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WorksheetsM426 Finals Review - 2nd Semester
Total questions: 156
Worksheet time: 8hrs 43mins
Name
Class
Date
1.
Which side of the triangle is the Longest?
a)
AB
b)
BC
c)
AC
d)
<B
2.
Do the length of 15, 23, and 42 make a triangle?
a)
Yes, because the sum of 15 and 23 is greater then 42
b)
Yes, because the sum of 15 and 42 is greater then 23
c)
No, because the sum of 15 and 23 is equal to 42
d)
No, because the sum of 15 and 23 is Less then 42
3.
Given: XZ is the median, XY=8. Find WY.
a)
WY = 16
b)
WY = 8
c)
WY = 4
d)
WY = 32
4.
Given: XZ is the median, WY=14. Find XY.
a)
XY = 14
b)
XY = 7
c)
XY = 10
d)
XY = 28
5.
Given: SA is the altitude, ∠SRA = 9x + 18, ∠RAS = 8x + 34, ∠ATS = 11x - 9. Find the value of x.
a)
x = 7
b)
x = 8
c)
x = 9
d)
x = 10
6.
Given: AM is the median,
AB=4x-6, BM=2x-2 , MC=3x-14 , CA=5x-20 . Find the value of x.
AB=4x-6, BM=2x-2 , MC=3x-14 , CA=5x-20 . Find the value of x.
a)
x = 12
b)
x = 2
c)
x = 14
d)
x = -8
7.
Identify AD as a median, altitude, neither, or both according to what can be proved.
a)
Median
b)
Altitude
c)
Neither
d)
Both
8.
The figure is an example of a(n) ...
a)
angle bisector
b)
perpendicular bisector
c)
median
d)
midsegment
9.
What is the SUM of the INTERIOR angles of a 12-gon?
a)
3600
b)
1800
c)
2160
d)
12
10.
A polygon has a sum of interior angle measures equal to 1620°. How many sides does the polygon have?
a)
9
b)
11
c)
13
d)
7
11.
An exterior angle in a regular polygon has a measure of 18o. What is the sum of the interior angles in this polygon?
a)
180o
b)
3,240o
c)
1,440o
d)
360o
13.
What is the sum of the exterior angles of a 20-gon?
a)
180
b)
360
c)
3240
d)
162
13.
What is the sum of the exterior angles of a 20-gon?
a)
180
b)
360
c)
3240
d)
162
14.
Three of the angles in a quadrilateral have a sum of 252o. What is the measure of the fourth angle?
a)
108o
b)
360o
c)
72o
d)
56o
15.
Find the value of X.
a)
60
b)
120
c)
85
d)
55
16.
A polygon's interior angles add up to 2700. How many sides does the polygon have?
a)
17
b)
15
c)
19
d)
11
17.
Solve for X
a)
22
b)
16
c)
40
d)
35
18.
The figure is a parallelogram.
Solve for x.
Give a reason.
Solve for x.
Give a reason.
a)
1
b)
10
c)
4
d)
5
19.
The figure is a parallelogram.
Solve for x.
Give a reason.
Solve for x.
Give a reason.
a)
7
b)
1
c)
5
d)
2
20.
What is the best definition of a parallelogram?
a)
quadrilateral with one pair of parallel sides
b)
quadrilateral with two pairs of parallel sides
c)
any four sided figure with opposite sides congruent
d)
a quadrilateral with two pairs of congruent sides
21.
Diagonals of a parallelogram are congruent
a)
always true
b)
sometimes true
c)
never true
22.
diagonals of a square are congruent
a)
always true
b)
sometimes true
c)
never true
23.
Diagonals of a parallelogram bisect each other
a)
always true
b)
sometimes true
c)
never true
24.
Consecutive angles of a parallelogram are supplementary
a)
sometimes true
b)
always true
c)
never true
25.
Squares are rhombii
a)
sometimes true
b)
always true
c)
never true
26.
Rectangles are squares
a)
sometimes true
b)
always true
c)
never true
27.
A quadrilateral with 2 pairs of consecutive sides that are congruent.
a)
Rhombus
b)
Rectangle
c)
Kite
d)
Square
28.
