Font size
WorksheetsSemester 2 Geometry Questions
Total questions: 191
Worksheet time: 5hrs 11mins
Solve for x and simplify.
7√3
3√7
63
6√3
Solve for x. SIMPLIFY your radical answer completely.
2√6
6√2
4√6
6√4
Find the missing side
11
61
61
11
A triangle has side lengths:
5, 6, 8. Is this triangle a right triangle, an acute triangle, or an obtuse triangle?
20, 21, 28. Is this triangle a right triangle, an acute triangle, or an obtuse triangle?
(a)
(a)
(a)
The circumference of a circle is 28π. What is the radius of the circle?
28 in
19 in
14 in
56 in
A circle has a circumference of 12π yd. What is the area of the circle?
121 π
6 π
36 π
144 π
Circle Y has a diameter of 8, YZ and ZQ are congruent and QR = 7. Find the circumference of Circle R.
18π
9π
14π
16π
Find the measure of angle IJL.
(a)
Find the measure of angle WVX.
(a)
Circle J has a diameter of 24 units, JB = 9 and BC and CK are congruent. Find the circumference of circle K.
6π
9π
12π
24π
Find the measure of angle VUW.
(a)
Find the measure of angle VWU.
(a)
What is the arc measure FE?
54°
90°
27°
31.5°
What is the volume of this composite figure? Use the pi button on your calculator and round the answer to the nearest tenth.
4825.5 ft3
1206.4 ft3
2010.5 ft3
8042.5 ft2
Find the volume of the following shape.
(What two solids are being added together??)
4155.27 m3
1038.82 m3
804.24 m3
1005.31 m3
Farmer Fred has a silo that looks like the one in the picture. The cylinder part is 20 feet tall with a radius of 6 feet. What is the volume of the entire silo? Round to the nearest whole number.
3167 ft3
2337 ft3
2413 ft3
2714 ft3
Find the volume of the given prism. Round to the nearest tenth if necessary.
17m3
34m3
8.5m3
1m3
What is the volume of the composite solid? (round to nearest whole number)
19 ft3
24 ft3
29 ft3
34 ft3
Find the value of x.
(a)
Calculate the composite volume.
48.2 cm3
64.9 cm3
125.7 cm3
Find the volume. Round to the nearest tenth.
(a)
(a)
Find the volume of the square pyramid. NOTE: You need to find the HEIGHT first...
(a)
The measure of each interior angle of a regular polygon is 160°. Find the number of sides.
(a)
What is the sum of the measures of the interior angles of a 22-gon?
(a)
Given m∠IFL = 29 find the m∠LEI .
(a)
Given the square, DE = 10 ft. Find the length of AB.
10
10 2
20
5 2
Find the length of GH, given the following trapezoid.
(a)
In the rectangle, RV = 2x + 5 and TV = 5x -13. Find the length of SV.
(a)
In the rectangle, m∠VST=37. Find the m∠RVU.
(a)
Select the phrase(s) below that would determine that the quadrilateral is a parallelogram.
The quadrilateral has two pairs of angles congruent.
The quadrilateral has one pair of opposite sides that are parallel and congruent.
The quadrilateral has diagonals that bisect each other.
The quadrilateral has diagonals that are different lengths.
The quadrilateral has both pairs of opposite sides congruent.
In rhombus LIFE, m∠LED=58° Find the m∠DFE.
(a)
Given the square, AE = 22 ft. Find the length of BC.
22
22 2
44
11 2
Given Rhombus TUVW. Find m∠3.
(a)
What is the SUM of the angle measures in a 35-gon?
(a)
Solve for x
(a)
If each interior angle of a regular polygon measures 168 degrees, how many sides does the polygon have?
(a)
Using the Polygon Interior Angle Sum Theorem, what is the interior angle sum of a 9-sided irregular polygon?
(a)
Select the phrase(s) below that would determine that the quadrilateral is a parallelogram.
The quadrilateral has two pairs of angles congruent.
The quadrilateral has one pair of opposite sides that are parallel and congruent.
The quadrilateral has both pairs of opposite angles congruent.
The quadrilateral has diagonals that are different lengths.
The quadrilateral has both pairs of opposite sides congruent.
Classify the following triangle with the side lengths 12, 16, 20
acute
obtuse
right
Find the length of p.
