Question 1

Find the angles of a triangle if it is known that the measures of the angles are $x , x + 30 , \text { and } x + 60$ .

Accepted Answer

A)  $45 ^ { \circ } , 75 ^ { \circ } , 105 ^ { \circ }$ 
B)  $90 ^ { \circ } , 120 ^ { \circ } , 150 ^ { \circ }$ 
C)  $60 ^ { \circ } , 90 ^ { \circ } , 120 ^ { \circ }$ 
D)  $30 ^ { \circ } , 90 ^ { \circ } , 105 ^ { \circ }$ 
E)  $30 ^ { \circ } , 60 ^ { \circ } , 90 ^ { \circ }$ 
A)  $45 ^ { \circ } , 75 ^ { \circ } , 105 ^ { \circ }$ 
B)  $90 ^ { \circ } , 120 ^ { \circ } , 150 ^ { \circ }$ 
C)  $60 ^ { \circ } , 90 ^ { \circ } , 120 ^ { \circ }$ 
D)  $30 ^ { \circ } , 90 ^ { \circ } , 105 ^ { \circ }$ 
E)  $30 ^ { \circ } , 60 ^ { \circ } , 90 ^ { \circ }$

Question 2

Does the picture illustrate a line symmetry? Chambered nautilus   __________ ( Yes, symmetric / No, not symmetric )

Accepted Answer

The answer of Does the picture illustrate a line symmetry?...

Question 3

Name the polygon in the figure according to the number of sides.

Accepted Answer

A)  The figure is decagon. 
B)  The figure is a nonagon. 
C)  The figure is an octagon. 
D)  The figure is a heptagon. 
E)  The figure is not a polygon. 
A)  The figure is decagon. 
B)  The figure is a nonagon. 
C)  The figure is an octagon. 
D)  The figure is a heptagon. 
E)  The figure is not a polygon.

Question 4

Find the sine, cosine, and tangent for the angle $A$ where $a = \sqrt { 11 }$ and $b = \sqrt { 14 }$

Accepted Answer

A)  $\sin A \approx 0.7483 , \cos A \approx 0.6633 , \tan A \approx 0.8864$ 
B)  $\sin A \approx 0.6633 , \cos A \approx 0.7483 , \tan A \otimes 0.8864$ 
C)  $\sin A \approx 0.3367 , \cos A \approx 0.2517 , \tan A \approx 0.8864$ 
D)  $\sin A \approx 0.6633 , \cos A \approx 0.7483 , \tan A \approx 1.1282$ 
E)  $\sin A \approx 0.7483 , \cos A \approx 0.6633 , \tan A \approx 1.1282$ 
A)  $\sin A \approx 0.7483 , \cos A \approx 0.6633 , \tan A \approx 0.8864$ 
B)  $\sin A \approx 0.6633 , \cos A \approx 0.7483 , \tan A \otimes 0.8864$ 
C)  $\sin A \approx 0.3367 , \cos A \approx 0.2517 , \tan A \approx 0.8864$ 
D)  $\sin A \approx 0.6633 , \cos A \approx 0.7483 , \tan A \approx 1.1282$ 
E)  $\sin A \approx 0.7483 , \cos A \approx 0.6633 , \tan A \approx 1.1282$

Question 5

Answer yes if the statement is true, or no if it is false. 
In a trapezoid, opposite sides have equal length.

Accepted Answer

The answer of Answer yes if the statement is true,...

Question 6

What is the difference between an axiom and a theorem?

Accepted Answer

A)  There is no difference between theorems and axioms, the words are synonyms. 
B)  Axioms are right conclusions, but theorems are wrong. 
C)  Theorems are right conclusions, but axioms are wrong. 
D)  In mathematics, theorems are proven on the basis of some agreed-upon postulates called axioms. 
E)  In mathematics, axioms are proven on the basis of some agreed-upon postulates called theorems. 
A)  There is no difference between theorems and axioms, the words are synonyms. 
B)  Axioms are right conclusions, but theorems are wrong. 
C)  Theorems are right conclusions, but axioms are wrong. 
D)  In mathematics, theorems are proven on the basis of some agreed-upon postulates called axioms. 
E)  In mathematics, axioms are proven on the basis of some agreed-upon postulates called theorems.

Question 7

The measures of two angles of $\mathrm { ABC }$ are given. Find the measure of the third angle, if $\angle A _ { 2 } = 61 ^ { \circ }$ and $\angle \mathrm { B } = 66 ^ { \circ }$ .