In a parallelogram, opposite angles are ________.
a)
congruent
b)
supplementary
c)
consecutive
d)
parallel
29.
In a parallelogram, consecutive angles are __________.
a)
congruent
b)
supplementary
c)
corresponding
d)
parallel
30.
In a parallelogram, diagonals are __________.
a)
perpendicular
b)
bisected
c)
congruent
d)
parallel
31.
Determine whether the figure is a parallelogram. If so, state the reason.
a)
Yes, quadrilateral with 2 pairs of opposite sides ≅
b)
Yes, quadrilateral with 2 pairs of opposite angles ≅
c)
Yes, quad with diagonals bisecting each other
d)
not a parallelogram
32.
10. Given m∠E = 100°. What must be m∠F and m∠H to prove EFGH is a parallelogram?
a)
20
b)
80
c)
90
d)
100
33.
Determine whether the figure is a parallelogram. If so, state the reason.
a)
Yes, quadrilateral with 2 pairs of opposite sides ≅
b)
Yes, quad with any ∠ supplementary to both consecutive ∠s
c)
Yes, quad with 1 pair of opposite sides || and ≅
d)
not a parallelogram
34.
Determine whether the figure is a parallelogram. If so, state the reason.
a)
Yes, quadrilateral with 2 pairs of opposite sides ≅
b)
Yes, quad with 2 pair of opposite angles ≅
c)
Yes, quad with 1 pair of opposite sides || and ≅
d)
not a parallelogram
35.
Is this image a parallelogram?
a)
Yes
b)
No
36.
Given rectangle DEFG, if FD = 3x - 7 and EG = x + 5, find EG.
a)
6
b)
11
c)
7
d)
5
37.
Solve for x in the rectangle.
a)
25
b)
20
c)
30
d)
25/3
38.
A rectangle has all 4 congruent sides
a)
True
b)
False
39.
Which of the following is NOT always true about a rectangle?
a)
All sides are congruent.
b)
The diagonals are congruent.
c)
Any two opposite sides are congruent.
d)
All angles are right angles.
40.
The diagonals of a rhombus are
a)
parallel
b)
congruent
c)
perpendicular
d)
equal to the side lengths
41.
A rhombus is a parallelogram with
a)
four congruent sides
b)
four congruent diagonals
c)
four acute angles
d)
four congruent angles
42.
Given Rhombus TUVW. Find m∠2.
a)
62
b)
28
c)
90
d)
78
43.
Given Rhombus TUVW. Find m∠4.
a)
62
b)
28
c)
90
d)
78
44.
"Diagonals bisect pairs of opposite angles" is a property of:
a)
Rectangles
b)
Parallelograms
c)
Rhombuses
d)
Squares
45.
a)
90
b)
45
c)
30
d)
180
46.
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
47.
What is the measure of angle 1?
a)
48
b)
101
c)
105.5
d)
360
48.
What is x?
a)
35
b)
45
c)
55
d)
90
49.
The legs of an isosceles trapezoid are _____.
a)
parallel
b)
perpendicular
c)
congruent
d)
skew
50.
Base angles of an isosceles trapezoid are _____.
a)
neither
b)
supplementary
c)
congruent
51.
Find the midsegment.
a)
14
b)
28
c)
12
d)
16
52.
A trapezoid is a parallelogram.
a)
True
b)
False
53.
The diagonals of an isosceles trapezoid are congruent.
a)
True
b)
False
54.
Find the value of y.
a)
65
b)
110
c)
75
d)
None of these.
55.
A trapezoid is a quadrilateral with exactly one pair of _____ sides.
a)
parallel
b)
congruent
c)
perpendicular
d)
skew
56.
The diagonals in a kite __________.
a)
are perpendicular
b)
are congruent
c)
bisect each other
57.
A class has 30 students. 18 are boys. What is the ratio of boys to girls?
a)
12:18
b)
3:2
c)
30:18
d)
18:7
58.
Review the picture. Find the missing side measurement in the picture using a proportion.
a)
w = 18 m
b)
w = 6 m
c)
6 m
d)
w = 0.16 m
59.
What is the similarity statement for the triangle pair?
a)
ΔXYZ~ΔNEW
b)
ΔXZY~ΔNWE
c)
ΔZYX~ΔENW
d)
ΔYZX~ΔNWE
60.
