Question 1

Find the area of the shaded part of the figure if $a = 6$ , $b = 7$ , $$c = 4$$

Accepted Answer

A)  49 
B)  24 
C)  108 
D)  66 
E)  none of these 
A)  49 
B)  24 
C)  108 
D)  66 
E)  none of these A

Question 2

Using the figure below,   find $\angle 8$  if $l _ { 1 }$ is parallel to $l _ { 2 }$ with $\angle 2 = 18 ^ { \circ }$ .

Accepted Answer

A)  $161 ^ { \circ }$ 
B)  $162 ^ { \circ }$ 
C)  $71 ^ { \circ }$ 
D)  $18 ^ { \circ }$ 
E)  none of these 
A)  $161 ^ { \circ }$ 
B)  $162 ^ { \circ }$ 
C)  $71 ^ { \circ }$ 
D)  $18 ^ { \circ }$ 
E)  none of these B

Question 3

Below are the lengths of the sides of a triangle. Which is a right triangle?

Accepted Answer

A)  9, 8, 6 
B)  9, 8, 7 
C)  6, 8, 10 
D)  10, 8, 7 
E)  none of these 
A)  9, 8, 6 
B)  9, 8, 7 
C)  6, 8, 10 
D)  10, 8, 7 
E)  none of these C

Question 4

Refer to trapezoid MNOP show below. Find x .

Accepted Answer

A)  134° 
B)  46° 
C)  90° 
D)  146° 
A)  134° 
B)  46° 
C)  90° 
D)  146°

Question 5

Look at the illustration and match each angle with its type. $$\angle 1 = 54 ^ { \circ }$$   and $\angle 2 = 36 ^ { \circ }$ .  
-acute

Accepted Answer

A)  AGC 
B)  FGD 
C)  BGE 
D)  BGA 
A)  AGC 
B)  FGD 
C)  BGE 
D)  BGA

Question 6

How many sides does a polygon have if the sum of its angles is $1,800 ^ { \circ }$ .

Accepted Answer

A)  17 sides 
B)  16 sides 
C)  10 sides 
D)  13 sides 
E)  12 sides 
A)  17 sides 
B)  16 sides 
C)  10 sides 
D)  13 sides 
E)  12 sides

Question 7

What size is the television screen shown in the illustration? Find d if $a = 20$ in. and $b = 15$ in.. Please round the answer to the nearest tenth.   
__________ in.

Accepted Answer

The answer of What size is the television screen shown...

Question 8

In the figure below, choose the pair of corresponding angles.

Accepted Answer

A)  $\angle 5$ and $\angle 6$ 
B)  $\angle 1$  and $\angle 6$ 
C)  $\angle 1$  and $\angle 5$ 
D)  all of these 
E)  none of these 
A)  $\angle 5$ and $\angle 6$ 
B)  $\angle 1$  and $\angle 6$ 
C)  $\angle 1$  and $\angle 5$ 
D)  all of these 
E)  none of these

Question 9

How many pairs of corresponding angles are shown in the figure below?   
__________ pairs of corresponding angles

Accepted Answer

The answer of How many pairs of corresponding angles are shown in the...

Question 10

In the figure below, $$a = 128$$ . Find x and y .

Accepted Answer

A)  $x = 52$ , $y = 128$ 
B)  $x = 128$ , $y = 128$ 
C)  $x = 128$ , $y = 52$ 
A)  $x = 52$ , $y = 128$ 
B)  $x = 128$ , $y = 128$ 
C)  $x = 128$ , $y = 52$

Question 11

Find the missing side lengths in each triangle. Give the exact answer and then an approximation to two decimal places, when appropriate.

Accepted Answer

A)  $x = 4 , h = 5$ 
B)  $x = 5 , h = 5 \sqrt { 2 } \approx 5.66$ 
C)  $x = 4 \sqrt { 2 } \approx 5.66 , h = 4$ 
D)  $x = 4 , h = 4 \sqrt { 2 } \approx 5.71$ 
E)  $x = 4 , h = 4 \sqrt { 2 } \approx 5.66$ 
A)  $x = 4 , h = 5$ 
B)  $x = 5 , h = 5 \sqrt { 2 } \approx 5.66$ 
C)  $x = 4 \sqrt { 2 } \approx 5.66 , h = 4$ 
D)  $x = 4 , h = 4 \sqrt { 2 } \approx 5.71$ 
E)  $x = 4 , h = 4 \sqrt { 2 } \approx 5.66$

Question 12

What can be a name of a plane?

Accepted Answer

A)  P 
B)  PQ 
C)  XYZ 
D)  MNPQ 
A)  P 
B)  PQ 
C)  XYZ 
D)  MNPQ

Question 13

In the figure below, $a = 51$ . How many degrees from the horizontal position are the wings of the airplane?

