Free Printable Y9 formative review triangles and circle geometry

1.

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

a)

Any triangle ever

b)

Non-right triangles only

c)

Right Triangles only

d)

Never

2.

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

a)

Any triangle ever

b)

Non-right triangles only

c)

Right Triangles only

d)

Never

3.

The ratio in a right triangle of adjacent to hypotenuse is _____

a)

sine

b)

cosine

c)

tangent

d)

hypotenuse

4.

What is the ratio for Sine?

a)

Hypotenuse/Opposite

b)

Opposite/Hypotenuse

c)

Opposite/Adjacent

d)

Adjacent/Opposite

5.

What is the ratio for Tangent

a)

Opposite/Adjacent

b)

Adjacent/Opposite

c)

Opposite/Hypotenuse

d)

Hypotenuse/Opposite

6.

What is the ratio for Cosine?

a)

Opposite/Hypotenuse

b)

Opposite/Adjacent

c)

Adjacent/Opposite

d)

Adjacent/Hypotenuse

7.

What type of triangle is the context of our study of trigonometry?

a)

right triangle

b)

isosceles triangle

c)

scalene triangle

d)

acute triangle

8.

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

a)

sine

b)

cosine

c)

tangent

d)

cotangent

9.

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

a)

cosine

b)

tangent

c)

hypotenuse

d)

sine

10.

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

11.

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

12.

What is the correct ratio set up for finding the tangent of Angle A? Remember: Tangent = opposite/adjacent

a)

20/12

b)

12/20

c)

12/16

d)

16/12

13.

What is the opposite side to <D?

a)

EF

b)

DF

c)

DE

14.

What is the opposite side to <E?

a)

EF

b)

DF

c)

DE

15.

What is the adjacent side to <D?

a)

EF

b)

DF

c)

DE

16.

cos B = ? Remember: Cosine ratio is adjacent/hypotenuse

a)

12/13

b)

12/5

c)

5/13

d)

5/12

17.

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

a)

adjacent

b)

opposite

c)

hypotenuse

18.

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

a)

adjacent

b)

opposite

c)

hypotenuse

19.

From ∠C, what side is AB?

a)

Adjacent

b)

Hypotenuse

c)

Opposite

20.

If you are given the opposite side and hypotenuse, which trig function should you use?

a)

sine

b)

cosine

c)

tangent

d)

cotangent

21.

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

a)

sine

b)

cosine

c)

tangent

d)

cotangent

22.

If you are given 2 of the sides to an obtuse triangle, which trig function should you use to find the other side?

a)

sine

b)

cosine

c)

tangent

d)

You can only use trig functions on right triangles.

23.

If you are given the hypotenuse and an adjacent side, which trig function should you use?

a)

sine

b)

cosine

c)

tangent

d)

cotangent

24.

a)

24/32

b)

32/24

c)

32/40

d)

24/40

25.

a)

14/48

b)

48/50

c)

14/50

d)

48/14

26.

a)

27/36

b)

27/45

c)

45/36

d)

45/27

27.

Which one is one of the easy ways to learn trigonometric ratios?

a)

Sah Coh Toa

b)

Soh Cah Toa

c)

Soh Cah Tao

d)

Soh Ceh Toa

28.

Choose the correct ratio.

a)

cos(33)=x/14

b)

sin(33)=x/14

c)

cos(33)=14/x

d)

sin(33)=14/x

29.

Choose the correct ratio.

a)

sinZ=5/13

b)

sinX=5/13

c)

cosX=13/12

d)

tanZ=12/5

30.

Choose the correct ratio.

a)

sin(37)=x/14

b)

cos(37)=x/14

c)

tan(37)=x/14

d)

sin(37)=14/x

31.

Which trigonometric ratio is correct?

a)

sinA= opp/adj

b)

cosA= opp/hyp

c)

tanA= opp/adj

d)

sinA= adj/opp

32.

