Question 1

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 2

Describe a right angle.

Accepted Answer

A)  $\text { A right angle has a measure of } 90 ^ { \circ } \text {. }$ 
B)  $\text { A right angle has a measure of } 90 ^ { \circ } \text { or less. }$ 
C)  $\text { A right angle has a measure of } 180 ^ { \circ } \text {. }$ 
D)  $\text { A right angle has a measure greater than } 90 ^ { \circ }$ 
E)  $\text { A right angle has a measure no greater than } 90 ^ { \circ }$ 
A)  $\text { A right angle has a measure of } 90 ^ { \circ } \text {. }$ 
B)  $\text { A right angle has a measure of } 90 ^ { \circ } \text { or less. }$ 
C)  $\text { A right angle has a measure of } 180 ^ { \circ } \text {. }$ 
D)  $\text { A right angle has a measure greater than } 90 ^ { \circ }$ 
E)  $\text { A right angle has a measure no greater than } 90 ^ { \circ }$

Question 3

Does the picture illustrate a line symmetry? Empire State Building, New York City

Accepted Answer

A)  No, not symmetric 
B)  Yes, symmetric 
A)  No, not symmetric 
B)  Yes, symmetric

Question 4

Find the sum of the angles of a heptagon.

Accepted Answer

A)  $902 ^ { \circ }$ 
B)  $890 ^ { \circ }$ 
C)  $910 ^ { \circ }$ 
D)  $903 ^ { \circ }$ 
E)  $900 ^ { \circ }$ 
A)  $902 ^ { \circ }$ 
B)  $890 ^ { \circ }$ 
C)  $910 ^ { \circ }$ 
D)  $903 ^ { \circ }$ 
E)  $900 ^ { \circ }$

Question 5

Use similar triangles and a proportion to find the length of the lake shown in the figure where distance $a = 136$ ft, distance $b = 232$ ft, and distance $d = 43$ ft.   Round your answer to the nearest foot. Length of the lake $ \approx$ __________ ft.

Accepted Answer

The answer of Use similar triangles and a proportion to...

Question 6

Name the corresponding parts in the triangles.   $\overline { A C } ,$ __________ $\overline { B C }$ __________ $\overline { A B }$ __________ $\angle B , \angle$--------------- $\angle B C A , \angle$--------- $\angle B A C , \angle$-----------

Accepted Answer

The answer of Name the corresponding parts in the triangles....

Question 7

The ray that begins at point P and passes through point Q is written with which symbol?

Accepted Answer

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

Question 8

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 9

Find the sine, cosine, and tangent for the angle $A$ where $a = 4$ and $b = 5$ .

Accepted Answer

A)  $\sin A \approx 0.6247 , \cos A \approx 0.7809 , \tan A = 0.8000$ 
B)  $\sin A \approx 0.7809 , \cos A \approx 0.6247 , \tan A = 0.8000$ 
C)  $\sin A \approx 0.3753 , \cos A \approx 0.2191 , \tan A = 0.8000$ 
D)  $\sin A \approx 0.7809 , \cos A \approx 0.6247 , \tan A = 1.2500$ 
E)  $\sin A \approx 0.6247 , \cos A \approx 0.7809 , \tan A = 1.2500$ 
A)  $\sin A \approx 0.6247 , \cos A \approx 0.7809 , \tan A = 0.8000$ 
B)  $\sin A \approx 0.7809 , \cos A \approx 0.6247 , \tan A = 0.8000$ 
C)  $\sin A \approx 0.3753 , \cos A \approx 0.2191 , \tan A = 0.8000$ 
D)  $\sin A \approx 0.7809 , \cos A \approx 0.6247 , \tan A = 1.2500$ 
E)  $\sin A \approx 0.6247 , \cos A \approx 0.7809 , \tan A = 1.2500$

Question 10

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

Accepted Answer

The answer of Name the polygon in the figure according...

