Question 1

Use the illustration to draw $\overline { G H }$ .

Accepted Answer

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

Question 2

What is the measure of the non-acute angle of a right triangle?

Accepted Answer

A)  $180 ^ { \circ }$ 
B)  $60 ^ { \circ }$ 
C)  $45 ^ { \circ }$ 
D)  $40 ^ { \circ }$ 
E)  $90 ^ { \circ }$ 
A)  $180 ^ { \circ }$ 
B)  $60 ^ { \circ }$ 
C)  $45 ^ { \circ }$ 
D)  $40 ^ { \circ }$ 
E)  $90 ^ { \circ }$

Question 3

Find the sine, cosine, and tangent for the angle $A$ where $b = 1$ and $c = \sqrt { 26 }$   Round your answers to four decimal places. $\sin A \approx$ __________ $\cos A \approx$ __________ $\tan A =$ __________

Accepted Answer

0.9806; 0.

Question 4

Use the illustration to draw $\overrightarrow { R S }$ .

Accepted Answer

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

Question 5

Match between columns
                        Premises: right isosceles
right scalene
right equilateral
obtuse scalene
acute isosceles
obtuse isosceles
acute scalene
acute equilateral
obtuse equilateral

Accepted Answer

The Answer of 11ec1ea4_7c91_4e66_be9b_ffaf9f832946_TBX9050_11 and 11ec1ea4_7c91_4e6a_be9b_e71034b96010_TBX9050_11 and 11ec1ea4_7c91_2755_be9b_a5e492af5ece_TBX9050_11 and 11ec1ea4_7c91_2751_be9b_9f9925c62902_TBX9050_11 is...

Question 6

The line segment that connects points P and Q is written with which symbol?

Accepted Answer

A)  $\overline{P Q}$ 
B)    
C)  $| P Q |$ 
D)  $\overrightarrow { P Q }$ 
E)  $P Q$ 
A)  $\overline{P Q}$ 
B)    
C)  $| P Q |$ 
D)  $\overrightarrow { P Q }$ 
E)  $P Q$

Question 7

Find the measure of the indicated exterior angle.

Accepted Answer

The answer of Find the measure of the indicated exterior...

Question 8

Two similar triangles are shown in the figure. If $a = 8 ,$ $b = 10$ and $b ^ { \prime } = 5$ find $a ^ { \prime }$   $$a ^ { \prime } =$$ __________

Accepted Answer

The answer of Two similar triangles are shown in the...

Question 9

Select the best description of the triangle.   Answer with one of the following: acute scalene , acute isosceles , acute equilateral , right scalene , right isosceles , right equilateral , obtuse scalene , or obtuse isosceles .

Accepted Answer

The answer of Select the best description of the triangle....

Question 10

Find the angles of a triangle if it is known that the measures of the angles are $n , 4 n - 15 , \text { and } 4 ( 40 - n )$ .

Accepted Answer

A)  $70 ^ { \circ } , 250 ^ { \circ } , 40 ^ { \circ }$ 
B)  $175 ^ { \circ } , 145 ^ { \circ } , 40 ^ { \circ }$ 
C)  $30 ^ { \circ } , 105 ^ { \circ } , 130 ^ { \circ }$ 
D)  $40 ^ { \circ } , 15 ^ { \circ } , 125 ^ { \circ }$ 
E)  $35 ^ { \circ } , 125 ^ { \circ } , 20 ^ { \circ }$ 
A)  $70 ^ { \circ } , 250 ^ { \circ } , 40 ^ { \circ }$ 
B)  $175 ^ { \circ } , 145 ^ { \circ } , 40 ^ { \circ }$ 
C)  $30 ^ { \circ } , 105 ^ { \circ } , 130 ^ { \circ }$ 
D)  $40 ^ { \circ } , 15 ^ { \circ } , 125 ^ { \circ }$ 
E)  $35 ^ { \circ } , 125 ^ { \circ } , 20 ^ { \circ }$

Question 11

The measures of two angles of $\Delta$ $A B C$ are given. Find the measure of the exterior angle, $x$ , if $\angle A = 31 ^ { \circ }$ and $\angle C = 36 ^ { \circ }$ .

Accepted Answer

The answer of The measures of two angles of $\Delta$...

Question 12

The line that passes through points A and B is written $\overrightarrow { A B }$ .

Accepted Answer

A) True 
 B)False

Question 13

Use the figure to answer the question.   What is $\sin B ?$

Accepted Answer

A)  $\frac { b } { a }$ 
B)  $\frac { a } { b }$ 
C)  $\frac{a}{c}$ 
D)  $\frac { c } { b }$ 
E)  $\frac { b } { c }$ 
A)  $\frac { b } { a }$ 
B)  $\frac { a } { b }$ 
C)  $\frac{a}{c}$ 
D)  $\frac { c } { b }$ 
E)  $\frac { b } { c }$

Question 14

A wire from the top of a TV tower to the ground makes an angle of 49.3   with the ground and touches ground 230 feet from the base of the tower. How high is the tower (rounded to the nearest tenth of a foot)?

