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WorksheetsGeometry Final Exam Practice
Total questions: 136
Worksheet time: 2hrs 16mins
Solve for x. 1) Where JI = 3x - 1, IH = 11, and JH = 4x + 6. What is the value of x?
(a)
Solve for x. 2) Where BC = 11x + 1, CD = 8, and BD = 19x + 1. What is the value of x?
x = 1
x = 2
x = 0
x = -1
Classify each angle as acute, obtuse, right, or straight.
Acute
Obtuse
Right
Straight
Classify angle UGF as acute, obtuse, right, or straight.
Acute
Obtuse
Right
Straight
m∠STB = x + 29, m∠BTU = x + 159, and m∠STU = 170°. Find x.
(a)
Find x if m∠FGH = 14x + 7, m∠FGU = x + 10, and m∠UGH = 140°.
x = 9
x = 8
x = 11
x = 7
Name the relationship between angles a and b shown in the diagram.
adjacent
vertical
linear pair
complementary
alternate interior
Name the relationship of angles a and b in the diagram.
Alternate Exterior
corresponding
Consecutive Interior
Vertical
linear pair
Find the measure of angle b.
b = 71°
b = 109°
b = 19°
b = 90°
Find the measure of angle b.
b = 138°
b = 42°
b = 90°
b = 180°
Solve for x, and Name the Relationship.
x = 7, Corresponding Angles
x = 10, Supplementary Angles
x = 8, Complementary Angles
x = 12, Linear Pair
Solve for x, and Name the Relationship.
x = 6, Alternate Exterior Angles
x = 7, Alternate Interior Angles
x = 8, Vertical Angles
x = 9, Supplementary Angles
Find the midpoint of the line segment with the given endpoints: (6, 7), (3, 3)
Midpoint: (4.5, 5)
Midpoint: (5, 4.5)
Midpoint: (3, 7)
Midpoint: (6, 3)
Find the midpoint of the line segment with the given endpoints: (4, 2), (10, 10)
Midpoint: (8, 8)
Midpoint: (6, 5)
Midpoint: (7, 6)
Midpoint: (5, 4)
Find the distance between each pair of points: (-5, -5), (0, 2)
Distance: √74 or approximately 8.6
Distance: √49 or approximately 7
Distance: √100 or approximately 10
Distance: √50 or approximately 7.1
Find the distance between each pair of points: (-3, 5), (4, 6)
Distance: √50 or approximately 7.1
Distance: √30 or approximately 5.5
Distance: √65 or approximately 8.1
Distance: √20 or approximately 4.5
Find the slope of each line.
The slope is 1.
The slope is 0.
The slope is -1.
The slope is 2.
Find the slope of each line.
The slope is -1.
The slope is 0.
The slope is 1.
The slope is 2.
Find the slope of the line through each pair of points: (-13, -19), (10, 1)
The slope is 20/23.
The slope is 23/20.
The slope is -20/23.
The slope is -23/20.
Find the slope of the line through each pair of points: (13, 20), (-9, -12)
The slope is 32/22 or 16/11.
The slope is 22/32 or 11/16.
The slope is -32/22 or -16/11.
The slope is 25/21 or 25/21.
Find the slope of a line parallel to y = −51x +4
The slope is -1/5.
The slope is 5.
The slope is 1/5.
The slope is -5.
Find the slope of a line parallel to y = −58x−3
The slope is -8/5
The slope is 8/5
The slope is 5/8
The slope is -5/8
Find the slope of a line perpendicular to: y=45x
The slope is -4/5.
The slope is 5/4.
The slope is 4/5.
The slope is -5/4.
Find the slope of a line perpendicular to: y = x + 4
The slope is -1.
The slope is 1.
The slope is 0.
The slope is 4.
Write the slope-intercept form of the equation of the line shown in the graph.
y = (1/3)x - 3
y = 3x + 3
y = -3x - 3
y = -(1/3)x + 3
Write the slope-intercept form of the equation of the line shown in the graph.
y = (4/3)x + 3
y = -(3/4)x + 3
y = (4/3)x - 3
y = -(3/4)x - 3
Classify the triangle by its angles and sides.
Obtuse, Isosceles
Acute, Isosceles
Acute, Scalene
Obtuse, Scalene
Equiangular, Equilateral
Classify the triangle by its angles and sides.