Question 11

Find the sine, cosine, and tangent for the angle $A$ where $b = 1$ and $a = \sqrt { 5 }$   Round your answers to four decimal places. $\sin A \approx$ __________ $\cos A \approx$ __________ $\tan A \approx$ __________

Accepted Answer

0.9129; 0.

Question 12

The measures of two angles of $A B C$ are given. Find the measure of the third angle, if $\angle A = 23 ^ { \circ }$ and $$\angle B = 14 ^ { \circ }$$ .

Accepted Answer

A)  $\angle C = 133 ^ { \circ }$ 
B)  $\angle C = 333 ^ { \circ }$ 
C)  $\angle C = 323 ^ { \circ }$ 
D)  $\angle C ^ { \circ } = 53 ^ { \circ }$ 
E)  $\angle C = 143 ^ { \circ }$ 
A)  $\angle C = 133 ^ { \circ }$ 
B)  $\angle C = 333 ^ { \circ }$ 
C)  $\angle C = 323 ^ { \circ }$ 
D)  $\angle C ^ { \circ } = 53 ^ { \circ }$ 
E)  $\angle C = 143 ^ { \circ }$

Question 13

The legs of a picnic table form two isosceles triangles where $\angle A C B = 92 ^ { \circ }$ . Find the measures of angles $x$ and y so that the top of the table will be parallel to the ground.

Accepted Answer

The answer of The legs of a picnic table form...

Question 14

The measures of two angles of $\triangle A B C$ are given. Find the measure of the third angle, if $\angle A = 65 ^ { \circ }$ and $\angle B = 58 ^ { \circ }$ .

Accepted Answer

The answer of The measures of two angles of \(\triangle...

Question 15

Does the picture illustrate a line symmetry? Empire State Building, New York City   __________ ( Yes, symmetric / No, not symmetric )

Accepted Answer

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

Question 16

Consider the figure.   Classify the angle $\angle D B C$ as acute, right, straight, or obtuse.

Accepted Answer

The answer of Consider the figure.   Classify the...

Question 17

Consider the figure.   Name an angle equal to $\angle C$ . $\angle$ __________

Accepted Answer

The answer of Consider the figure.   Name an...

Question 18

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

A)  $x = 12.92$ 
B)  $x = 25$ 
C)  $x = 12.5$ 
D)  $x = 22.5$ 
E)  $x = 177$ 
A)  $x = 12.92$ 
B)  $x = 25$ 
C)  $x = 12.5$ 
D)  $x = 22.5$ 
E)  $x = 177$

Question 19

Find the trigonometric ratio. Round your answer to four decimal places. $\sin 83 ^ { \circ }$

Accepted Answer

A)  $0.9684$ 
B)  $8.1443$ 
C)  $0.9920$ 
D)  $0.9930$ 
E)  $0.9925$ 
A)  $0.9684$ 
B)  $8.1443$ 
C)  $0.9920$ 
D)  $0.9930$ 
E)  $0.9925$

Question 20

Find the sine, cosine, and tangent for the angle $A$ where $a = 1$ and $c = 5$   Round your answers to four decimal places if necessary. $\sin A =$ __________ $\cos A \&$ __________ $\tan A \approx$ __________

Accepted Answer

0.2000; 0.

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

Describe a right angle.

Does the picture illustrate a line symmetry? Empire State Building, New York City

Find the sum of the angles of a heptagon.

The ray that begins at point P and passes through point Q is written with which symbol?

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 sine, cosine, and tangent for the angle $A$ where $a = 4$ and $b = 5$ .

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

The measures of two angles of $A B C$ are given. Find the measure of the third angle, if $\angle A = 23 ^ { \circ }$ and $\angle B = 14 ^ { \circ }$ . $The measures of two angles of A B C are given. Find the measure of the third angle, if \angle A = 23 ^ { \circ } and \angle B = 14 ^ { \circ } .$

Does the picture illustrate a line symmetry? Empire State Building, New York City __________ ( Yes, symmetric / No, not symmetric )

Consider the figure. $Consider the figure. Classify the angle \angle D B C as acute, right, straight, or obtuse.$ Classify the angle $\angle D B C$ as acute, right, straight, or obtuse.

