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G Semester Review Spring 2024

Total questions: 60

Worksheet time: 4hrs 0mins

Name
Class
Date
1.
Find the sum of the interior of angles in a 12-gon
a)
1800
b)
1080
c)
1620
d)
1260
2.
The Triangle Sum Theorem states that the sum of all angles in a triangle is ______. 
a)
45°
b)
90°
c)
180°
d)
360°
3.
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
4.

Which of the following is true about the diagonals of a rectangle? Select all that are true.

a)

Diagonals bisect each other

b)

Diagonals are congruent

c)

Diagonal are perpendicular

d)

Diagonals bisect the angles

5.
The figure is a parallelogram.  
Solve for x.  
a)
7
b)
2
c)
0
d)
4
6.

JKLM is an isosceles trapezoid. Find m∠Lm\angle L .



(a)  

7.
Find the value of X.
a)
100
b)
120
c)
125
d)
130
8.

Which of the following statements are true?

a)

BD and AC are perpendicular

b)

BD and AC are congruent

c)

∠A and ∠C are congruent

d)

AD and DC are congruent

9.
Solve for Angle 1 and Angle 2.
a)
1= 92, 2 = 46 degrees
b)
1 = 118, 2 = 118 degrees
c)
1 = 92, 2 = 92 
d)
1 = 136, 2 = 100 
10.
Find the measure of the x (midsegment):
a)
25
b)
9
c)
12
d)
15
11.

Give the reason for similarity

a)

AA

b)

SAS

c)

SSS

d)

Not similar

12.
The triangles are similar by...
a)
SAS
b)
AA
c)
ASA
d)
SSS
13.
Determine whether the triangles are similar or not. If so, state how they are similar.
a)
Yes, by AA Similarity
b)
Yes, by SAS Similarity
c)
Yes, by SSS Similarity
d)
No, not similar
14.
Find AE
a)
12.5
b)
18
c)
11.75
d)
13
15.
Find the missing length indicated. 
a)
16
b)
8
c)
10
d)
14
16.

Level 2

Solve for the value of y

a)

13

b)

5

c)

23

d)

10

17.
Find the missing side lengths.
a)
a = 4, b = 4
b)
a = 4, b = 2√2
c)
a = 2√2,  b = 4
d)
a = 4, b = 4
18.
What is the length of x in this 45-45-90 triangle?
a)
4√2
b)
4
c)
8
d)
4√3
19.

Find x.

a)

10

b)

10310\sqrt{3}

c)

10210\sqrt{2}

d)

20

20.

Find a.

a)

3

b)

333\sqrt{3}

c)

6

d)

3\sqrt{3}

21.
a)
6√4
b)
2
c)
4√6
d)
√6
22.
a)
A
b)
B
c)
C
d)
D
23.
Which trig function do you use?
a)
Sine
b)
Cosine
c)
Tangent
24.
Which trig function do you use?
a)
Sine
b)
Cosine
c)
Tangent
25.
Find the measure of the missing angle.
a)
28.1
b)
61.9
c)
25.2
d)
56.1
26.

After traveling 400m from the runway through the air, a plane is 300m above the ground. Calculate its angle of elevation.

a)

48.59

b)

0.053

c)

36.9

d)

95

27.

What formula would you use to find m<A?

a)

angle = 1/2 (arc + arc)

b)

angle = 1/2 (arc - arc)

c)

angle = 1/2(arc)

d)

circumscribed angle = 180 - central angle

28.
What is the measure of angle HKI?
a)
72
b)
73
c)
74
d)
75
29.
a)
4
b)
5
c)
6
d)
8
30.

Properties of Arcs and Angles: Segment EB is a diameter. What is the value of x?

a)

78

b)

166

c)

76

d)

152

31.

Solve for x. Assume that lines which appear tangent are tangent.

a)

3

b)

4

c)

5

d)

6

32.

