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Eoy review

Total questions: 133

Worksheet time: 5hrs 26mins

Name
Class
Date
1.
p → q
a)
conditional 
b)
converse
c)
inverse 
d)
contrapositive
2.
~p → ~q
a)
conditional
b)
converse
c)
inverse
d)
contrapositive
3.
q → p
a)
conditional
b)
converse
c)
inverse
d)
contrapositive
4.
~q → ~p
a)
conditional
b)
converse
c)
inverse
d)
contrapositive
5.
This symbol, ↔, means?
a)
and
b)
or 
c)
if and only if
d)
implies
6.

Refer to the following statement: "If a polygon is a quadrilateral, then it is a trapezoid."


What is the converse of this statement?

a)

If a polygon is not a quadrilateral, then it is not a trapezoid.

b)

If a polygon is not a trapezoid, then it is not a quadrilateral.

c)

If a polygon is a trapezoid, then it is a quadrilateral.

d)

A rectangle is also a quadrilateral.

7.

Refer to the following statement: "If a polygon is a quadrilateral, then it is a trapezoid."


What is the inverse of this statement?

a)

If the polygon is not a quadrilateral, then it is not a trapezoid.

b)

If the polygon is not a trapezoid, then it is not a quadrilateral.

c)

If the polygon is a trapezoid, then it is a quadrilateral.

d)

A rectangle is also a quadrilateral.

8.

Refer to the following statement: "If a polygon is a quadrilateral, then it is a trapezoid."


What is the contrapositive of this statement?

a)

If a polygon is a trapezoid, then it is a quadrilateral.

b)

If a polygon is not a quadrilateral, then it is not a trapezoid.

c)

If a polygon is not a trapezoid, then it is not a quadrilateral.

d)

A rectangle is also a quadrilateral.

9.

The statement "an angle is a right angle if and only if its measure is 90o" is an example of what type of statement?

a)

Conditional

b)

Conjecture

c)

Biconditional

10.
Write the following statement in if-then form.
All vertical angles are congruent.
a)
If two angles are vertical, then they are congruent.
b)
If two angles are congruent, then they are vertical.
11.

Based on the Table is the Statement in 2 true or false?

a)

T

b)

F

12.

"I do my homework,then I get my allowance."

What is the hypothesis?

a)

I get my allowance.

b)

I do my homework

c)

No answer

d)

All of the above

13.

What does (~) mean?

a)

To make negative

b)

To make positive

c)

To be nuetral

14.

If you live in Montreal, then you live in Canada

What is the converse?

a)

you live in canada

b)

None of the above

c)

If you live in Canada, then you live in Montreal

d)

All of the above

15.

How is the distance formula correctly written:

a)

d = (y1 − y2)2 −(x2 − x1)2 d\ =\ \sqrt{\left(y_{1\ }-\ y_2\right)^2\ -\left(x_{2\ }-\ x_1\right)^2}\

b)

d = (x2 − x1)2 + (y2 − y1 )2d\ =\ \sqrt{\left(x_{2\ }-\ x_1\right)^2\ +\ \left(y_{2_{\ }}-\ y_1\ \right)^2}

c)

d = (y1 − y 2)2 + (x2 − x1)2d\ =\ \sqrt{\left(y_{1\ }-\ y\ _2\right)^2\ +\ \left(x_{2\ }-\ x_1\right)}^2

d)

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

16.

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

a)

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

b)

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

c)

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

d)

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

17.

Find the distance between the points (4, 3) and (0, 6).

a)

3

b)

4

c)

5

d)

7

18.
Find the distance between (-5, -8) and (-1, -16).
a)
8.9
b)
9.8
c)
10.3
d)
11
19.

Find the distance.

a)

9.7

b)

10.7

c)

11.7

d)