Accepted Answer

A)  129 
B)  51 
C)  39 
D)  84 
E)  309 
A)  129 
B)  51 
C)  39 
D)  84 
E)  309

Question 14

To the nearest tenth, find the circumference and the area of the target.   $a = 9 \mathrm { in }$

Accepted Answer

A)  $56.5 \mathrm { i } .$ , $254.5 \mathrm { in } ^ { 2 }$ 
B)  $56.5 \mathrm { i } .$ , $508.9 \mathrm { in } ^ { 2 }$ 
C)  $28.3 \mathrm { in } .$ , $508.9 \mathrm { in } ^ { 2 }$ 
D)  $28.3 \mathrm { in } .$ , $254.5 \mathrm { in } ^ { 2 }$ 
A)  $56.5 \mathrm { i } .$ , $254.5 \mathrm { in } ^ { 2 }$ 
B)  $56.5 \mathrm { i } .$ , $508.9 \mathrm { in } ^ { 2 }$ 
C)  $28.3 \mathrm { in } .$ , $508.9 \mathrm { in } ^ { 2 }$ 
D)  $28.3 \mathrm { in } .$ , $254.5 \mathrm { in } ^ { 2 }$

Question 15

Find the complement of a  $34 ^ { \circ }$  angle.

Accepted Answer

A)  $146 ^ { \circ }$ 
B)  $214 ^ { \circ }$ 
C)  $326 ^ { \circ }$ 
D)  $56 ^ { \circ }$ 
E)  $124 ^ { \circ }$ 
A)  $146 ^ { \circ }$ 
B)  $214 ^ { \circ }$ 
C)  $326 ^ { \circ }$ 
D)  $56 ^ { \circ }$ 
E)  $124 ^ { \circ }$

Question 16

The angle a shown in the illustration is $30 ^ { \circ }$ Find b , if the two triangles are similar.

Accepted Answer

A)  $15 ^ { \circ }$ 
B)  $60 ^ { \circ }$ 
C)  $30 ^ { \circ }$ 
D)  $16 ^ { \circ }$ 
E)  none of these 
A)  $15 ^ { \circ }$ 
B)  $60 ^ { \circ }$ 
C)  $30 ^ { \circ }$ 
D)  $16 ^ { \circ }$ 
E)  none of these

Question 17

Find the area of the shaded part of the figure if $a = 5$ , $$b = 3$$ .

Accepted Answer

A)  34 
B)  18 
C)  32.5 
D)  12 
E)  none of these 
A)  34 
B)  18 
C)  32.5 
D)  12 
E)  none of these

Question 18

Match between columns
                        Premises: triangle
octagon
hexagon
quadrilateral
pentagon

Accepted Answer

The Answer of Picture 3 and Picture 5 and Picture is...

Question 19

In the figure below, $l _ { 1 }$ is parallel with  $l _ { 2 }$  and $l _ { 2 }$ is parallel with  $l _ { 3 }$ . What can you conclude about $l _ { 3 }$  and $l _ { 1 }$ ?  
They are __________.

Accepted Answer

A)  perpendicular 
B)  coplanar 
C)  parallel 
D)  none of these 
E)  all of these 
A)  perpendicular 
B)  coplanar 
C)  parallel 
D)  none of these 
E)  all of these

Question 20

Suppose that the length of a radius of a circle is the same as the length of a side of a square. If the circumference of the circle is 15.96 centimeters longer than the perimeter of the square, find the length of a radius of the circle. (Use 3.14 as an approximation for π .)

Accepted Answer

A)  9.28 centimeters 
B)  7 centimeters 
C)  6.75 centimeters 
D)  7.25 centimeters 
E)  2.28 centimeters 
A)  9.28 centimeters 
B)  7 centimeters 
C)  6.75 centimeters 
D)  7.25 centimeters 
E)  2.28 centimeters

Find the area of the shaded part of the figure if $a = 6$ , $b = 7$ , $c = 4$

Below are the lengths of the sides of a triangle. Which is a right triangle?

Refer to trapezoid MNOP show below. Find x .

Look at the illustration and match each angle with its type. $\angle 1 = 54 ^ { \circ }$ and $\angle 2 = 36 ^ { \circ }$ . $Look at the illustration and match each angle with its type. \angle 1 = 54 ^ { \circ } and \angle 2 = 36 ^ { \circ } . -acute$ -acute

How many sides does a polygon have if the sum of its angles is $1,800 ^ { \circ }$ .

What size is the television screen shown in the illustration? Find d if $a = 20$ in. and $b = 15$ in.. Please round the answer to the nearest tenth. __________ in.

In the figure below, choose the pair of corresponding angles.

How many pairs of corresponding angles are shown in the figure below? __________ pairs of corresponding angles

In the figure below, $a = 128$ . Find x and y .

Find the missing side lengths in each triangle. Give the exact answer and then an approximation to two decimal places, when appropriate.

What can be a name of a plane?

In the figure below, $a = 51$ . How many degrees from the horizontal position are the wings of the airplane?