6
6 2
4 2
12 2
Which equation(s) are correct to solve the triangle below? Select all that apply.
tan(39)=x7
sin(39)=7x
cos(39)=7x
sin(51)=7x
cos(51)=7x
Classify the following triangle with the side lengths 3 , 4 , 5
acute
obtuse
right
A baseball diamond is a square with sides of 90 feet. What is the shortest distance between third base and first base?
90√3 ft
180 ft
180√2 ft
90√2 ft
Which equation(s) are correct to solve the triangle below? Select all that apply.
tan(28)=x10
sin(28)=x10
cos(62)=x10
sin(28)=10x
cos(62)=10x
Given ΔDEF where ∠E is a right angle and ∠F = 33° . Side DE has a length of 7 cm. Find the length of EF.
4.5 cm
10.8 cm
8.3 cm
12.9 cm
Find the length of r.
6
12 3
6 2
4 3
Classify the following triangle with the side lengths 9, 10, 12
acute
obtuse
right
Adam is attempting to make a goal at a soccer game. The ball is 15 feet from the goal post. To the top of the goal post it is 6 feet tall. Adam kicks the ball straight at an angle of elevation of 26o. Will Adam make the goal?
No, the ball will be 5.5 feet above the goal post.
Yes, the ball will be 1.3 foot below the goal post.
No, the ball will be 1.3 foot above the goal post.
Yes, the ball will be 1.6 feet below the goal post.
Classify the following triangle with the side lengths 5, 16, 281
acute
obtuse
right
Find the length of q
6
24 3
8 3
4 3
Given ΔDEF where ∠E is a right angle and ∠F = 12° . Side DE has a length of 9 cm. Find the length of EF. Round to the tenth.
(a)
Adam is attempting to make a goal at a soccer game. The ball is 19 feet from the goal post. To the top of the goal post it is 9 feet tall. Adam kicks the ball straight at an angle of elevation of 16o. Will Adam make the goal?
No, the ball will be 5.5 feet above the goal post.
Yes, the ball will be 3.6 foot below the goal post.
No, the ball will be 3.6 foot above the goal post.
Yes, the ball will be 1.6 feet below the goal post.
Find the area of the parallelogram.
290.99
168
336
237.59
Find the area of the parallelogram.
282.84
200
100
173.21
Find the area of the parallelogram.
840
421
727.46
593.97
Find the area of the parallelogram.
98
169.74
138.59
196
Find the volume. Round to the tenth.
(a)
Find the volume. Round to the nearest tenth.
(a)
What is the volume of the cone with diameter 8cm and slope length 5cm? Use 3.14 for pi. Do not round your answer.
(a)
Find the volume. Round to the tenth.
(a)
Find the volume of the cone. Use 3.14 for pi and round to the tenth.
(a)
Find the volume of the square pyramid. NOTE: You need to find the HEIGHT first...
(a)
Lucia has a triangular prism. Find the volume. Round to the tenth.
(a)
Find the volume of the cone. Round your answer to the nearest tenth.
Hint: Use the Pythagorean Theorem to find the height!
5.7
23.9
25.1
71.6
Find the volume of the object shown.
1450.67 sq in
1280 sq in
3840 sq in
4352 sq in
Find the area of the shaded.
Round to the tenth.
(a)
Lucy has the spinner pictured and spins it twice in a row. What is the probability that she lands on a yellow first and a blue the second time?
1 / 16
1 ⁄ 6
1 ⁄ 8
3 ⁄ 4
A school’s sports teams are categorized as shown in this table.
What is the probability that the selected student is a male given that the student is a baseball player?
4836
10013
3613
4813
Find the percent of the shaded area.
27.3%
78.5%
21.4%
80.4%
17.3%
Find the probability of rolling a six on a number cube or rolling an odd number.
Simplify.
2/3
1/6
1/2
1/12
A school’s sports teams are categorized as shown in this table.
What is the probability that the selected student is a football player?
51
10033
125
2513
Given a six-sided die, what is the probability of rolling an even number or a number greater than 4?
32
23
21
61
A school’s sports teams are categorized as shown in this table.
What is the probability that the selected student is a baseball player given that the student is male?
4836
10013
3613
4813
Given a spinner 0-9, what is the probability of spinning an odd or a number less than 7
97
98
109
54
What is the probability of spinning the spinner shown and landing on an odd or a number greater than 4
21
32
31
61
A school’s sports teams are categorized as shown in this table.
What is the probability that the selected student is a female basketball player?
134
3116
254
5231
Find the percent of the white area, given the figure is a square.
