Question 1

The symbol   indicates which of the following?

Accepted Answer

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

Question 2

Use similar triangles and a proportion to find the distance across the swamp shown in the figure where distance $a = 125$ ft, distance $b = 235$ ft, and distance $$d = 70$$ ft.   Round your answer to the nearest foot. Distance across the swamp $ \approx$ __________ ft.

Accepted Answer

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

Question 3

Find the angles of a triangle if it is known that the measures of the angles are $x , 2 x \text {, and } 6 x$ .

Accepted Answer

A)  $30 ^ { \circ } , 60 ^ { \circ } , 90 ^ { \circ }$ 
B)  $40 ^ { \circ } , 80 ^ { \circ } , 240 ^ { \circ }$ 
C)  $20 ^ { \circ } , 40 ^ { \circ } , 120 ^ { \circ }$ 
D)  $20 ^ { \circ } , 60 ^ { \circ } , 70 ^ { \circ }$ 
E)  $30 ^ { \circ } , 60 ^ { \circ } , 180 ^ { \circ }$ 
A)  $30 ^ { \circ } , 60 ^ { \circ } , 90 ^ { \circ }$ 
B)  $40 ^ { \circ } , 80 ^ { \circ } , 240 ^ { \circ }$ 
C)  $20 ^ { \circ } , 40 ^ { \circ } , 120 ^ { \circ }$ 
D)  $20 ^ { \circ } , 60 ^ { \circ } , 70 ^ { \circ }$ 
E)  $30 ^ { \circ } , 60 ^ { \circ } , 180 ^ { \circ }$

Question 4

The length of line segment $\overline{AB}$ is written $| A B |$ .

Accepted Answer

A) True 
 B)False

Question 5

Use similar triangles and a proportion to find the distance across the swamp shown in the figure where distance $a = 115$ ft, distance $b = 220$ ft, and distance $d = 75$ ft.   Round your answer to the nearest foot.

Accepted Answer

A)  $218$ ft. 
B)  $143$ ft. 
C)  $514$ ft. 
D)  $39$ ft. 
E)  $337$ ft. 
A)  $218$ ft. 
B)  $143$ ft. 
C)  $514$ ft. 
D)  $39$ ft. 
E)  $337$ ft.

Question 6

For which polygon is the following property satisfied? Interior angles are right angles.

Accepted Answer

A)  rectangle 
B)  parallelogram 
C)  trapezoid 
D)  quadrilateral 
E)  rhombus 
A)  rectangle 
B)  parallelogram 
C)  trapezoid 
D)  quadrilateral 
E)  rhombus

Question 7

Use similar triangles and a proportion to find the length of the lake shown in the figure where distance $a = 102$ ft, distance $b = 187$ ft, and distance $d = 71$ ft.   Round your answer to the nearest foot.

Accepted Answer

A)  $201$ ft. 
B)  $415$ ft. 
C)  $130$ ft. 
D)  $39$ ft. 
E)  $269$ ft. 
A)  $201$ ft. 
B)  $415$ ft. 
C)  $130$ ft. 
D)  $39$ ft. 
E)  $269$ ft.

Question 8

The ray that has an endpoint at A and passes through point B is written $\overrightarrow { A B }$ .

Accepted Answer

A) True 
 B)False

Question 9

Find the sine, cosine, and tangent for the angle $A$ where a = 10 and b = 24.   Enter exact values in simplified form. $\sin A =$ __________ $\cos A =$ __________ $\tan A =$ __________

Accepted Answer

The answer of Find the sine, cosine, and tangent for...

Question 10

Describe a right angle.

Accepted Answer

A right an

Question 11

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 12

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

Accepted Answer

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

Question 13

Tell whether it s possible to conclude that the triangles in the figure are similar.   Enter similar , nonsimilar , or unknown , as your answer.

Accepted Answer

The answer of Tell whether it s possible to conclude...

Question 14

If a carpenter wants to make sure that a building is square and measures 768 ft and 1,024 ft along the walls, how long should he make the diagonal?