Find the length of the bold arc.

a)

54.7 mi

b)

335.1 mi

c)

16.8 mi

d)

33.5 mi

33.
Find the area of each sector.
a)
4248 m2
b)
7.9 m2
c)
2827.4 m2
d)
11.8 m2
34.

Find the area.

a)

891 units2

b)

99 units2

c)

198 units2

d)

1782 units2

35.
Find the volume of the figure.
a)
126 cm3
b)
907.5 cm3
c)
605 cm3
d)
55 cm3
36.
Find the volume of the following cone.
a)
156 ∏ m3
b)
702∏ m3
c)
2,106∏ m3
d)
78∏ m3
37.
The Sphere above has a diameter of 20 centimeters.What would be the volume of the sphere?
a)
4,188.8
b)
1,333.3
c)
2,364.3
d)
5,000.3
38.

Find the SA.

a)

188.4

b)

2826

c)

1876

d)

60

39.

Find the volume of this shape. Use the pi key.

a)

6082.12 cm3

b)

276.46 cm3

c)

552.93 cm3

d)

1520.53 cm3

40.

What is the volume of the larger solid shown ?( round to nearest hundreds, type numerical only)

(a)  

41.

There were 6 purple socks and 4 orange socks in a drawer.

What is the probability of choosing a orange sock

(a)  

42.

Bob tosses two coins. What is the probability that he gets two heads?

(a)  

43.

A farm has 5 brown cows and 10 white cows. A fence is open and two cows escape. What is the probability that it will be a brown cow, then a white cow?

a)

1/9

b)

2/9

c)

5/21

d)

10/21

44.

In a drawer, there are 6 white socks, 4 black socks, and 2 brown socks. You pick out a sock, replace it, then pick out a 2nd sock. What is the probability that you will pick a brown, then black sock?

a)

1/11

b)

1/18

c)

1/36

d)

2/33

45.
What is the probability that a female is chose given they like a Toyota? 
a)
.525
b)
.4627
c)
.6774
d)
.3143
46.
P(Pizza|Senior):
a)
10/15
b)
4/5
c)
2/3
d)
10/5
47.
How would you solve?
A book club offers a choice of 8 books from a list of 40.  In how many ways can a member make a collection?
a)
Permutation
b)
Combination
c)
Factorial
d)
MPC
48.
Permutation, combination, or neither?
The batting order for seven players on a 12 person team.
a)
combination
b)
permutation
c)
neither
49.

How many ways can a club select a president, vice president, and a secretary from a group of 5 people?

a)

12

b)

60

c)

15

d)

125

50.

Four students need to be selected from a class

of 15 to help clean up the campus. How many different ways can the 4 students be chosen?

a)

32 760

b)

60

c)

1 365

51.
A Rhombus has congruent  ________
a)
Angles
b)
Sides
c)
Windows
d)
Doors
52.
In a rhombus, opposite angles are __________.
a)
congruent
b)
supplementary
c)
corresponding
d)
parallel
53.
A _______________ is a quadrilateral with two sets of parallel sides.
a)
trapezoid
b)
parallelogram
c)
kite
d)
triangle
54.
The opposite angles of a parallelogram are ...
a)
complementary
b)
congruent
c)
supplementary
d)
perpendicular
55.
The opposite sides of a parallelogram are congruent.
a)
true
b)
false
c)
maybe
d)
sometimes
56.
What is the ratio for Sine?
a)
Hyp/Opp
b)
Opp/Hyp
c)
Opp/Adj
d)
Adj/Opp
57.
What is the ratio for Cosine?
a)
Opp/Hyp
b)
Opp/Adj
c)
Adj/Opp
d)
Adj/Hyp
58.
What is the ratio for Tangent
a)
Opp/Hyp
b)
Adj/Opp
c)
Opp/Adj
d)
Hyp/Opp
59.

Determine which statement is false.

a)

FDE is a semicircle

b)

AE is a major arc

c)

DFB is a major arc

d)

FA is a minor arc

60.

What is the measure of the missing arc?

a)

160º

b)

95º

c)

80º

d)

180º

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