If ABCDE ∼ GHJDF, then∠B is congruent to _______
a)
∠H
b)
∠D
c)
∠F
d)
∠J
61.
Are the triangles similar? If so, what similarity shortcut is used? Show all work.
a)
Similar. SAS
b)
Similar. AA
c)
Similar. SSS
d)
Not Similar
62.
Two objects that are the same shape but not the same size are _______.
a)
Congruent
b)
Vertical
c)
Similar
d)
Complementary
63.
The triangles are similar by...
a)
SAS
b)
AA
c)
ASA
d)
SSS
64.
Are the triangles similar?
a)
Yes
b)
No
65.
The triangles are similar by...
a)
SAS
b)
AA
c)
ASA
d)
SSS
66.
Gwen scans a photo that is 4 in. wide by 6 in. tall into her computer. If she scales the height down to 3 in., how wide should the similar photo be?
a)
3 in
b)
2 in.
c)
4 in
d)
1 in
67.
Find the perimeter of PQRS.
a)
164
b)
36
c)
82
d)
72
68.
The triangles are similar. Solve for f.
a)
6
b)
4
c)
3
d)
8
69.
Solve for x. The two figures are similar.
a)
x = 6
b)
x = 9
c)
x = 7
d)
x = `0
70.
The triangles are similar, solve for the question mark.
a)
8
b)
12.5
c)
18
d)
24
71.
Find the value of x.
a)
x = 4.5
b)
x = 9
c)
x = 30
d)
x = 3
72.
Solve for x.
a)
x = 5
b)
x = 3
c)
x = 14
d)
x = 1
73.
Solve for x using the given scale factor. The figures are similar.
a)
x = -10
b)
x = 13
c)
x = 10
d)
x = 8
74.
Do these 3 side lengths form a right triangle?
13, 80, and 81?
13, 80, and 81?
a)
yes
b)
no
75.
Find the length of the missing side.
a)
17 cm
b)
22 cm
c)
15 cm
d)
13 cm
76.
If three sides of a right triangle are 9, 40, and 41, which side is the hypotenuse?
a)
9
b)
40
c)
41
77.
What is the length of y in this picture?
a)
45
b)
5√2
c)
90
d)
5
78.
Which side is the long leg in this 30-60-90 triangle?
a)
4
b)
u
c)
v
79.
What are u and v in this 30-60-90 triangle?
a)
v = 2√3 u = 6
b)
v = 4 u = 4√3
c)
v = 4 u = 4√2
d)
v = 4√3 u = 8√3
80.
BONUS - Solve for x.
You will need to use 45-45-90 and 30-60-90 triangles.
You will need to use 45-45-90 and 30-60-90 triangles.
a)
10√3
b)
15
c)
5√3
d)
15√2
81.
Find x.
a)
2√3
b)
3√3
c)
6√3
d)
12
82.
Find x.
a)
9
b)
3√3
c)
6
d)
6√3
83.
Find a - the length of a leg of the triangle.
a)
5
b)
√2
c)
5√2
d)
2
84.
A triangle has the following side lengths:
AB = 12 units
BC = 10 units
AC = 16 units
What type of triangle does this make?
AB = 12 units
BC = 10 units
AC = 16 units
What type of triangle does this make?
a)
Acute
b)
Obtuse
c)
Right
85.
We can use SOH-CAH-TOA for...
a)
Any triangle ever
b)
Non-right triangles only
c)
Right Triangles only
d)
Never
86.
Find side AB?
a)
20 m
b)
5 m
c)
11.54 m
d)
8.66 m
87.
Choose the correct ratio.
a)
A
b)
B
c)
C
d)
D
88.
Solve for x.
a)
24.20
b)
4.92
c)
290.4
d)
29.75
89.
Find the measure of the indicated angle (?) round to the nearest tenth.
a)
9.4
b)
55.2
c)
20.15
d)
19.4
90.
Solve for the missing angle
a)
32°
b)
44°
c)
61°
d)
50°
91.
Solve for x.
a)
30°
b)
45°
c)
60°
d)
90°
92.
What is the circumference?
a)
48
b)
96
c)
24
d)
18
93.
