Question 1

Use the protractor to find the measure of ? GQC .

Accepted Answer

A)  $100 ^ { \circ }$ 
B)  $75 ^ { \circ }$ 
C)  $105 ^ { \circ }$ 
D)  $80 ^ { \circ }$

Question 2

Refer to the figure. Which of the following choices are interior angles?

Accepted Answer

A)  ∠8 
B)  ∠6 
C)  ∠7 
D)  ∠5 
E)  none of these

Question 3

What is a triangle with three angles of equal measure called?

Accepted Answer

A)  right 
B)  scalene 
C)  equilateral 
D)  isosceles 
E)  none of these

Question 4

Find the area of the shaded part of the figure if $a = 8$ , $b = 9$ , $c = 4$ .

Accepted Answer

A)  72 
B)  30 
C)  176 
D)  104 
E)  none of these

Question 5

Find the area of the circle to the nearest tenth, if $\pi = 3.14$ and a = 10 in.  
__________ in $2$

Accepted Answer

The answer of Find the area of the circle to...

Question 6

Find the radius of the circle, if the diameter is 14.

Accepted Answer

A)  3.5 
B)  4.5 
C)  7 
D)  2.5 
E)  28

Question 7

The illustration shows a block that is suspended with two ropes, one of which is horizontal. The weight of the block is $A = 68$ . Which numbered angle in the illustration is acute?

Accepted Answer

A)  3 
B)  2 
C)  1

Question 8

Match between columns
                        Premises: trapezoid
rhombus
rectangle
square

Accepted Answer

The Answer of Picture 2 and Picture 3 and Picture is...

Question 9

Find the sum of the angles of a polygon with 9 sides.

Accepted Answer

A)  $1,262 ^ { \circ }$ 
B)  $1,260 ^ { \circ }$ 
C)  $1,270 ^ { \circ }$ 
D)  $1,250 ^ { \circ }$ 
E)  none of these

Question 10

Find the volume of a cone with a height of 10 centimeters and a circular base with a diameter of 9 centimeters.

Accepted Answer

A)  $212.06 \mathrm {~cm} ^ { 3 }$ 
B)  $3,316.81 \mathrm {~cm} ^ { 3 }$ 
C)  $282.74 \mathrm {~cm} ^ { 3 }$ 
D)  $424.12 \mathrm {~cm} ^ { 3 }$ 
E)  $848.23 \mathrm {~cm} ^ { 3 }$

Question 11

Find the area of the shaded part of the figure if $$a = 4$$ , $$b = 6$$ .

Accepted Answer

A)  48 
B)  96 
C)  12 
D)  10 
E)  none of these

Question 12

Find the volume of a prism whose base is a right triangle with legs 10 and 2 meters long and whose height is 7 meters.

Accepted Answer

A)  $70 \mathrm {~m} ^ { 3 }$ 
B)  $140 \mathrm {~m} ^ { 3 }$ 
C)  $20 \mathrm {~m} ^ { 3 }$ 
D)  $280 \mathrm {~m} ^ { 3 }$ 
E)  $199 \mathrm {~m} ^ { 3 }$

Question 13

The lengths of the three sides of a triangle are given. The triangle is a right triangle. $a = 9$ , $b = 39$ , $c = 40$

Accepted Answer

A) True 
 B)False

Question 14

Find the volume of a sphere with a radius of 10 inches.

Accepted Answer

A)  $1,333.33 \text { in. } ^ { 3 }$ 
B)  $16,755.16 \mathrm { in } ^ { 3 }$ 
C)  $12,566.37 \mathrm { in } ^ { 3 }$ 
D)  $418.88 \mathrm { in } ^ { 3 }$ 
E)  $4,188.79 \mathrm { in } . ^ { 3 }$

Question 15

Find the total area of the shaded figure. 
The diameters of the smaller circles are equal to 8. Use $\pi = 3.1416$ .

Accepted Answer

A)  150.8 
B)  100.5 
C)  301.6 
D)  175.9 
E)  none of these

Question 16

Find the area of the shaded part of the figure if a = 6, b = 8, c = 4, d = 4.

Accepted Answer

The answer of Find the area of the shaded part...

Question 17

Classify the following polygons:
1. 
2. 
3. 
4. 
5.