Scalene, Right
Scalene, Obtuse
Isosceles, Right
Scalene, Acute
Isosceles, Acute
Solve for x.
x = -9
x = 9
x = -6
x = 6
Solve for x.
x = -3
x = 3
x = -13
x = 13
Solve for x.
x = 6
x = 8
x = 10
x = 12
Solve for x.
x = 12
x = 10
x = 15
x = 8
Write a statement that indicates that the triangles in each pair are congruent. (Refer to the diagram with triangles ABC and MKC)
△ABC ≅ △KCM
△ABC ≅ △KMC
△ABC ≅ △CBK
△ABC ≅ △MCK
Write a statement that indicates that the triangles in each pair are congruent. (Refer to the diagram with triangles HFG and BFC)
△HFG ≅ △CFB
△HFG ≅ △FBC
△HFG ≅ △CBF
△HFG ≅ △HFB
Find the value of x. (Refer to the diagram)
x = 102°
x = 39°
x = 141°
x = 69°
Find the value of x. (Refer to the diagram)
x = 60°
x = 45°
x = 90°
x = 120°
Solve for x. (Refer to the diagram)
x = 8
x = 2
x = -6
x = 4
Solve for x. (Refer to the diagram)
x = 12
x = -12
x = 24
x = -24
The figure shows a triangle with one of its angle bisectors. Find x if m∠2 = x + 12 and m∠1 = 2x + 4.
x = 8
x = 10
x = 6
x = 12
The figure shows a triangle with one of its angle bisectors. Find x if m∠2 = 14x – 2 and m∠VTU = 25x + 2.
x = 2
x = 1
x = 4
x = 3
State the most specific name for each figure.
Square
Parallelogram
Rectangle
Rhombus
Quadrilateral
State the most specific name for each figure.
Quadrilateral
Parallelogram
Rectangle
Rhombus
Kite
Solve for x.
x = 4
x = 8
x = 5
Solve for x.
x = 1
x = 2
x = 3
x = 4
Solve for x. The figure is a parallelogram.
x = 6
x = 11.25
x = 5
Solve for x. The figure is a parallelogram.
x = 11
x = 22
x = 4
In the trapezoid VWUT, the parallel sides are VU = 22, WT = 26, and DE = 6x - 24. Find the value of x.
x = 8
x = 6
x = 12
x = 10
In the trapezoid STRU, the parallel sides are ST = 22, RU = 24, and MN = 13x - 3. Find the value of x.
x = 2
x = 3
x = 1
x = 4
Find the value of x for rhombus HGEF
x = 1
x = 5
x = 20
For rhombus FEGH, Find the value of x.
x = 1
x = 0
x = 2
x = 14
For kite BCDE, Find the value of x.
x = 42
x = 1
x = 0
x = 20
For Kite BCDA, Find the value of x.
x = 10
x = 0
x = 15
Find the interior angle sum for each polygon. Round your answer to the nearest tenth if necessary.
1080 degrees
1800 degrees
1620 degrees
1440 degrees
Find the interior angle sum for the polygon. Round your answer to the nearest tenth if necessary.
360 degrees
180 degrees
540 degrees
720 degrees
Find the measure of one interior angle in the regular polygon. Round your answer to the nearest tenth if necessary.
120 degrees
100 degrees
135 degrees
150 degrees
Find the measure of one interior angle in the regular polygon. Round your answer to the nearest tenth if necessary.
108 degrees
120 degrees
100 degrees
90 degrees
Find the measure of one exterior angle in the regular polygon. Round your answer to the nearest tenth if necessary.
60degrees
90 degrees
45 degrees
30 degrees
Find the measure of one exterior angle in the regular polygon. Round your answer to the nearest tenth if necessary.
45 degrees
36 degrees
60 degrees
22.5 degrees
Write the name of the polygon.
Pentagon
Hexagon
Octagon
Triangle
Write the name of the polygon.
Square
Triangle
Rectangle
Pentagon
Solve each proportion.
3a−2=89
a = 5.375
a = 6.25
a = 4.5
a = 7
Solve each proportion. 9x+7=73
x = -3.14
x = 3.14
x = -3
x = 3
The polygons in each pair are similar. Find the scale factor of the smaller figure to the larger figure.
1:2
2:3
3:4
1:3
The polygons in each pair are similar. Find the scale factor of the smaller figure to the larger figure.
1:4
2:5
1:3
The polygons in each pair are similar. Scale factor from A to B = 1:2. Find the missing side length.
5
20
1
The polygons in each pair are similar. Scale factor from A to B = 4:5. Find the missing side length.
30
21
35
State if the triangles in each pair are similar. If so, state how you know they are similar and complete the similarity statement.
ΔFED ~ ΔSUT
ΔSUT ~ ΔDEF
ΔFED ~ ΔTUS
The triangles are not similar
State if the triangles in each pair are similar. If so, state how you know they are similar and complete the similarity statement.
ΔKLM ~ ΔKUV
ΔKLM ≅ ΔKUV
ΔKLM ~ ΔLMK
ΔKLM ≅ ΔLMK
Find the missing length indicated using the figure provided.
12
9
15
18
Find the missing length indicated using the figure provided.