What is the radius?
a)
18
b)
72
c)
38
d)
14
94.
Find the value of x.
a)
x = 17
b)
x = 16
c)
x = 29.67
d)
x = 18
95.
Solve for x.
a)
29°
b)
33°
c)
41.5°
d)
50°
96.
What is the measure of angle HKI?
a)
72
b)
73
c)
74
d)
75
97.
Determine the measure of Arc KM.
a)
A
b)
B
c)
C
d)
D
98.
a)
A
b)
B
c)
C
d)
D
99.
a)
A
b)
B
c)
C
d)
D
100.
8.
a)
67.5°
b)
90°
c)
22.5°
d)
45°
101.
What is the measure of arc DC?
a)
140
b)
98
c)
122
d)
61
102.
Find the measure of angle ABD.
a)
14
b)
51
c)
37
d)
65
103.
Which number best represents a tangent?
a)
3
b)
4
c)
5
d)
6
104.
What is the value of x?
a)
18
b)
8
c)
10
d)
30
105.
What is the length of TR?
a)
4
b)
6
c)
9
d)
11
106.
Find the length of BC.
a)
2
b)
3
c)
9
d)
14
107.
Solve for x.
a)
6
b)
7.94
c)
8
d)
9
108.
If the endpoints of an arc lie on a diameter, the arc is a ....
a)
major
b)
minor
c)
semicircle
d)
sector
109.
A ____arc is an arc whose points are on or in the exterior of a central angle
a)
minor
b)
major
c)
semicircle
d)
sector
110.
Find x
a)
10
b)
5
c)
18
d)
9
111.
Name a chord.
a)
Segment XC
b)
Segment KM
c)
Segment HJ
d)
LINE BD
112.
In the diagram, a tangent and a line drawn to the point of tangency form a right triangle. Solve for "?"
a)
-15
b)
6
c)
15
d)
14
113.
is the formula for?
a)
arc length
b)
area of a sector
c)
area of a segment
d)
arc measure
114.
FIND THE ARC LENGTH OF THE BOLDED ARC
a)
A
b)
B
c)
C
d)
D
115.
find the area
a)
352
b)
88
c)
176
d)
44
116.
find the area
a)
19.5
b)
78
c)
39
d)
27
117.
Find the area?
a)
15 in²
b)
30 in²
c)
15 in
d)
30 in
118.
What is the formula to find area of a trapezoid?
a)
Area=h· ((b1+b2)÷2)
b)
Area = bh
c)
Area = 1/2 ⋅b⋅h
d)
Area = :P
119.
Find the area of a regular octagon.
apothem = 4 m
side length = 5 m
apothem = 4 m
side length = 5 m
a)
160 m2
b)
40 m2
c)
80 m2
d)
20 m2
120.
The diagram shows the spot on a basketball court called the “key”. What is the area of the key? Use 3.14 for ∏ .
a)
284.52 ft2
b)
228 ft2
c)
317 ft2
d)
116.71 ft2
121.
Given a rectangle and 2 circles, find the area of the shaded region if the circles both have a radius of 5 inches.
a)
50 - 25π in2
b)
100 - 50π in2
c)
200 - 50π in2
d)
200 - 25π in2
122.
Find the area of the annulus.
a)
125π in2
b)
75π in2
c)
50π in2
d)
100π in2
123.
Find the area of the shaded region.
a)
144π - 288 cm2
b)
72π - 144 cm2
c)
144π - 72 cm2
d)
144π - 360 cm2
124.
Find the area of the segment of the circle.
a)
192π units2
b)
192π - 72√3 units2
c)
192π - 144√3 units2
d)
192π - 96√3 units2
125.
Find the area of a regular hexagon with a side length of 8 cm.
a)
96√3 cm2
b)
192√3 cm2
c)
16√3 cm2
d)
48√3 cm2
126.
Find the area of a regular dodecagon with a perimeter of 144 cm.
a)
1247 cm2
b)
1523 cm2
c)
1612.2 cm2
d)
1845 cm2
127.
Find the area of the shaded region.
a)
64 u2
b)
46.2 u2
c)
110.2 u2
d)
156.4 u2
128.