12.7

20.
Find the distance between J and K.
a)
8.2
b)
7.7
c)
9
d)
10.2
21.
Find the midpoint between the two points: (-4,4) and (5,-1)
a)
(4,5)
b)
(3,4)
c)
(1/2, 1 1/2)
d)
(7,2)
22.
Find the midpoint between the two points: (-1,1) and (5,-5)
a)
(3,-3)
b)
(2,-2)
c)
(4,-4)
d)
(4,5)
23.
Find the midpoint of the segment with the endpoints:(6, 7) and (6, -5) 
a)
(0, -1)
b)
(6, 1)
c)
(1, 6)
d)
(0, 1)
24.
Find the midpoint of the segment with the endpoints:  (-4, 5) and (7, -9) 
a)
(-1.5, 2)
b)
(5.5, -7)
c)
(-2, 1.5)
d)
(1.5, -2)
25.
Find the midpoint of the segment with the endpoints:(1, 7) and (9, 0) 
a)
(4, 3.5)
b)
(3.5, 5)
c)
(3.5, 4.5)
d)
(5, 3.5)
26.
What is the midpoint between (-4, 4) and (-2, 2)?
a)
(-6, 6)
b)
(-3, 3)
c)
(1, 3.5)
d)
(-6, 3)
27.
Find the midpoint between the two points:  (-4,4) and (-2,2)
a)
(3,2)
b)
(-3,3)
c)
(4,5)
d)
(6,7)
28.
  Find the missing endpoint if the midpoint is at (2, -5) and one endpoint is at (12, -5).
a)
(2, -5)
b)
(10, -8)
c)
(-8, -5)
d)
(12, -5)
29.
Find the midpoint of an imaginary diagonal AC of ABCD.
a)
(1, 3)
b)
(5, 4)
c)
(6, 4)
d)
(0, 4)
30.
What is the midpoint between (3, -1) and (8, -6)
a)
(11, -7)
b)
(-5.5, -3.5)
c)
(5.5, -3.5)
d)
(2, -2)
31.
Find the midpoint of the segment with the endpoints:(4, 12) and (-6, 14)
a)
(-1, 13)
b)
(13, 1)
c)
(13, -1)
d)
(5, 13)
32.
Find the endpoint of the segment with the endpoint of  (-4, 5) and midpoint of (7, -9) 
a)
(18, 13)
b)
(13, 18)
c)
(11,4)
d)
(1.5, -2)
33.
Find the endpoint given the midpoint (3,4) and the other endpoint (-1,6)
a)
(1,5)
b)
(2,10)
c)
(7,2)
d)
(1,2)
34.
Find the endpoint of the segment with endpoint (4, 12) and midpoint (-1, 13)
a)
(-6, 14)
b)
(-4, -12)
c)
(13, -1)
d)
(5, 13)
35.
What is the midpoint between (-4, 4) and (-2, 2)
a)
(-6, 6)
b)
(-3, 3)
c)
(1, 3.5)
d)
(-6, 3)
36.
What is the midpoint between (8, -3) and (2, 5)
a)
(5, 1)
b)
(10, 2)
c)
(-5, -1)
d)
(3, 4)
37.
Find the endpoint of the segment with the endpoint of  (-4, 5) and midpoint of (7, -9) 
a)
(18, 13)
b)
(13, 18)
c)
(11,4)
d)
(1.5, -2)
38.

What angle is the same side interior angle to angle 4?

a)

angle 3

b)

angle 5

c)

angle 6

d)

angle 8

39.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
40.
Name the angle relationship.
a)
Consecutive Interior
b)
Alternate Interior
c)
Corresponding
d)
Vertical Angles
41.
What type of angle pair is ∠1 and ∠3?
a)
alternate interior angles
b)
 supplementary angles
c)
corresponding angles
d)
vertical angles 
42.
Name the corresponding angle to angle 4.
a)
angle 8
b)
angle 6
c)
angle 2
d)
angle 5
43.
What are supplementary angles?
a)
Angles that add up to 180°
b)
Angles that add up to 90°
c)
Angles that are equal to each other
d)
Angles that are opposite of each other when lines intersect
44.
What angle pair is pictured?
a)
Alternate Interior Angles
b)
Supplementary Angles
c)
Vertical Angles
d)
Corresponding Angles
45.
State the angle relationship and find the measure of angle 1
a)
Corresponding
110
b)
Alternate Exterior
110
c)
Corresponding
70
d)
Alternate Exterior
70
46.
Which of these angles is NOT congruent to angle 5?
a)
Angle 6
b)
Angle 8
c)
Angle 1
d)
Angle 4
47.
A line that passes through parallel lines is called a ______________.
a)
transitive
b)
passer through line
c)
transversal
d)
bisector
48.
Angle 1 = 27o
Find the measure of angle 4
a)
27o
b)
153o
c)
63o
d)
90o
49.
What is the value of x?
a)
45
b)
54
c)
126
d)
135
50.
What is the value of x?
a)
27
b)
72
c)
108
d)
153
51.