8
6
10
12
Find the missing side of the triangle. Round your answers to the nearest tenth if necessary.
10 cm
12 cm
9 cm
7 cm
Find the missing side of the triangle. Round your answers to the nearest tenth if necessary.
11 mi
7 mi
13 mi
9.2 mi
Find the missing side. Round to the nearest tenth.
x = 14.3
x = 15.6
x = 31.2
x = 5.4
Find the missing side. Round to the nearest tenth.
x = 21.1
x = 28.4
x = 25.6
x = 9.5
Find the area of the rectangle.
62.41 in2
67.24 in2
64.78 in2
64 in2
Find the area of the rectangle.
14.44 yd2
16 yd2
15.2 yd2
15.2 ft2
Find the area of the triangle
38.5 mi2
77 mi2
15.4 mi2
8.5 mi2
Find the area of the triangle
24 in2
12 in2
48 in2
36 in2
Find the area of each regular polygon. Round your answer to the nearest tenth if necessary.
Area = 43.5 square units
Area = 29.0 square units
Area = 58.0 square units
Area = 25.0 square units
Find the area of each regular polygon. Round your answer to the nearest tenth if necessary.
Area = 114.8 square units
Area = 574.1 square units
Area = 287.1 square units
Area = 1481 square units
Find the area of the regular hexagon shown. The apothem is 8 units. Leave your answer in simplest form.
96√3
64√3
128√3
256√3
Find the area of the regular triangle shown. The apothem is (8√3)/3 units. Leave your answer in simplest form.
32√3
24√3
128√3
64√3
Find the area of the regular hexagon shown. Leave your answer in simplest form.
21693
2263
3523
3483
Find the area of the regular polygon shown. Leave your answer in simplest form.
284√3
144√3
588√3
493√3
Find the area of the regular hexagon shown. Leave your answer in simplest form.
32√3/3
512√3
364/3
325
Find the area of the regular triangle shown. The radius is 20 units. Leave your answer in simplest form.
100√3
200√3
400√3
300√3
Name each figure.
Square pyramid
Cube
Rectangular prism
Triangular prism
Name each figure.
Cylinder
Cube
Sphere
Cone
Find the surface area of the figure. Round your answers to the nearest hundredth, if necessary.
565.49 cm²
452.39 cm²
678.58 cm²
527.79 cm²
Find the surface area of the figure. Round your answers to the nearest hundredth, if necessary.
22.7 ft²
28.6 ft²
36.4 ft²
42.8 ft²
Find the volume of the figure. Round your answers to the nearest hundredth, if necessary.
2544.69 m³
2010.62 m³
2035.75 m³
2827.43 m³
Find the volume of the figure. Round your answers to the nearest hundredth, if necessary.
1436.76 m³
1200.50 m³
1580.25 m³
1350.00 m³
Find the area of a circle with a radius of 3 mi.
28.3 mi2
18.8 mi2
56.5 mi2
9.4 mi2
Find the area of a circle with a radius of 12 mi.
452.4 mi2
301.6 mi2
314.2 mi2
500.0 mi2
Find the area of a sector with a radius of 15 in and a central angle of 270°.
477.5 in2
530.1 in2
318.3 in2
190.9 in2
Find the area of a sector with a radius of 18 m and a central angle of 225°.
636.2 m2
450.0 m2
800.5 m2
900.0 m2
Find the measure of the arc or central angle indicated. Assume that lines which appear to be diameters are actual diameters.
182°
134°
120°
150°
Find the measure of the arc or central angle indicated. Assume that lines which appear to be diameters are actual diameters.
245°
120°
180°
105°
Find the length of the segment indicated. Round your answer to the nearest tenth if necessary.
x = 12.6
x = 9.8
x = 13.3
x = 21.7
Find the length of the segment indicated. Round your answer to the nearest tenth if necessary.
x = 28.0
x = 23.8
x = 29.3
x = 26.5
Find the circumference of the circle. Use your calculator's value of π. Round your answer to the nearest tenth.
50.3 cm2
201.1 cm2
100.5 cm2
76.8 cm2
Find the circumference of the circle. Use your calculator's value of π. Round your answer to the nearest tenth.
50.3 cm
25.1 cm
12.6 cm
100.5 cm
Find the circumference of the circle. Use your calculator's value of π. Round your answer to the nearest tenth.
62.8 cm
314.2 cm
31.4 cm
157.1 cm
Find the circumference of the circle. Use your calculator's value of π. Round your answer to the nearest tenth.
84.2 in.
564.1 in.
21 in.
42.1 in.
Find the measure of each arc.
9π cm or 28.27 cm
18π cm or 56.55 cm
29π cm or 14.14 cm
6π cm or 18.85 cm
Find the measure of each arc.