Consider the figure. $Consider the figure. Name an angle equal to \angle C . \angle $ Name an angle equal to $\angle C$ . $\angle$

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 .

Find the trigonometric ratio. Round your answer to four decimal places. $\sin 83 ^ { \circ }$

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Exam 5: Introduction to Geometry

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

Describe a right angle.

Does the picture illustrate a line symmetry? Empire State Building, New York City

Find the sum of the angles of a heptagon.

Use similar triangles and a proportion to find the length of the lake shown in the figure where distance a=136a = 136a=136 ft, distance b=232b = 232b=232 ft, and distance d=43d = 43d=43 ft. Round your answer to the nearest foot. Length of the lake ≈ \approx≈ __________ ft.

The ray that begins at point P and passes through point Q is written with which symbol?

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 sine, cosine, and tangent for the angle AAA where a=4a = 4a=4 and b=5b = 5b=5 .

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

Find the sine, cosine, and tangent for the angle AAA where b=1b = 1b=1 and a=5a = \sqrt { 5 }a=5​ Round your answers to four decimal places. sin⁡A≈\sin A \approxsinA≈ __________ cos⁡A≈\cos A \approxcosA≈ __________ tan⁡A≈\tan A \approxtanA≈ __________

The measures of two angles of ABCA B CABC are given. Find the measure of the third angle, if ∠A=23∘\angle A = 23 ^ { \circ }∠A=23∘ and ∠B=14∘\angle B = 14 ^ { \circ }∠B=14∘ .

The legs of a picnic table form two isosceles triangles where ∠ACB=92∘\angle A C B = 92 ^ { \circ }∠ACB=92∘ . Find the measures of angles xxx and y so that the top of the table will be parallel to the ground.

The measures of two angles of △ABC\triangle A B C△ABC are given. Find the measure of the third angle, if ∠A=65∘\angle A = 65 ^ { \circ }∠A=65∘ and ∠B=58∘\angle B = 58 ^ { \circ }∠B=58∘ .

Does the picture illustrate a line symmetry? Empire State Building, New York City __________ ( Yes, symmetric / No, not symmetric )

Consider the figure. Classify the angle ∠DBC\angle D B C∠DBC as acute, right, straight, or obtuse.

Consider the figure. Name an angle equal to ∠C\angle C∠C . ∠\angle∠ __________

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 .

Find the trigonometric ratio. Round your answer to four decimal places. sin⁡83∘\sin 83 ^ { \circ }sin83∘

Find the sine, cosine, and tangent for the angle AAA where a=1a = 1a=1 and c=5c = 5c=5 Round your answers to four decimal places if necessary. sin⁡A=\sin A =sinA= __________ cos⁡A&\cos A \&cosA& __________ tan⁡A≈\tan A \approxtanA≈ __________

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Find the sine, cosine, and tangent for the angle $A$ where $a = 4$ and $b = 5$ .

The measures of two angles of $A B C$ are given. Find the measure of the third angle, if $\angle A = 23 ^ { \circ }$ and $\angle B = 14 ^ { \circ }$ . $The measures of two angles of A B C are given. Find the measure of the third angle, if \angle A = 23 ^ { \circ } and \angle B = 14 ^ { \circ } .$

Consider the figure. $Consider the figure. Classify the angle \angle D B C as acute, right, straight, or obtuse.$ Classify the angle $\angle D B C$ as acute, right, straight, or obtuse.

Consider the figure. $Consider the figure. Name an angle equal to \angle C . \angle $ Name an angle equal to $\angle C$ . $\angle$

Find the trigonometric ratio. Round your answer to four decimal places. $\sin 83 ^ { \circ }$