What type of angles are these?

a)

Adjacent Angles

b)

Linear Pair

c)

Complementary Angles

d)

Supplementary Angles

e)

Vertical Angles

52.

Which angles are vertical angles?

a)

∠8  and ∠7\angle8\ \ and\ \angle7

b)

∠8 and ∠6\angle8\ and\ \angle6

c)

∠8 and ∠5\angle8\ and\ \angle5

53.

Which angle is a linear pair with ∠1\angle1  ?

a)

∠2\angle2  

b)

∠3\angle3  

c)

∠4\angle4  

d)

∠5\angle5  

e)

∠6\angle6  

54.

Which angles are non-adjacent with ∠8\angle8  ?
 (mark all that apply)

a)

∠2\angle2  

b)

∠3\angle3  

c)

∠4\angle4  

d)

∠5\angle5  

e)

∠1\angle1  

55.

Which angle is a vertical angle to with ∠7\angle7  ?

a)

∠1\angle1  

b)

∠5\angle5  

c)

∠3\angle3  

d)

∠6\angle6  

e)

∠9\angle9  

56.
a)

x = 118

b)

x = 108

c)

x = 28

d)

x = 58

e)

x = 62

57.
Find the missing angle.  Find x.
a)
20o
b)
70o
c)
160o
d)
180o
58.
This is what kind of angle?
a)
obtuse
b)
right
c)
straight
d)
acute
59.

What angle is vertical to angle 2?

a)

∠4

b)

∠1

c)

∠2

d)

∠5

60.

Which are pairs of vertical angles?

a)

∠COB and ∠COA

b)

∠AOD and ∠AOC

c)

∠COB and ∠AOD

d)

∠BOD and ∠AOD

61.

Which are pairs of adjacent angles?

a)

∠COB and ∠DOA

b)

∠AOD and ∠AOC

c)

∠COB and ∠AOD

d)

∠BOD and ∠AOC

62.
Which names a pair of adjacent angles?
a)
∠CXD and ∠FXE
b)
∠CXF and ∠DXE
c)
∠CXD and ∠DXE
63.
Vertical angles are always
a)
acute
b)
total 180 degrees
c)
congruent (equal measures)
d)
adjacent angles
64.
What is the value of x?
a)
37
b)
72
c)
108
d)
18
65.

REVIEW: What is the slope of the line:  y=23x+4y=\frac{2}{3}x+4  

a)

23\frac{2}{3}  

b)

−23-\frac{2}{3}  

c)

32\frac{3}{2}  

d)

44  

e)

−4-4  

66.

Which two lines are parallel?

a)

y=37x−25y=\frac{3}{7}x-25

b)

y=37x+2y=\frac{3}{7}x+2

c)

y=73x−25y=\frac{7}{3}x-25

d)

y=3x+13y=3x+13

e)

y=7x+9y=7x+9

67.

Which two lines are parallel?

a)

y=−14x−25y=-\frac{1}{4}x-25

b)

y=14x+2y=\frac{1}{4}x+2

c)

y=−4x−25y=-4x-25

d)

y=4x+13y=4x+13

e)

y=14x+9y=\frac{1}{4}x+9

68.

Which line is parallel to the line:  5x+6y=125x+6y=12  

a)

y=−56x−2y=-\frac{5}{6}x-2  

b)

y=56x+13y=\frac{5}{6}x+13  

c)

y=5x+11y=5x+11  

d)

y=−5x−100y=-5x-100  

69.

Which lines are parallel to the line:  5x+8y=325x+8y=32  

a)

y=58x−1y=\frac{5}{8}x-1  

b)

y=−58x+13y=-\frac{5}{8}x+13  

c)

y−12=58(x+13)y-12=\frac{5}{8}\left(x+13\right)  

d)

y−5=58(x+8)y-5=\frac{5}{8}\left(x+8\right)  

e)

y−2=−58(x+3)y-2=-\frac{5}{8}\left(x+3\right)  

70.