Find the area of the figure.
a)
16.56 sq in
b)
7.14 sq in
c)
10.28 sq in
129.
Find the area of an equilateral triangle with a side length of 10 km.
a)
43.3 km2
b)
47.2 km2
c)
50.3 km2
d)
120 km2
130.
Find the area of the trapezoid.
a)
72√3 m2
b)
96 + 18√3 m2
c)
96 + 24√3 m2
d)
144√3 m2
131.
Find the area of a rhombus with a perimeter of 40 meters and a diagonal of 8 meters.
a)
50√2 m2
b)
40 m2
c)
80 m2
d)
16√21 m2
132.
Find the area of a parallelogram with side lengths 9 cm and 6 cm with an included angle of 60o.
a)
54 cm2
b)
27√3 cm2
c)
18√3 cm2
d)
40.5√3 cm2
133.
What is the area of the shaded region?
a)
22 sq cm
b)
28 sq cm
c)
30 sq cm
d)
24 sq cm
134.
What is the area of the figure?
a)
50 squared cm
b)
25 squared cm
c)
40 squared cm
d)
35 squared cm
135.
Find the area of the non-shaded region
a)
560 u2
b)
672 u2
c)
112 u2
d)
784 u2
136.
What is the total surface area of the triangular prism shown?
a)
468 in2
b)
540 in2
c)
576 in2
d)
700 in2
137.
Find the surface area of this figure.
a)
148 cm²
b)
120 cm²
c)
50 cm2
d)
54 cm2
138.
What is the surface area of the cylinder to the nearest square inch?
a)
625 in2
b)
1300 in2
c)
1046 in2
d)
414 in2
139.
Find the Surface Area.
a)
15m2
b)
16m2
c)
18m2
d)
20m2
140.
Find the volume of this square pyramid.
a)
214.8 m3
b)
586.7 m3
c)
1818.2 m3
d)
not enough information
141.
Volume = ?
a)
150.72 mm3
b)
904.32 mm3
c)
2,712.96 mm3
d)
782 mm3
142.
Find the volume.
a)
14.13 in3
b)
56.52 in3
c)
169.56 in3
d)
145.72in3
143.
Find the volume to the nearest hundredth using 3.14 instead of Pi.
a)
12.56 ft3
b)
37.68 ft3
c)
18.84 ft3
d)
6.28 ft3
144.
What is the height of the cone?
a)
5 in
b)
12 in
c)
13 in
d)
10 in
145.
Find the slant height of the cone.
a)
5 in
b)
10.9 in
c)
12 in
d)
13 in
146.
What is the base shape of this prism?
a)
triangle
b)
rectangle
c)
square
d)
rhombus
147.
Find the volume of this shape
a)
1520.53
b)
276.46
c)
552.93
d)
6082.12
148.
Find the volume of the pentagonal prism if the base area is 39 sq mm.
a)
741 mm3
b)
173 mm3
c)
134 mm3
d)
58 mm3
149.
Find the lateral surface area of the figure.
a)
96 ft2
b)
192 ft2
c)
84 ft2
d)
108 ft2
150.
What is the volume?
a)
167.6 cm3
b)
502.7 cm3
c)
268.1 cm3
d)
125.7 cm3
151.
Find the Volume of the Composite Figure
a)
156 cubic feet
b)
132 cubic feet
c)
432 cubic feet
d)
180 cubic feet
152.
Ms. Hale is building a barn in her backyard. The painters are getting ready to paint the barn, but they need to know how much paint they will need. Calculate the amount of paint they will need to paint the outside of the square pyramid on top of the square prism.
a)
8160 cm2
b)
2400 cm2
c)
5856 cm2
d)
2304 cm2
153.
Find the volume to the nearest hundredth using 3.14 instead of Pi.
a)
12.56 ft3
b)
37.68 ft3
c)
18.84 ft3
d)
6.28 ft3
154.
A cone has a volume of 12π, and a radius of 2, what is the height?
a)
9
b)
12
c)
2
d)
3
155.
Are the triangles congruent, if yes, why?
a)
SSS
b)
SAS
c)
ASA
d)
AAS
156.
What is the range of values the third side of the triangle could be?
a)
A
b)
B
c)
C
d)
D
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