Accepted Answer

A)  $303.4$ ft 
B)  $195.5$ ft 
C)  $197.8$ ft 
D)  $241.7$ ft 
E)  $267.4$ ft 
A)  $303.4$ ft 
B)  $195.5$ ft 
C)  $197.8$ ft 
D)  $241.7$ ft 
E)  $267.4$ ft

Question 15

Find the measure of the exterior angle, x , if $\angle A = 33 ^ { \circ }$ and $\angle C = 40 ^ { \circ }$ .

Accepted Answer

A)  $x = 73 ^ { \circ }$ 
B)  $x = 33 ^ { \circ }$ 
C)  $x = 107 ^ { \circ }$ 
D)  $x = 253 ^ { \circ }$ 
E)  $x = 68 ^ { \circ }$ 
A)  $x = 73 ^ { \circ }$ 
B)  $x = 33 ^ { \circ }$ 
C)  $x = 107 ^ { \circ }$ 
D)  $x = 253 ^ { \circ }$ 
E)  $x = 68 ^ { \circ }$

Question 16

Find the sine, cosine, and tangent for the angle $A$ where $a = \sqrt { 10 }$ and $b = \sqrt { 15 }$   Round your answers to four decimal places. $\sin A \approx$ __________ $\cos A \approx$ __________ $\tan A \approx$ __________

Accepted Answer

0.6325; 0.

Question 17

If the angle from the horizontal to the top of a building is $34 ^ { \circ }$ and the horizontal distance from the base is $91$ ft, what is the height of the building (to the nearest foot)?

Accepted Answer

A)  61 ft 
B)  135 ft 
C)  163 ft 
D)  75 ft 
E)  51 ft 
A)  61 ft 
B)  135 ft 
C)  163 ft 
D)  75 ft 
E)  51 ft

Question 18

Each of the four diagrams in the figure shows lines in the same plane. a.
 
b.
 
c.
 
d.
 
 Is this statement true or false ? The lines $\mathrm { C } _ { 2 }$ and $c _ { 1 }$ are perpendicular.

Accepted Answer

The answer of Each of the four diagrams in the...

Question 19

The legs of a picnic table form two isosceles triangles where $\angle A C B = 110 ^ { \circ }$ . Find the measures of angles $x$ and y so that the top of the table will be parallel to the ground.

Accepted Answer

A)  $x = 35 ^ { \circ } , y = 145 ^ { \circ }$ 
B)  $x = 145 ^ { \circ } , y = 35 ^ { \circ }$ 
C)  $x = 150 ^ { \circ } , y = 30 ^ { \circ }$ 
D)  $x = 125 ^ { \circ } , y = 55 ^ { \circ }$ 
E)  $x = 110 ^ { \circ } , y = 70 ^ { \circ }$ 
A)  $x = 35 ^ { \circ } , y = 145 ^ { \circ }$ 
B)  $x = 145 ^ { \circ } , y = 35 ^ { \circ }$ 
C)  $x = 150 ^ { \circ } , y = 30 ^ { \circ }$ 
D)  $x = 125 ^ { \circ } , y = 55 ^ { \circ }$ 
E)  $x = 110 ^ { \circ } , y = 70 ^ { \circ }$

Question 20

Use algebra to find the value of x .

Accepted Answer

A)  $x = 16$ 
B)  $x = 6$ 
C)  $x = 26$ 
D)  $x = 7$ 
E)  $x = 24$ 
A)  $x = 16$ 
B)  $x = 6$ 
C)  $x = 26$ 
D)  $x = 7$ 
E)  $x = 24$

Use the illustration to draw $\overline { G H }$ . $Use the illustration to draw \overline { G H } .$

What is the measure of the non-acute angle of a right triangle?

Use the illustration to draw $\overrightarrow { R S }$ . $Use the illustration to draw \overrightarrow { R S } .$

The line segment that connects points P and Q is written with which symbol?

Find the measure of the indicated exterior angle.

Two similar triangles are shown in the figure. If $a = 8 ,$ $b = 10$ and $b ^ { \prime } = 5$ find $a ^ { \prime }$ $Two similar triangles are shown in the figure. If a = 8 , b = 10 and b ^ { \prime } = 5 find a ^ { \prime } a ^ { \prime } = $ $a ^ { \prime } =$

Select the best description of the triangle. Answer with one of the following: acute scalene , acute isosceles , acute equilateral , right scalene , right isosceles , right equilateral , obtuse scalene , or obtuse isosceles .

Find the angles of a triangle if it is known that the measures of the angles are $n , 4 n - 15 , \text { and } 4 ( 40 - n )$ .

The line that passes through points A and B is written $\overrightarrow { A B }$ .

Use the figure to answer the question. $Use the figure to answer the question. What is \sin B ?$ What is $\sin B ?$

A wire from the top of a TV tower to the ground makes an angle of 49.3 with the ground and touches ground 230 feet from the base of the tower. How high is the tower (rounded to the nearest tenth of a foot)?