What is the reciprocal of:  85\frac{8}{5}  

a)

85\frac{8}{5}  

b)

−85-\frac{8}{5}  

c)

−58-\frac{5}{8}  

d)

58\frac{5}{8}  

71.

Which two lines are perpendicular?

a)

y=37x−25y=\frac{3}{7}x-25

b)

y=−37x+2y=-\frac{3}{7}x+2

c)

y=−73x−25y=-\frac{7}{3}x-25

d)

y=3x+13y=3x+13

e)

y=7x+9y=7x+9

72.

Which line(s) are perpendicular to the line:  8x+2y=228x+2y=22  

a)

y=14x−1y=\frac{1}{4}x-1  

b)

y=−14x+13y=-\frac{1}{4}x+13  

c)

y−12=−14(x+13)y-12=-\frac{1}{4}\left(x+13\right)  

d)

y−5=4(x+8)y-5=4\left(x+8\right)  

e)

y−2=14(x+3)y-2=\frac{1}{4}\left(x+3\right)  

73.

What do we call lines that cross?

a)

Parallel

b)

Perpendicular

c)

Intersecting

74.

Will these lines ever intersect? How do you know?

4 lines
75.

What do we call lines that will never intersect?

a)

Parallel

b)

Perpendicular

c)

Intersecting

76.

These lines are parallel because they will never touch

a)

true

b)

false

77.

Are these lines parallel?

a)

Yes

b)

No

78.

What do we call lines that intersect and form 90 degree angles?

a)

Parallel

b)

Perpendicular

c)

Intersecting

79.

Are these perpendicular lines?

a)

No

b)

Yes

80.

I know these are perpendicular lines because. They form a ___ where they cross.

a)

right angle

b)

90 degree angle

c)

acute angle

d)

obtuse angle

81.

These are perpendicular lines

a)

False

b)

True

82.
Find the length of the missing side. 
a)
17 cm
b)
22 cm
c)
15 cm
d)
13 cm
83.
Find the length of the missing side. 
a)
20 in.
b)
68 in.
c)
16 in.
d)
80 in.
84.
solve for c
a)
7
b)
9
c)
4
d)
13
85.

Would you use Sin, Cos or Tan to solve?

a)

Sin

b)

Cos

c)

Tan

86.

Would you use Sin, Cos or Tan to solve?

a)

Sin

b)

Cos

c)

Tan

87.

Would you use Sin, Cos or Tan to solve?

a)

Sin

b)

Cos

c)

Tan

88.
Choose the correct ratio.
a)
sin(37)=x/14
b)
cos(37)=x/14
c)
tan(37)=x/14
d)
sin(37)=14/x
89.
Find the measure of the missing angle.
a)
64o
b)
26o
c)
61o
d)
.008o
90.
Choose the correct ratio.
a)
cos(33)=x/14
b)
sin(33)=x/14
c)
cos(33)=14/x
d)
sin(33)=14/x
91.
Which is the correct set up to solve for x?
a)
sin 51 = 14 / x
b)
cos 51 = x / 14
c)
sin 51 = x / 14
d)
cos 51 = 14 / x
92.
Which is the correct set up to solve for x?
a)
sin 72 = 6 / x
b)
cos 72 = 6 / x
c)
tan 72 = 6 / x
93.
Find x round to the nearest tenth.
a)
46.1
b)
4.9
c)
16.4
d)
26.9
94.

Solve for the missing angle.

a)

32°

b)

44°

c)

61°

d)

50°

95.
Find x round to the nearest tenth.
a)
46.1
b)
4.9
c)
16.4
d)
26.9
96.
Solve for x. Round to the nearest tenth.
a)
103.5
b)
4.7
c)
55.0
d)
23.4
97.
Solve for x. Round to the nearest tenth.
a)
9.8
b)
0.1
c)
0.038
d)
9.9
98.
Find the measurement of the missing side indicated
a)
4.39
b)
3.21
c)
2.19
d)
2.05
99.
Find the measurement of the missing side indicated
a)
4.39
b)
3.21
c)
2.19
d)
2.05
100.
Solve for x.
a)
24.20
b)
4.92
c)
290.4
d)
29.75
101.

Find the sin C

a)

3/5

b)

3/4

c)

4/5

d)

5/3

e)

5/4

102.