To the nearest tenth, find the circumference and the area of the target. $To the nearest tenth, find the circumference and the area of the target. a = 9 \mathrm { in }$ $a = 9 \mathrm { in }$

Find the complement of a $34 ^ { \circ }$ angle.

The angle a shown in the illustration is $30 ^ { \circ }$ Find b , if the two triangles are similar. $The angle a shown in the illustration is 30 ^ { \circ } Find b , if the two triangles are similar.$

Find the area of the shaded part of the figure if $a = 5$ , $b = 3$ .

Suppose that the length of a radius of a circle is the same as the length of a side of a square. If the circumference of the circle is 15.96 centimeters longer than the perimeter of the square, find the length of a radius of the circle. (Use 3.14 as an approximation for π .)

Whole Numbers

The Integers

Fractions and Mixed Numbers

Decimals

Ratio, Proportion, and Measurement

Percent

Graphs, Statistics, and Probability

An Introduction to Algebra

Filters

Exam 9: An Introduction to Geometry

Find the area of the shaded part of the figure if a=6a = 6a=6 , b=7b = 7b=7 , c=4c = 4c=4

Using the figure below, find ∠8\angle 8∠8 if l1l _ { 1 }l1​ is parallel to l2l _ { 2 }l2​ with ∠2=18∘\angle 2 = 18 ^ { \circ }∠2=18∘ .

Below are the lengths of the sides of a triangle. Which is a right triangle?

Refer to trapezoid MNOP show below. Find x .

Look at the illustration and match each angle with its type. ∠1=54∘\angle 1 = 54 ^ { \circ }∠1=54∘ and ∠2=36∘\angle 2 = 36 ^ { \circ }∠2=36∘ . -acute

How many sides does a polygon have if the sum of its angles is 1,800∘1,800 ^ { \circ }1,800∘ .

What size is the television screen shown in the illustration? Find d if a=20a = 20a=20 in. and b=15b = 15b=15 in.. Please round the answer to the nearest tenth. __________ in.

In the figure below, choose the pair of corresponding angles.

How many pairs of corresponding angles are shown in the figure below? __________ pairs of corresponding angles

In the figure below, a=128a = 128a=128 . Find x and y .

Find the missing side lengths in each triangle. Give the exact answer and then an approximation to two decimal places, when appropriate.

What can be a name of a plane?

In the figure below, a=51a = 51a=51 . How many degrees from the horizontal position are the wings of the airplane?

To the nearest tenth, find the circumference and the area of the target. a=9ina = 9 \mathrm { in }a=9in

Find the complement of a 34∘34 ^ { \circ }34∘ angle.

The angle a shown in the illustration is 30∘30 ^ { \circ }30∘ Find b , if the two triangles are similar.

Find the area of the shaded part of the figure if a=5a = 5a=5 , b=3b = 3b=3 .

In the figure below, l1l _ { 1 }l1​ is parallel with l2l _ { 2 }l2​ and l2l _ { 2 }l2​ is parallel with l3l _ { 3 }l3​ . What can you conclude about l3l _ { 3 }l3​ and l1l _ { 1 }l1​ ? They are __________.

Suppose that the length of a radius of a circle is the same as the length of a side of a square. If the circumference of the circle is 15.96 centimeters longer than the perimeter of the square, find the length of a radius of the circle. (Use 3.14 as an approximation for π .)

Whole Numbers

The Integers

Fractions and Mixed Numbers

Decimals

Ratio, Proportion, and Measurement

Percent

Graphs, Statistics, and Probability

An Introduction to Algebra

Filters

Find the area of the shaded part of the figure if $a = 6$ , $b = 7$ , $c = 4$

Look at the illustration and match each angle with its type. $\angle 1 = 54 ^ { \circ }$ and $\angle 2 = 36 ^ { \circ }$ . $Look at the illustration and match each angle with its type. \angle 1 = 54 ^ { \circ } and \angle 2 = 36 ^ { \circ } . -acute$ -acute

How many sides does a polygon have if the sum of its angles is $1,800 ^ { \circ }$ .

What size is the television screen shown in the illustration? Find d if $a = 20$ in. and $b = 15$ in.. Please round the answer to the nearest tenth. __________ in.

In the figure below, $a = 128$ . Find x and y .

In the figure below, $a = 51$ . How many degrees from the horizontal position are the wings of the airplane?

To the nearest tenth, find the circumference and the area of the target. $To the nearest tenth, find the circumference and the area of the target. a = 9 \mathrm { in }$ $a = 9 \mathrm { in }$

Find the complement of a $34 ^ { \circ }$ angle.

The angle a shown in the illustration is $30 ^ { \circ }$ Find b , if the two triangles are similar. $The angle a shown in the illustration is 30 ^ { \circ } Find b , if the two triangles are similar.$

Find the area of the shaded part of the figure if $a = 5$ , $b = 3$ .