If you are given the hypotenuse and an adjacent side, which trig function should you use?

a)

sine

b)

cosine

c)

tangent

d)

cotangent

33.

Find Cos(A) as a decimal rounded the the nearest ten-thousandth.

a)

.4706

b)

1.875

c)

.8824

d)

.5333

34.

If you are given 2 of the sides to an obtuse triangle, which trig function should you use to find the other side?

a)

sine

b)

cosine

c)

tangent

d)

You can only use trig functions on right triangles.

35.

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

a)

sine

b)

cosine

c)

tangent

d)

cotangent

36.

What is the value of x with a reason?

a)

$112\degree$

b)

$56\degree$

c)

The angle at the center is equal to twice the angle at the circumference.

d)

The angle at the center is equal to the angle at the circumference.

37.

Given: BCD is a diameter; $Angle\ D\ is\ =\ 23\degree$
What is the value of angle A with a reason?

a)

$90\degree$

b)

$67\degree$

c)

Angle in semicircle.

d)

angles on a straight line.

38.

Given: ABCD is a cyclic quadrilateral.
Are the following statements true or false?
$a+b=180\degree$
$c+d=180\degree$

a)

True

b)

False

39.

In the diagram given DCBE is a cyclic quadrilateral in the circle with centre O
Given: $angle\ D\ is\ 105\degree$
$angle\ B1\ is\ 30\degree$
What is the size of angle O1?

a)

$90\degree$

b)

$210\degree$

c)

$135\degree$

d)

$75\degree$

40.

The angle at the centre of a circle is ... the size of the angle at the circumference

a)

equal to

b)

twice

c)

three times

d)

four times

41.

What is the value of angle D in the given circle? With a reason.
Given: $Angle\ B\ is\ =27\degree$

a)

$27\degree$

b)

$54\degree$

c)

Angle in the same segment.

d)

Interior angles in a triangle equal $180\degree$

42.

Determine x.

a)

32

b)

16

c)

64

d)

21

43.

Find a.

a)

30

b)

21

c)

60

d)

120

44.

Calculate q.

a)

40

b)

140

c)

128

d)

52

45.

Find angle A.

a)

63

b)

21

c)

44

d)

85

46.

a)

66 degrees

b)

114 degrees

c)

132 degrees

d)

228 degrees

47.

Find angle A.

a)

43 degrees

b)

47 degrees

c)

86 degrees

d)

94 degrees

48.

What is the value of angle RST?

a)

86°

b)

43°

c)

172°

d)

90°

49.

How much does angle ACB measure?

a)

67.5°

b)

90°

c)

22.5°

d)

45°

50.

Find the value of cos X.

a)

3/4

b)

4/5

c)

5/4

d)

4/3

51.

What is the value of x with a reason?

a)

$112\degree$

b)

$56\degree$

c)

The angle at the center is equal to twice the angle at the circumference.

d)

The angle at the center is equal to the angle at the circumference.

52.

What is the value of angle D in the given circle? With a reason.
Given: $Angle\ B\ is\ =27\degree$

a)

$27\degree$

b)

$54\degree$

c)

Angle in the same segment.

d)

Interior angles in a triangle equal $180\degree$

53.

Name a chord.

a)

Segment XC

b)

Segment KM

c)

Segment HJ

d)

LINE BD

54.

If a line segment in drawn from the center of a circle onto a chord, what happens with the chord?

a)

The chord disappears.

b)

The chord is bisected.

c)

The angles are 90 degrees.

d)

The line from the center is perpendicular to the chord.

55.

If a line is drawn from the center of a circle to the chord and it bisects the chord, what will the relationship between this line and the chord be?

a)

They will be perpendicular

b)

They will be parallel

c)

They will be equal

d)

The chord will be bisected

56.

A line that intersects a circle at exactly one point

a)

secant

b)

circle

c)

chord

d)

tangent

57.

Find a.

a)

30

b)

21

c)

60

d)

120

58.