49π cm or 153.94 cm
249π cm or 76.97 cm
349π cm or 88.88 cm
349π cm or 51.31 cm
Find the measure of the arc or angle indicated.
74°
48°
64°
160°
Find the measure of the arc or angle indicated.
72°
68°
124°
24°
Line AB is a tangent line of the circle on the figure
Line AB is a tangent line of the circle on the figure.
Find the segment length indicated. Assume that lines which appear to be tangent are tangent.
9
11.5
7.5
12
Find the segment length indicated. Assume that lines which appear to be tangent are tangent.
16
12
8
10
Find the measure of the arc or angles indicated. Assume that lines which appear tangent are tangent.
35°
74°
95°
28°
Find the measure of the arc or angles indicated. Assume that lines which appear tangent are tangent.
270⁰
210⁰
280⁰
250⁰
Find the measure of the arc or angles indicated. Assume that lines which appear tangent are tangent.
145°
95°
125°
130°
Find the measure of the arc or angles indicated. Assume that lines which appear tangent are tangent.
46°
58°
52°
49°
Find the measure of the arc or angles indicated. Assume that lines which appear tangent are tangent.
68°
58°
78°
72°
Find the measure of the arc or angles indicated. Assume that lines which appear tangent are tangent.
38°
75°
52°
66°
Solve for x. Assume that lines which appear to be tangent are tangent.
18
12
14
16
Solve for x. Assume that lines which appear to be tangent are tangent.
48
75
64
84
Solve for x. Assume that lines which appear to be tangent are tangent.
7
12
6
18
Solve for x. Assume that lines which appear to be tangent are tangent.
12
10
8
6
Solve for x. Assume that lines which appear to be tangent are tangent.
17
14.86
11.38
24
Solve for x. Assume that lines which appear to be tangent are tangent.
16.89
24
15
21.38
Identify the center and radius of the circle with the following equation.
(X−21)2 +(Y−6)2=141
Center = (- 21 ,-6) radius = 141
Center = ( 21 , 6) radius = 141
Center = (-6, - 21 ) radius = 141
Center = (6, 21 ) radius = 141
Identify the center and radius of the circle with the equation below.
(x−13)2+(y−11)2=4
Center = (-13, -11) radius = 2
Center = (13, 11) radius = 2
Center = (-13, -11) radius = 4
Center = (13, 11) radius = 4
Use the information provided to write the equation of the circle.
Center = (221, 219) Radius = 6
(x−221)2+(y−219)2=36
(x+221)2+(y+219)2=36
(x−221)2+(y−219)2=6
(x+221)2+(y+219)2=6
Use the information provided to write the equation of the circle.
Center = (-9, 12) Radius = 5
(x−9)2+(y+12)2=25
(x+9)2+(y−12)2=25
(x−9)2+(y+12)2=5
(x+9)2+(y−12)2=5
Use the information provided to write the equation of the circle.
Center = (-4, -15), Area = 9π
(x−4)2+(y−15)2=81π2
(x+4)2+(y+15)2=81π2
(x−4)2+(y−15)2=20.25
(x+4)2+(y+15)2=20.25
Use the information provided to write the equation of the circle.
Center = (4, 12) Area = 9π
(x+4)2+(y+12)2=20.25
(x−4)2+(y−12)2=20.25
(x+4)2+(y+12)2=81π2
(x−4)2+(y−12)2=81π2
Use the information provided to write the equation of the circle.
Center = (4, 11), Circumference = 12π
(x−4)2+(y−11)2=36
(x−4)2+(y−11)2=144π2
(x+4)2+(y+11)2=144π2
(x+4)2+(y+11)2=36
Use the information provided to write the equation of the circle.
Center = (-10, 2), Circumference = 12π
(x−10)2+(y+2)2=144π2
(x−10)2+(y+2)2=36
(x+10)2+(y−2)2=36
(x+10)2+(y−2)2=144π2
Use the information provided to write the equation of the circle.
Center = (10, -15), Point on circle = (12, -17)
(x−10)2+(y+15)2=8
(x+10)2+(y−15)2=8
(x+10)2+(y−15)2=8
(x−10)2+(y+15)2=8
Use the information provided to write the equation of the circle.
Center = (-13, -17), Point on Circle = (-12, -16)
(x+13)2+(y+17)2=2
(x+13)2+(y+17)2=2
(x−13)2+(y−17)2=2
(x−13)2+(y−17)2=2
Use the information provided to write the equation of the circle.
(x+1)2+(y−1)2=9
(x+1)2+(y−1)2=9
(x−1)2+(y+1)2=9
(x−1)2+(y+1)2=9
Use the figure provided to write the equation of the circle.
(x−1)2+(y−3)2=9
(x−1)2+(y−3)2=92
(x+1)2+(y+3)2=9
(x+1)2+(y+3)2=92