Accepted Answer

A)  Picture 1: octagon; picture 2: hexagon; picture 3: quadrilateral; picture 4: triangle and picture 5: pentagon. 
B)  Picture 1: quadrilateral; picture 2: octagon; picture 3: hexagon; picture 4: triangle and picture 5: pentagon. 
C)  Picture 1: quadrilateral; picture 2: hexagon; picture 3: octagon; picture 4: triangle and picture 5: pentagon. 
D)  Picture 1: quadrilateral; picture 2: pentagon; picture 3: octagon; picture 4: triangle and picture 5: hexagon. 
E)  Picture 1: quadrilateral; picture 2: triangle; picture 3: octagon; picture 4: hexagon and picture 5: pentagon.

Question 18

Find $\angle 2$ if  $$\angle 1 = 53 ^ { \circ }$$ .

Accepted Answer

A)  $127 ^ { \circ }$ 
B)  $54 ^ { \circ }$ 
C)  $37 ^ { \circ }$ 
D)  $74 ^ { \circ }$ 
E)  $53 ^ { \circ }$

Question 19

In the figure below, a = 105. What is the angle of the handle of the lawn mower in relation to the ground?  
__________ ${}^ { \circ }$

Accepted Answer

The answer of In the figure below, a = 105....

Question 20

Find the perimeter of the figure if $a = 10 \mathrm { in } .$ , $$b = 9 \mathrm { in }$$ .

Accepted Answer

A)  39 in. 
B)  48 in. 
C)  28 in. 
D)  38 in. 
E)  none of these

Exam 9: An Introduction to Geometry

$Use the protractor to find the measure of ? GQC . A) 100 ^ { \circ } B) 75 ^ { \circ } C) 105 ^ { \circ } D) 80 ^ { \circ }$ Use the protractor to find the measure of ? GQC .

Refer to the figure. Which of the following choices are interior angles?

What is a triangle with three angles of equal measure called?

Find the area of the shaded part of the figure if $a = 8$ , $b = 9$ , $c = 4$ .

Find the area of the circle to the nearest tenth, if $\pi = 3.14$ and a = 10 in. $Find the area of the circle to the nearest tenth, if \pi = 3.14 and a = 10 in. in 2$ in $2$

Find the radius of the circle, if the diameter is 14.

The illustration shows a block that is suspended with two ropes, one of which is horizontal. The weight of the block is $A = 68$ . Which numbered angle in the illustration is acute?

Classify the following quadrilaterals. Match the shape with the name. 1. 2. 3. 4.

Find the sum of the angles of a polygon with 9 sides.

Find the volume of a cone with a height of 10 centimeters and a circular base with a diameter of 9 centimeters.

Find the area of the shaded part of the figure if $a = 4$ , $b = 6$ .

Find the volume of a prism whose base is a right triangle with legs 10 and 2 meters long and whose height is 7 meters.

The lengths of the three sides of a triangle are given. The triangle is a right triangle. $a = 9$ , $b = 39$ , $c = 40$

Find the volume of a sphere with a radius of 10 inches.

Find the total area of the shaded figure. $Find the total area of the shaded figure. The diameters of the smaller circles are equal to 8. Use \pi = 3.1416 . A) 150.8 B) 100.5 C) 301.6 D) 175.9 E) none of these$ The diameters of the smaller circles are equal to 8. Use $\pi = 3.1416$ .

Find the area of the shaded part of the figure if a = 6, b = 8, c = 4, d = 4.

Classify the following polygons: 1. 2. 3. 4. 5.

Find $\angle 2$ if $\angle 1 = 53 ^ { \circ }$ . $Find \angle 2 if \angle 1 = 53 ^ { \circ } . A) 127 ^ { \circ } B) 54 ^ { \circ } C) 37 ^ { \circ } D) 74 ^ { \circ } E) 53 ^ { \circ }$

In the figure below, a = 105. What is the angle of the handle of the lawn mower in relation to the ground? $In the figure below, a = 105. What is the angle of the handle of the lawn mower in relation to the ground? {}^ { \circ }$ ${}^ { \circ }$

Find the perimeter of the figure if $a = 10 \mathrm { in } .$ , $b = 9 \mathrm { in }$ . $Find the perimeter of the figure if a = 10 \mathrm { in } . , b = 9 \mathrm { in } . A) 39 in. B) 48 in. C) 28 in. D) 38 in. E) none of these$

Exam 9: An Introduction to Geometry

Use the protractor to find the measure of ? GQC .

