the

a)

area

b)

perimeter

102.

If I needed to buy a new comforter for my bed, I would need to find the:

a)

area of the comforter

b)

perimeter of the comforter

103.

What is the formula for the area of a triangle?

a)

A = 1/2 bh

b)

A = bh

c)

A = s + s + s

104.

What is the area?

a)

12 cm²

b)

14

c)

14 cm²

d)

24 cm²

105.

What is the value of the base (b) of this triangle?

a)

5 m

b)

10 m

c)

32 m

d)

160 m

106.

What is the area of this square?

a)

169 ft²

b)

209 ft²

c)

196 ft²

d)

260 ft²

107.

What is the area of this rectangle?

a)

187 in²

b)

177 in²

c)

276 in²

d)

179 in²

108.

Find the area

a)

430 in²

b)

215 in²

c)

41.5 in²

d)

1.5 in²

109.

A perimeter of a rectangle is 20 meters. The width is 4 meters. What would the length be?

a)

6 m

b)

13 m

c)

15 m

110.

Which is the correct area formula for Trapezoids?

a)

b)

c)

111.

What is the area of this trapezoid?

a)

192.5 square centimeters

b)

55 square centimeters

c)

45 square centimeters

d)

385 square centimters

112.

What is the area for the trapezoid?

a)

546 mm²

b)

273 mm²

c)

180 mm²

d)

452 mm²

113.

How do you find the area of a kite?

a)

A=d₁d₂

b)

A=(1/2)d₁d₂

c)

A= b₁+b₂(h)

d)

A=(1/2)bh

114.

What are the lengths of the 2 diagonals?

a)

22 and 24 m

b)

5.5 and 6 m

c)

44 and 48 m

d)

11 and 12 m

115.

What is the area of this kite?

a)

336in ²

b)

552in ²

c)

336 in

d)

456in ²

116.

REGULAR in Maths means...

a)

Normal

b)

Two sides have the same length

c)

All sides are equal and all angles are equal

d)

It has right angles

117.

A line from the center of a regular polygon at right angles to any of its sides.

a)

apothem

b)

radius

c)

permimeter

d)

area

118.

Find the area

a)

96 cm²

b)

48 cm²

c)

36 cm²

d)

6 cm²

119.

What is the area?

a)

24 cm²

b)

48 cm²

c)

120 cm²

d)

240 cm²

120.

What is the area of a regular octagon having an apothem of 13.3 meters and a side length of 11 meters?

a)

585.2 m²

b)

1170.4 m²

c)

292.6 m²

d)

2340.8 m²

121.

What shape will the vertical cross -section of a cylinder be?

a)

Circle

b)

Triangle

c)

Rectangle

d)

Ellipse

122.

What shape will the horizontal cross-section of a cone be?

a)

Dome

b)

Circle

c)

Pyramid

d)

Triangle

123.

What shape will the vertical cross-section of a cube be?

a)

Square

b)

Triangle

c)

Trapezoid

d)

Circle

124.

Describe the cross section.

a)

triangle

b)

rectangle

c)

oval

d)

trapezoid

125.

What shape is this?

a)

Cube

b)

Triangular Prism

c)

Rectangular Pyramid

d)

Cone

126.

The flat side of a 3D shape is called:

a)

vertex

b)

face

c)

edge

d)

street

127.

What are vertices?

a)

sides

b)

angles

c)

faces

d)

corners

128.

The lines of a 3D shape are called...

a)

edges

b)

outside

c)

faces

d)

vertices

129.

How many faces in this shape?

a)

8

b)

6

c)

4

d)

12

130.

How many vertices in this shape?

a)

8

b)

6

c)

4

d)

12

131.

How many edges in this shape?

a)

8

b)

6

c)

4

d)

12

132.

A polyhedron has 25 faces and 36 edges. How many vertices does it have?

a)

11

b)

12

c)

13

d)

14

133.

A polyhedron has 6 vertices and 9 edges. How many faces does it have?

a)

3

b)

5

c)

7

d)

9

134.

Find the total surface . ?

a)

10.30cm²

b)

130cm³

c)

144cm²

d)

130cm²

135.

When a sphere has a volume of 972π, what is the radius of the sphere?

a)

9

b)

7

c)

18

d)

21

136.

Find the volume of the cylinder. Round your answers to the nearest tenth if necessary.

a)

16.4 cm³

b)

31.7 cm³

c)

31.4 cm³

d)

22.0 cm³

137.

Find the Surface Area.

a)

15.6m²

b)

96m²

c)

52.3m²

d)

890m²

138.

What is surface area?

a)

The measure of the amount of space inside of a solid figure

b)

The sum of all the areas of all the shapes that cover the object

139.

Volume is the amount of space an object takes up.

a)

True

b)

False

140.

What is the Volume?

a)

287.83 in³

b)

23.72 in³

c)

237.93 in³

d)

827.83 in³

Semester 2 Exam Review

Total questions: 140

Worksheet time: 35hrs 0mins

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