27.3%
78.5%
21.4%
80.4%
Given that there is a spinner with 10 spaces (0-9) and standard six-sided number cube (die), what is the probability that the spinner lands on a number great than 2 and the die is a 4?
54
61
152
607
A school’s sports teams are categorized as shown in this table.
What is the probability that the selected student is a male football player?
3320
3116
125
51
Find the percent of the shaded area.
27.3%
78.5%
21.4%
80.4%
17.3%
A school’s sports teams are categorized as shown in this table.
What is the probability that the selected student is a baseball player given that the student is a male?
4836
10013
3613
4813
Find the area of the shaded.
Round to the tenth.
(a)
A school’s sports teams are categorized as shown in this table.
What is the probability that the selected student is a female basketball player?
134
254
125
3116
A school’s sports teams are categorized as shown in this table.
What is the probability that the selected student is a female given that the student is a baseball player?
4836
10023
3623
5223
A school’s sports teams are categorized as shown in this table.
What is the probability that the selected student is a female player?
2513
254
125
3116
Find the percent of the shaded area.
27.3%
78.5%
21.4%
80.4%
17.3%
What is the probability of spinning the spinner shown and landing on an odd and flipping a coin that lands on tails
21
41
32
63
How much grain could fit in this silo? Round your answer to the nearest cubic meter.
(a)
Given that there is a spinner with 10 spaces (0-9) and standard six-sided number cube (die), what is the probability that the spinner lands on a number great than 2 and the die is a 4?
54
61
152
607
Given that there standard six-sided number cube (die), what is the probability that the die lands on an odd number or the die is greater than 4?
65
32
21
1
A school’s sports teams are categorized as shown in this table.
What is the probability that the selected student is a female basketball player?
134
3116
254
5231
A school’s sports teams are categorized as shown in this table.
What is the probability that the selected student is a baseball player given that the student is male?
4836
10013
3613
4813
Given that there is a spinner with 10 spaces (0-9) and standard six-sided number cube (die), what is the probability that the spinner lands on a number less than 3 and the die rolled lands on a 6?
271
201
301
181
What is the probability of rolling a standard 6 sided die and the roll is an odd number or is less than 5?
32
23
65
67
Find the volume. Round to the nearest tenth.
(a)
Find the volume. Round to the tenth.
(a)
Find the volume of the square pyramid. NOTE: You need to find the HEIGHT first...
(a)
Farmer Fred has a silo that looks like the one in the picture. The cylinder part is 20 feet tall with a radius of 6 feet. What is the volume of the entire silo? Round to the nearest whole number.
(a)
What is the probability that the student selected is a boy in Spanish?
(a)
What is the probability that a female is chosen given they like a Toyota?
(a)
What is the probability a girl is chosen given they are in French?
(a)
What is the probability that the student chosen is a girl in german?
(a)
What is the probability that a student plays on a sports team and plays an instrument?
(a)
Find the percent of the white area, given the figure is a square.
27.3%
78.5%
21.4%
80.4%
Given that there is a spinner with 10 spaces (0-9) and standard six-sided number cube (die), what is the probability that the spinner lands on a number great than 2 and the die is a 4?
54
61
152
607
What is the probability that a student plays on a sports team given they play an instrument?
(a)
Select the phrase(s) below that would determine that the quadrilateral is a parallelogram.
The quadrilateral has two pairs of angles congruent.
The quadrilateral has one pair of opposite sides that are parallel and congruent.
The quadrilateral has both pairs of opposite angles congruent.
The quadrilateral has diagonals that are different lengths.
The quadrilateral has both pairs of opposite sides congruent.
If each interior angle of a regular polygon measures 168 degrees, how many sides does the polygon have?
(a)
For a dodecagon (12 sides), what is the sum of the interior angles
Find the measure of ONE exterior angle of a regular decagon (10 sides).
Find the measure of ONE interior angle of a regular dodecagon (12 sides).
Find the sum of the interior angles of a nonagon ( 9 sides).
Solve for x.
900⁰
27⁰
35⁰
21⁰
An interior angle of a regular polygon measures 144°. How many sides does the polygon have?
10
5
14
9
Solve for x
15
16
17
Solve for the m<C
93
96
102
The diameter of ʘ R is 20 units. YZ ≅ ZQ and QR=7 Find the circumference of ʘ Y.
6 π
24 π
12 π
10 π
In the figure below, RS is tangent to the circle at point R. Check all statements that are true.