Accepted Answer

A)  $1,793$ ft 
B)  $1,493$ ft 
C)  $1,567$ ft 
D)  $1,280$ ft 
E)  $1,792$ ft 
A)  $1,793$ ft 
B)  $1,493$ ft 
C)  $1,567$ ft 
D)  $1,280$ ft 
E)  $1,792$ ft

Question 15

Find the sine, cosine, and tangent for the angle $A$ where $a = 1$ and $c = 3$ .

Accepted Answer

A)  $\sin A \approx 0.3333 , \cos A \approx 0.9428 , \tan A \approx 2.8284$ 
B)  $\sin A \approx 0.9428 , \cos A \approx 0.3333 , \tan A \approx 2.8284$ 
C)  $\sin A \approx 0.3333 , \cos A \approx 0.9428 , \tan A \approx 0.3536$ 
D)  $\sin A \approx 0.6667 , \cos A \approx 0.0572 , \tan A \approx 0.3536$ 
E)  $\sin A \approx 0.9428 , \cos A \approx 0.3333 , \tan A \approx 0.3536$ 
A)  $\sin A \approx 0.3333 , \cos A \approx 0.9428 , \tan A \approx 2.8284$ 
B)  $\sin A \approx 0.9428 , \cos A \approx 0.3333 , \tan A \approx 2.8284$ 
C)  $\sin A \approx 0.3333 , \cos A \approx 0.9428 , \tan A \approx 0.3536$ 
D)  $\sin A \approx 0.6667 , \cos A \approx 0.0572 , \tan A \approx 0.3536$ 
E)  $\sin A \approx 0.9428 , \cos A \approx 0.3333 , \tan A \approx 0.3536$

Question 16

Does the picture illustrate a line symmetry? Butterfly

Accepted Answer

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

Question 17

If the angle from the horizontal to the top of a building is $29 ^ { \circ }$ and the horizontal distance from the base is $79$ ft, what is the height of the building (to the nearest foot)? Height $ \approx$ __________ ft

Accepted Answer

The answer of If the angle from the horizontal to...

Question 18

If a carpenter wants to make sure that a building is square and measures 768 ft and 1,024 ft along the walls, how long should he make the diagonal? 
Length of diagonal = __________ ft

Accepted Answer

The answer of If a carpenter wants to make sure...

Question 19

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

Accepted Answer

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

Question 20

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

Accepted Answer

A)  corresponding and congruent 
B)  alternate interior and congruent 
C)  vertical and supplementary 
D)  vertical and congruent 
E)  adjacent and supplementary 
A)  corresponding and congruent 
B)  alternate interior and congruent 
C)  vertical and supplementary 
D)  vertical and congruent 
E)  adjacent and supplementary

The symbol indicates which of the following?

Find the angles of a triangle if it is known that the measures of the angles are $x , 2 x \text {, and } 6 x$ .

The length of line segment $\overline{AB}$ is written $| A B |$ .

Use similar triangles and a proportion to find the distance across the swamp shown in the figure where distance $a = 115$ ft, distance $b = 220$ ft, and distance $d = 75$ ft. Round your answer to the nearest foot.

For which polygon is the following property satisfied? Interior angles are right angles.

Use similar triangles and a proportion to find the length of the lake shown in the figure where distance $a = 102$ ft, distance $b = 187$ ft, and distance $d = 71$ ft. Round your answer to the nearest foot.

The ray that has an endpoint at A and passes through point B is written $\overrightarrow { A B }$ .

Find the sine, cosine, and tangent for the angle $A$ where a = 10 and b = 24. $Find the sine, cosine, and tangent for the angle A where a = 10 and b = 24. Enter exact values in simplified form. \sin A = \cos A = \tan A = $ Enter exact values in simplified form. $\sin A =$ $\cos A =$ $\tan A =$

Describe a right angle.

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

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

Tell whether it s possible to conclude that the triangles in the figure are similar. Enter similar , nonsimilar , or unknown , as your answer.

If a carpenter wants to make sure that a building is square and measures 768 ft and 1,024 ft along the walls, how long should he make the diagonal?

Find the sine, cosine, and tangent for the angle $A$ where $a = 1$ and $c = 3$ .