Determine y.

a)

30

b)

60

c)

90

d)

180

59.

Calculate q.

a)

40

b)

140

c)

128

d)

52

60.

Knowing that Angle B is 30.0 degrees, what is the measure of angle DEB?

(a)

61.

Knowing that line AF is a tangent, C is the center of the circle, and angle F is 29.0 degrees, what is the measure of angle ECD?

(a)

62.

Line CE is a perpendicular bisector for line AB.

If line CD is a measure of 6.0 cm, and line AB is a measure of 10.0 cm, what is the length of CF?

a)

10 cm

b)

6 cm

c)

7.8 cm

d)

5 cm

63.

Line ST is a tangent to the circle at point P. What is the measure of angle (x + y)?

a)

79

b)

80

c)

86

d)

90

64.

If point O is the center of the circle, what is length S?

*Do not round round till the end

The answer is rounded to the nearest tenth.

a)

7.25

b)

7.3

c)

7.2

d)

7.29

65.

The Earth’s diameter is 12,742 km. The horizon

is 32 km from the top of a lighthouse.

Determine the height of the lighthouse to the

nearest tenth of a meter.

(a)

66.

What is the radius?

a)

18

b)

72

c)

38

d)

14

67.

Is the red line a radius or diameter of the circle?

a)

Radius

b)

Diameter

68.

What is the diameter?

a)

8

b)

16

c)

10

d)

4

69.

What is the radius if the diameter is 12 m ?

a)

24 m

b)

6 m

c)

4 m

d)

48 m

70.

What is AB?

a)

diameter

b)

center

c)

circumference

d)

radius

71.

What is CB?

a)

diameter

b)

center

c)

circumference

d)

radius

72.

Which of the following is the definition of a Chord?

a)

Line that intersects a circle in two places

b)

Segment whose endpoints are on a circle

c)

Line that intersects the circle in OAOO point

d)

Segment whose endpoints are the center and any point on the circle

73.

Determine x.

a)

32

b)

16

c)

64

d)

21

74.

A tangent is a line that touches a circle at just one point and forms a right angle with the circle's radius.

a)

True

b)

False

75.

An angle whose vertex is on a circle and whose sides contain chords of the circle is the definition of an inscribed angle.

a)

True

b)

False

76.

A line in that intersects the circle at exactly one point is a ____________.

a)

tangent

b)

secant

c)

chord

d)

radius

77.

Find a.

a)

30

b)

21

c)

60

d)

120

78.

Determine y.

a)

30

b)

60

c)

90

d)

180

79.

Calculate q.

a)

40

b)

140

c)

128

d)

52

80.

Find angle A.

a)

63

b)

21

c)

44

d)

85

81.

a)

A

b)

B

c)

C

d)

D

82.

Name a radius.

a)

DE

b)

GA

c)

CB

d)

AB

83.

Find x

a)

10

b)

5

c)

18

d)

9

84.

Find the radius r

a)

2

b)

3

c)

4

d)

5

85.

Is line AB tangent to the circle?
Hint: is a right triangle formed?

a)

YES

b)

NO
NO

c)

Can't Tell
Can't Tell

86.

Find x.

a)

4.4

b)

8.3

c)

9.4

d)

8.8

87.

Name a chord.

a)

Segment XC

b)

Segment KM

c)

Segment HJ

d)

LINE BD

88.

inscribed angle: an angle with its vertex _____________ the circle

a)

at the center of

b)

on

89.

What is the name of the angle pictured?

a)

Central angle

b)

Inscribed angle

c)

Interscribed angle

d)

Circumscribed angle

90.

Find m∠PRQ.

a)

39°

b)

90°

c)

51°

d)

15°

91.

What do u call a pig that knows KARATE?

a)

Porkchop

b)

kid pig

c)

KUNG FU

d)

kapig

Y9 formative review triangles and circle geometry

Total questions: 91

Worksheet time: 11hrs 17mins

Similar Resources on Wayground