Find the cos B

a)

3/5

b)

3/4

c)

4/5

d)

5/4

103.
Choose the correct ratio.
a)
cos(33)=x/14
b)
sin(33)=x/14
c)
cos(33)=14/x
d)
sin(33)=14/x
104.

Find the value of x, to the nearest tenth.

Write out and submit work.

a)

6.3

b)

7.4

c)

5.2

d)

8.1

105.

SPEED ROUND: If angle Θ is at point A, which side is b?

a)

Opposite

b)

Adjacent

c)

Hypotenuse

106.

SPEED ROUND: If angle Θ is at point A, which side is a?

a)

Opposite

b)

Adjacent

c)

Hypotenuse

107.

SPEED ROUND: If angle Θ is at point B, which side is a?

a)

Opposite

b)

Adjacent

c)

Hypotenuse

108.

SPEED ROUND: If angle Θ is at point B, which side is c?

a)

Opposite

b)

Adjacent

c)

Hypotenuse

109.

SPEED ROUND: If angle Θ is at point B, which side is b?

a)

Opposite

b)

Adjacent

c)

Hypotenuse

110.

Solve for side y.

a)

8.7

b)

13

c)

12

d)

3.7

111.

Solve for side x.

a)

9.7

b)

13

c)

17

d)

19

112.

Solve for the side opposite angle Θ.

a)

14

b)

9.0

c)

11

d)

4.9

113.

Solve for the side adjacent angle Θ.

a)

13

b)

6.0

c)

11

d)

4.9

114.
If you are given the opposite side and hypotenuse, which trig function should you use?
a)
sine
b)
cosine
c)
tangent
d)
cotangent
115.
If you are given the hypotenuse and an adjacent side, which trig function should you use?
a)
sine
b)
cosine
c)
tangent
d)
cotangent
116.
a)
24/32
b)
32/24
c)
32/40
d)
24/40
117.
a)
14/48
b)
48/50
c)
14/50
d)
48/14
118.
Choose the correct ratio.
a)
cos(33)=x/14
b)
sin(33)=x/14
c)
cos(33)=14/x
d)
sin(33)=14/x
119.
Which trigonometric ratio is correct?
a)
sinA= opp/adj
b)
cosA= opp/hyp
c)
tanA= opp/adj
d)
sinA= adj/opp
120.
What equation can be used to solve for x?
a)
Sin(40°)= x/40 
b)
Sin(40º)=x/19
c)
Cos(40º)=x/19
d)
Tan(40°)=19/x
121.
Solve for x. Round to the nearest tenth.
a)
103.5
b)
4.7
c)
55.0
d)
23.4
122.
Which one is the easy way to remember trigonometric ratios?
a)
Sah Coh Toa
b)
Soh Cah Toa
c)
Soh Cah Tao
d)
Soh Ceh Toa
123.
Which is the correct set up to solve for x?
a)
sin 72 = 6 / x
b)
cos 72 = 6 / x
c)
tan 72 = 6 / x
124.
Which is the correct set up to solve for x?
a)
sin 24 = x / 12
b)
cos 24 = x / 12
c)
tan 24 = x / 12
125.
Which is the correct set up to solve for x?
a)
cos 55 = x / 29
b)
sin 55 = 29 / x
c)
tan 55 = 29 / x
d)
cos 29 = x / 55
126.
Which Trig function do you use?
a)
Sine
b)
Cosine
c)
Tangent
127.
Choose the correct ratio.
a)
cos(33)=x/14
b)
sin(33)=x/14
c)
cos(33)=14/x
d)
sin(33)=14/x
128.
Give the Ratio for SIN X
a)
opp/adj
b)
Adj/hyp
c)
Opp/hyp
d)
adj/opp
129.
Give the Ratio for COS X
a)
Adj/Hyp
b)
Opp/Adj
c)
Adj/Opp
d)
Opp/Hyp
130.
Which side is opposite angle x?
a)
1
b)
2
c)
3
131.
Which side is the hypotenuse?
a)
1
b)
2
c)
3
132.
Which trig function do you use?
a)
Sine
b)
Cosine
c)
Tangent
133.
Which trig function do you use?
a)
Sine
b)
Cosine
c)
Tangent