Accepted Answer

A)  $120 ^ { \circ }$ 
B)  $52 ^ { \circ }$ 
C)  $53 ^ { \circ }$ 
D)  $63 ^ { \circ }$ 
E)  $233 ^ { \circ }$ 
A)  $120 ^ { \circ }$ 
B)  $52 ^ { \circ }$ 
C)  $53 ^ { \circ }$ 
D)  $63 ^ { \circ }$ 
E)  $233 ^ { \circ }$

Question 8

Select the figure that shows the correct line(s) of symmetry for the illustration.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 9

Given are two similar triangles shown in the figure.   If $a = 1$ and $b = 3$ find $C$

Accepted Answer

A)  $2 \sqrt { 2 }$ 
B)  $\frac { 1 } { 3 }$ 
C)  $\sqrt { 10 }$ 
D)  $\frac { \sqrt { 2 } } { 3 }$ 
E)  $\frac { \sqrt { 10 } } { 3 }$ 
A)  $2 \sqrt { 2 }$ 
B)  $\frac { 1 } { 3 }$ 
C)  $\sqrt { 10 }$ 
D)  $\frac { \sqrt { 2 } } { 3 }$ 
E)  $\frac { \sqrt { 10 } } { 3 }$

Question 10

For which pair of triangles does the statement apply? The triangles are not similar.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 11

The symbol $\overline { S T }$ indicates which of the following?

Accepted Answer

A)  The line segment from S to T . 
B)  The ray from T passing through S . 
C)  The length of the line segment from S to T . 
D)  The ray from S passing through T . 
E)  The line through S and T . 
A)  The line segment from S to T . 
B)  The ray from T passing through S . 
C)  The length of the line segment from S to T . 
D)  The ray from S passing through T . 
E)  The line through S and T .

Question 12

Use the figure to answer the question. Enter the letter of the side of the triangle as your answer.   What is the side adjacent to $\angle A ?$

Accepted Answer

The answer of Use the figure to answer the question....

Question 13

Select the figure that shows the correct line(s) of symmetry for the illustration.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 14

Use algebra to find the value of x in the triangle. Notice that the measurement of the angle is not necessarily the same as the value of x .

Accepted Answer

The answer of Use algebra to find the value of...

Question 15

Describe line symmetry.

Accepted Answer

If you fold a figure along its

Question 16

Classify the requested angles shown in the figure where $\boldsymbol { \ell } _ { 1 }$ and $\boldsymbol { e } _ { 2 }$ are parallel.   $\angle 10$ if $m \angle 11$ is $90 ^ { \circ }$

Accepted Answer

A)  right 
B)  complementary 
C)  acute 
D)  obtuse 
E)  straight 
A)  right 
B)  complementary 
C)  acute 
D)  obtuse 
E)  straight

Question 17

Find the measure of $\angle 3$ in the figure given that line $\ell _ { 1 }$ is parallel to line $\ell _ { 2 }$ and $$m \angle 5 = 120 ^ { \circ }$$   $m \angle 3 =$ __________ $  { \circ }$

Accepted Answer

The answer of Find the measure of $\angle 3$ in...

Question 18

Classify the pair of angles shown in the figure where $\ell _ { 1 }$ and $\ell _ { 2 }$ are parallel.   $\angle 2$ and $\angle 4$ These angles are __________ angles and their measures are __________.

Accepted Answer

The answer of Classify the pair of angles shown in...

Question 19

Select the figure that shows the correct line(s) of symmetry for the illustration of the flag, without its flagpole.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 20

Consider the figure.   Name an angle congruent to $\angle D O B$ .

Accepted Answer

A)  $\angle C O D$ 
B)  $\angle B O A$ 
C)  $\angle A O C$ 
D)  $\angle D O C$ 
E)  $\angle A O B$ 
A)  $\angle C O D$ 
B)  $\angle B O A$ 
C)  $\angle A O C$ 
D)  $\angle D O C$ 
E)  $\angle A O B$

Find the angles of a triangle if it is known that the measures of the angles are $x , x + 30 , \text { and } x + 60$ .

Does the picture illustrate a line symmetry? Chambered nautilus __________ ( Yes, symmetric / No, not symmetric )

Name the polygon in the figure according to the number of sides.

Find the sine, cosine, and tangent for the angle $A$ where $a = \sqrt { 11 }$ and $b = \sqrt { 14 }$ $Find the sine, cosine, and tangent for the angle A where a = \sqrt { 11 } and b = \sqrt { 14 }$

Answer yes if the statement is true, or no if it is false. In a trapezoid, opposite sides have equal length.

What is the difference between an axiom and a theorem?

Select the figure that shows the correct line(s) of symmetry for the illustration.