Does the picture illustrate a line symmetry? Butterfly

If the angle from the horizontal to the top of a building is $29 ^ { \circ }$ and the horizontal distance from the base is $79$ ft, what is the height of the building (to the nearest foot)? Height $\approx$ __________ ft

If a carpenter wants to make sure that a building is square and measures 768 ft and 1,024 ft along the walls, how long should he make the diagonal? Length of diagonal = __________ ft

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

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

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Exam 5: Introduction to Geometry

The symbol indicates which of the following?

Use similar triangles and a proportion to find the distance across the swamp shown in the figure where distance a=125a = 125a=125 ft, distance b=235b = 235b=235 ft, and distance d=70d = 70d=70 ft. Round your answer to the nearest foot. Distance across the swamp ≈ \approx≈ __________ ft.

Find the angles of a triangle if it is known that the measures of the angles are x,2x, and 6xx , 2 x \text {, and } 6 xx,2x, and 6x .

The length of line segment AB‾\overline{AB}AB is written ∣AB∣| A B |∣AB∣ .

Use similar triangles and a proportion to find the distance across the swamp shown in the figure where distance a=115a = 115a=115 ft, distance b=220b = 220b=220 ft, and distance d=75d = 75d=75 ft. Round your answer to the nearest foot.

For which polygon is the following property satisfied? Interior angles are right angles.

Use similar triangles and a proportion to find the length of the lake shown in the figure where distance a=102a = 102a=102 ft, distance b=187b = 187b=187 ft, and distance d=71d = 71d=71 ft. Round your answer to the nearest foot.

The ray that has an endpoint at A and passes through point B is written AB→\overrightarrow { A B }AB .

Find the sine, cosine, and tangent for the angle AAA where a = 10 and b = 24. Enter exact values in simplified form. sin⁡A=\sin A =sinA= __________ cos⁡A=\cos A =cosA= __________ tan⁡A=\tan A =tanA= __________

Describe a right angle.

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

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

Tell whether it s possible to conclude that the triangles in the figure are similar. Enter similar , nonsimilar , or unknown , as your answer.

If a carpenter wants to make sure that a building is square and measures 768 ft and 1,024 ft along the walls, how long should he make the diagonal?

Find the sine, cosine, and tangent for the angle AAA where a=1a = 1a=1 and c=3c = 3c=3 .

Does the picture illustrate a line symmetry? Butterfly

If the angle from the horizontal to the top of a building is 29∘29 ^ { \circ }29∘ and the horizontal distance from the base is 797979 ft, what is the height of the building (to the nearest foot)? Height ≈ \approx≈ __________ ft

If a carpenter wants to make sure that a building is square and measures 768 ft and 1,024 ft along the walls, how long should he make the diagonal? Length of diagonal = __________ ft

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

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

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Find the angles of a triangle if it is known that the measures of the angles are $x , 2 x \text {, and } 6 x$ .

The length of line segment $\overline{AB}$ is written $| A B |$ .

Use similar triangles and a proportion to find the distance across the swamp shown in the figure where distance $a = 115$ ft, distance $b = 220$ ft, and distance $d = 75$ ft. Round your answer to the nearest foot.

Use similar triangles and a proportion to find the length of the lake shown in the figure where distance $a = 102$ ft, distance $b = 187$ ft, and distance $d = 71$ ft. Round your answer to the nearest foot.

The ray that has an endpoint at A and passes through point B is written $\overrightarrow { A B }$ .

Find the sine, cosine, and tangent for the angle $A$ where a = 10 and b = 24. $Find the sine, cosine, and tangent for the angle A where a = 10 and b = 24. Enter exact values in simplified form. \sin A = \cos A = \tan A = $ Enter exact values in simplified form. $\sin A =$ $\cos A =$ $\tan A =$

Find the sine, cosine, and tangent for the angle $A$ where $a = 1$ and $c = 3$ .

If the angle from the horizontal to the top of a building is $29 ^ { \circ }$ and the horizontal distance from the base is $79$ ft, what is the height of the building (to the nearest foot)? Height $\approx$ __________ ft

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