QR≅QT
QT≅RS
QR2+RS2=QS2
QS2+QR2=RS2
QT + TS = QS
Find the measure of ∠RPS.
(a)
Find the measure of arc QTS.
(a)
If arc QT= 40. Find the measure of ∠QST .
(a)
A circle has a circumference of 12π yd. What is the area of the circle?
121 π
6 π
36 π
144 π
Find the area of the parallelogram.
290.99
168
336
237.59
Find the area of the rhombus, given AB=15 and AP=9.
(a)
A trapezoid has an area of 54 feet and one base is 8 ft the other base is 10 feet. Find the height of the trapezoid.
(a)
These two rectangles are similar. Given that the area of the yellow one is 69.3 cm2, find the area of the green rectangle. give your answer to 1 decimal place.
(leave out the units in the answer)
(a)
Find the area of the shaded region.
374.12
452.39
78.27
265.33
A trapezoid has an area of 45.5 feet and one base is 9 ft the other base is 4 feet. Find the height of the trapezoid.
(a)
The figures below are similar. The labeled sides are corresponding.
What is the area of the larger square?
If necessary round to whole number.
(a)
A trapezoid has an area of 72 feet and one base is 8 ft the other base is 8 feet. Find the height of the trapezoid.
(a)
Find the area of the parallelogram.
840
421
727.46
593.97
Circle J has a diameter of 24 units, JB = 9 and BC and CK are congruent. Find the circumference of circle K.
6π
9π
12π
24π
A circle as a circumference of 10π meters. What is the area of the circle?
25π meters
10π meters
100π meters
20π meters
Find the area of the larger rhombus. If necessary, round to nearest whole number.
(a)
Find the measure of arc RT.
(a)
(a)
What is the value of x?
(a)
What is the value of y?
(a)
Find the area of the shaded region.
Round to nearest tenth.
(a)
Trapezoid
Parallelogram
Kite
Which of the quadrilaterals, is this property true for?
All sides congruent
Isosceles Trapezoid
Parallelogram
Kite
Which of the quadrilaterals, is this property true for?
Two pairs of parallel sides
Isosceles Trapezoid
Parallelogram
Kite
Which of the quadrilaterals, is this property true for?
Four right angles
Isosceles Trapezoid
Parallelogram
Kite
Which of the quadrilaterals, is this property true for?
Only one pair of parallel sides
Isosceles Trapezoid
Trapezoid
Kite
Trapezoid
Parallelogram
Kite
Trapezoid
Parallelogram
Kite
Trapezoid
Parallelogram
Kite
Parallelogram
Kite
What is the measure of angle 3?
(a)
Parallelogram
Kite
Parallelogram
Kite
Find the measure of angle 1
(a)
Find the measure of angle 5
(a)
Find the measure of angle 3
(a)
Find the measure of angle 2
(a)
Find the measure of angle 1
(a)
Find the measure of angle 4
(a)
Given WTUV is a rhombus
Find m∠WTQ
(a)
Given WTUV is a rhombus
Find m∠WQT
(a)
Given WTUV is a rhombus
Find m∠UVQ
(a)
Given WTUV is a rhombus
Find m∠TUQ
(a)
Given WTUV is a rhombus
Find m∠TWQ
(a)
Given WTUV is a rhombus
Find m∠QWV
(a)
If m∠EBC is 54° what is the m∠CDA?
(a)
If m∠EBC is 54° what is the m∠BAE?
(a)
If m∠EBC is 54° what is the m∠EBA?
(a)
If m∠EBC is 54° what is the m∠ACD?
(a)
If m∠EBC is 54° what is the m∠BEA?
(a)
Given BC = 12 and AC = 6, find BA.
If necessary, give answer in simplified radical form.
Use sqrt in place of the symbol
Ex: 5 6 would be 5sqrt6
(a)
Given TUVW is a rhombus, WV = 10 and WQ = 5, find VQ.
If necessary, give answer in simplified radical form.
Use sqrt in place of the symbol
Ex: 5 6 would be 5sqrt6
(a)
Given TUVW is a rhombus, WQ = 7 find the length of QV.
If necessary round answer to the nearest tenth.
(a)
Given m∠BCA = 53 and BC is 18, find AC.
If necessary, round answer to nearest tenth.
(a)
Find GH.
(a)
The measure of each interior angle of a regular polygon is 160°. Find the number of sides.
(a)
What is the sum of the measures of the interior angles of a 22-gon?
(a)