Given are two similar triangles shown in the figure. If $a = 1$ and $b = 3$ find $C$

For which pair of triangles does the statement apply? The triangles are not similar.

The symbol $\overline { S T }$ indicates which of the following?

Use the figure to answer the question. Enter the letter of the side of the triangle as your answer. $Use the figure to answer the question. Enter the letter of the side of the triangle as your answer. What is the side adjacent to \angle A ?$ What is the side adjacent to $\angle A ?$

Select the figure that shows the correct line(s) of symmetry for the illustration.

Use algebra to find the value of x in the triangle. Notice that the measurement of the angle is not necessarily the same as the value of x .

Describe line symmetry.

Select the figure that shows the correct line(s) of symmetry for the illustration of the flag, without its flagpole.

Consider the figure. $Consider the figure. Name an angle congruent to \angle D O B .$ Name an angle congruent to $\angle D O B$ .

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Exam 5: Introduction to Geometry

Find the angles of a triangle if it is known that the measures of the angles are x,x+30, and x+60x , x + 30 , \text { and } x + 60x,x+30, and x+60 .

Does the picture illustrate a line symmetry? Chambered nautilus __________ ( Yes, symmetric / No, not symmetric )

Name the polygon in the figure according to the number of sides.

Find the sine, cosine, and tangent for the angle AAA where a=11a = \sqrt { 11 }a=11​ and b=14b = \sqrt { 14 }b=14​

Answer yes if the statement is true, or no if it is false. In a trapezoid, opposite sides have equal length.

What is the difference between an axiom and a theorem?

The measures of two angles of ABC\mathrm { ABC }ABC are given. Find the measure of the third angle, if ∠A2=61∘\angle A _ { 2 } = 61 ^ { \circ }∠A2​=61∘ and ∠B=66∘\angle \mathrm { B } = 66 ^ { \circ }∠B=66∘ .

Select the figure that shows the correct line(s) of symmetry for the illustration.

Given are two similar triangles shown in the figure. If a=1a = 1a=1 and b=3b = 3b=3 find CCC

For which pair of triangles does the statement apply? The triangles are not similar.

The symbol ST‾\overline { S T }ST indicates which of the following?

Use the figure to answer the question. Enter the letter of the side of the triangle as your answer. What is the side adjacent to ∠A?\angle A ?∠A?

Select the figure that shows the correct line(s) of symmetry for the illustration.

Use algebra to find the value of x in the triangle. Notice that the measurement of the angle is not necessarily the same as the value of x .

Describe line symmetry.

Classify the requested angles shown in the figure where ℓ1\boldsymbol { \ell } _ { 1 }ℓ1​ and e2\boldsymbol { e } _ { 2 }e2​ are parallel. ∠10\angle 10∠10 if m∠11m \angle 11m∠11 is 90∘90 ^ { \circ }90∘

Find the measure of ∠3\angle 3∠3 in the figure given that line ℓ1\ell _ { 1 }ℓ1​ is parallel to line ℓ2\ell _ { 2 }ℓ2​ and m∠5=120∘m \angle 5 = 120 ^ { \circ }m∠5=120∘ m∠3=m \angle 3 =m∠3= __________ ∘ { \circ }∘

Classify the pair of angles shown in the figure where ℓ1\ell _ { 1 }ℓ1​ and ℓ2\ell _ { 2 }ℓ2​ are parallel. ∠2\angle 2∠2 and ∠4\angle 4∠4 These angles are __________ angles and their measures are __________.

Select the figure that shows the correct line(s) of symmetry for the illustration of the flag, without its flagpole.

Consider the figure. Name an angle congruent to ∠DOB\angle D O B∠DOB .

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Find the angles of a triangle if it is known that the measures of the angles are $x , x + 30 , \text { and } x + 60$ .

Find the sine, cosine, and tangent for the angle $A$ where $a = \sqrt { 11 }$ and $b = \sqrt { 14 }$ $Find the sine, cosine, and tangent for the angle A where a = \sqrt { 11 } and b = \sqrt { 14 }$

Given are two similar triangles shown in the figure. If $a = 1$ and $b = 3$ find $C$

The symbol $\overline { S T }$ indicates which of the following?

Use the figure to answer the question. Enter the letter of the side of the triangle as your answer. $Use the figure to answer the question. Enter the letter of the side of the triangle as your answer. What is the side adjacent to \angle A ?$ What is the side adjacent to $\angle A ?$

Consider the figure. $Consider the figure. Name an angle congruent to \angle D O B .$ Name an angle congruent to $\angle D O B$ .