Find the measure of the exterior angle, x , if $\angle A = 33 ^ { \circ }$ and $\angle C = 40 ^ { \circ }$ . $Find the measure of the exterior angle, x , if \angle A = 33 ^ { \circ } and \angle C = 40 ^ { \circ } .$

If the angle from the horizontal to the top of a building is $34 ^ { \circ }$ and the horizontal distance from the base is $91$ ft, what is the height of the building (to the nearest foot)?

Use algebra to find the value of x .

Arithmetic, Calculators, and Problem Solving

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Exam 5: Introduction to Geometry

Use the illustration to draw GH‾\overline { G H }GH .

What is the measure of the non-acute angle of a right triangle?

Find the sine, cosine, and tangent for the angle AAA where b=1b = 1b=1 and c=26c = \sqrt { 26 }c=26​ Round your answers to four decimal places. sin⁡A≈\sin A \approxsinA≈ __________ cos⁡A≈\cos A \approxcosA≈ __________ tan⁡A=\tan A =tanA= __________

Use the illustration to draw RS→\overrightarrow { R S }RS .

The line segment that connects points P and Q is written with which symbol?

Find the measure of the indicated exterior angle.

Two similar triangles are shown in the figure. If a=8,a = 8 ,a=8, b=10b = 10b=10 and b′=5b ^ { \prime } = 5b′=5 find a′a ^ { \prime }a′ a′=a ^ { \prime } =a′= __________

Select the best description of the triangle. Answer with one of the following: acute scalene , acute isosceles , acute equilateral , right scalene , right isosceles , right equilateral , obtuse scalene , or obtuse isosceles .

Find the angles of a triangle if it is known that the measures of the angles are n,4n−15, and 4(40−n)n , 4 n - 15 , \text { and } 4 ( 40 - n )n,4n−15, and 4(40−n) .

The measures of two angles of Δ\DeltaΔ ABCA B CABC are given. Find the measure of the exterior angle, xxx , if ∠A=31∘\angle A = 31 ^ { \circ }∠A=31∘ and ∠C=36∘\angle C = 36 ^ { \circ }∠C=36∘ .

The line that passes through points A and B is written AB→\overrightarrow { A B }AB .

Use the figure to answer the question. What is sin⁡B?\sin B ?sinB?

A wire from the top of a TV tower to the ground makes an angle of 49.3 with the ground and touches ground 230 feet from the base of the tower. How high is the tower (rounded to the nearest tenth of a foot)?

Find the measure of the exterior angle, x , if ∠A=33∘\angle A = 33 ^ { \circ }∠A=33∘ and ∠C=40∘\angle C = 40 ^ { \circ }∠C=40∘ .

Find the sine, cosine, and tangent for the angle AAA where a=10a = \sqrt { 10 }a=10​ and b=15b = \sqrt { 15 }b=15​ Round your answers to four decimal places. sin⁡A≈\sin A \approxsinA≈ __________ cos⁡A≈\cos A \approxcosA≈ __________ tan⁡A≈\tan A \approxtanA≈ __________

If the angle from the horizontal to the top of a building is 34∘34 ^ { \circ }34∘ and the horizontal distance from the base is 919191 ft, what is the height of the building (to the nearest foot)?

Each of the four diagrams in the figure shows lines in the same plane. a. b. c. d. Is this statement true or false ? The lines C2\mathrm { C } _ { 2 }C2​ and c1c _ { 1 }c1​ are perpendicular.

The legs of a picnic table form two isosceles triangles where ∠ACB=110∘\angle A C B = 110 ^ { \circ }∠ACB=110∘ . Find the measures of angles xxx and y so that the top of the table will be parallel to the ground.

Use algebra to find the value of x .

Arithmetic, Calculators, and Problem Solving

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Use the illustration to draw $\overline { G H }$ . $Use the illustration to draw \overline { G H } .$

Use the illustration to draw $\overrightarrow { R S }$ . $Use the illustration to draw \overrightarrow { R S } .$

Two similar triangles are shown in the figure. If $a = 8 ,$ $b = 10$ and $b ^ { \prime } = 5$ find $a ^ { \prime }$ $Two similar triangles are shown in the figure. If a = 8 , b = 10 and b ^ { \prime } = 5 find a ^ { \prime } a ^ { \prime } = $ $a ^ { \prime } =$

Find the angles of a triangle if it is known that the measures of the angles are $n , 4 n - 15 , \text { and } 4 ( 40 - n )$ .

The line that passes through points A and B is written $\overrightarrow { A B }$ .

Use the figure to answer the question. $Use the figure to answer the question. What is \sin B ?$ What is $\sin B ?$

Find the measure of the exterior angle, x , if $\angle A = 33 ^ { \circ }$ and $\angle C = 40 ^ { \circ }$ . $Find the measure of the exterior angle, x , if \angle A = 33 ^ { \circ } and \angle C = 40 ^ { \circ } .$

If the angle from the horizontal to the top of a building is $34 ^ { \circ }$ and the horizontal distance from the base is $91$ ft, what is the height of the building (to the nearest foot)?