Refer to the figure. Which of the following choices are interior angles?

What is a triangle with three angles of equal measure called?

Find the area of the shaded part of the figure if a=8a = 8a=8 , b=9b = 9b=9 , c=4c = 4c=4 .

Find the area of the circle to the nearest tenth, if π=3.14\pi = 3.14π=3.14 and a = 10 in. __________ in 222

Find the radius of the circle, if the diameter is 14.

The illustration shows a block that is suspended with two ropes, one of which is horizontal. The weight of the block is A=68A = 68A=68 . Which numbered angle in the illustration is acute?

Classify the following quadrilaterals. Match the shape with the name. 1. 2. 3. 4.

Find the sum of the angles of a polygon with 9 sides.

Find the volume of a cone with a height of 10 centimeters and a circular base with a diameter of 9 centimeters.

Find the area of the shaded part of the figure if a=4a = 4a=4 , b=6b = 6b=6 .

Find the volume of a prism whose base is a right triangle with legs 10 and 2 meters long and whose height is 7 meters.

The lengths of the three sides of a triangle are given. The triangle is a right triangle. a=9a = 9a=9 , b=39b = 39b=39 , c=40c = 40c=40

Find the volume of a sphere with a radius of 10 inches.

Find the total area of the shaded figure. The diameters of the smaller circles are equal to 8. Use π=3.1416\pi = 3.1416π=3.1416 .

Find the area of the shaded part of the figure if a = 6, b = 8, c = 4, d = 4.

Classify the following polygons: 1. 2. 3. 4. 5.

Find ∠2\angle 2∠2 if ∠1=53∘\angle 1 = 53 ^ { \circ }∠1=53∘ .

In the figure below, a = 105. What is the angle of the handle of the lawn mower in relation to the ground? __________ ∘{}^ { \circ }∘

Find the perimeter of the figure if a=10in.a = 10 \mathrm { in } .a=10in. , b=9inb = 9 \mathrm { in }b=9in .

$Use the protractor to find the measure of ? GQC . A) 100 ^ { \circ } B) 75 ^ { \circ } C) 105 ^ { \circ } D) 80 ^ { \circ }$ Use the protractor to find the measure of ? GQC .

Find the area of the shaded part of the figure if $a = 8$ , $b = 9$ , $c = 4$ .

Find the area of the circle to the nearest tenth, if $\pi = 3.14$ and a = 10 in. $Find the area of the circle to the nearest tenth, if \pi = 3.14 and a = 10 in. in 2$ in $2$

The illustration shows a block that is suspended with two ropes, one of which is horizontal. The weight of the block is $A = 68$ . Which numbered angle in the illustration is acute?

Find the area of the shaded part of the figure if $a = 4$ , $b = 6$ .

The lengths of the three sides of a triangle are given. The triangle is a right triangle. $a = 9$ , $b = 39$ , $c = 40$

Find the total area of the shaded figure. $Find the total area of the shaded figure. The diameters of the smaller circles are equal to 8. Use \pi = 3.1416 . A) 150.8 B) 100.5 C) 301.6 D) 175.9 E) none of these$ The diameters of the smaller circles are equal to 8. Use $\pi = 3.1416$ .

Find $\angle 2$ if $\angle 1 = 53 ^ { \circ }$ . $Find \angle 2 if \angle 1 = 53 ^ { \circ } . A) 127 ^ { \circ } B) 54 ^ { \circ } C) 37 ^ { \circ } D) 74 ^ { \circ } E) 53 ^ { \circ }$

In the figure below, a = 105. What is the angle of the handle of the lawn mower in relation to the ground? $In the figure below, a = 105. What is the angle of the handle of the lawn mower in relation to the ground? {}^ { \circ }$ ${}^ { \circ }$

Find the perimeter of the figure if $a = 10 \mathrm { in } .$ , $b = 9 \mathrm { in }$ . $Find the perimeter of the figure if a = 10 \mathrm { in } . , b = 9 \mathrm { in } . A) 39 in. B) 48 in. C) 28 in. D) 38 in. E) none of these$