Question 1

If a tree casts a shadow of $28$ ft at the same time that a $6$ -ft person casts a shadow of $10 \frac { 1 } { 2 }$ ft, find the height of the tree (to the nearest foot).

Accepted Answer

A)  $112$ ft 
B)  $126$ ft 
C)  $16$ ft 
D)  $462$ ft 
E)  $49$ ft 
A)  $112$ ft 
B)  $126$ ft 
C)  $16$ ft 
D)  $462$ ft 
E)  $49$ ft

Question 2

If a tree casts a shadow of $25$ ft at the same time that a $4$ -ft person casts a shadow of $11 \frac { 1 } { 2 }$ ft, find the height of the tree (to the nearest foot). Height of tree $ \approx$ __________ ft

Accepted Answer

The answer of If a tree casts a shadow of...

Question 3

Consider the figure.   Name an angle congruent (but not equal ) to $\angle A O B$ . $\angle$ __________

Accepted Answer

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

Question 4

Distinguish between equal angles and congruent angles.

Accepted Answer

Two angles are equal if they d

Question 5

Does the picture (not just the statue in the picture) illustrate a line symmetry? Winged Lion , China 7th-8th century A.D.

Accepted Answer

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

Question 6

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

Accepted Answer

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

Question 7

Describe line symmetry.

Accepted Answer

A)  If you fold a figure along its line of symmetry, then the figure will not fold onto itself to form a perfect match. 
B)  If you fold a figure along its line of symmetry, then the figure will fold onto itself to form a perfect match. 
C)  A figure has line symmetry if it does not change when it is rotated. 
D)  A figure has line symmetry if it can be drawn using only a straightedge and a compass. 
E)  A figure has line symmetry if it can not be drawn using only a straightedge and a compass. 
A)  If you fold a figure along its line of symmetry, then the figure will not fold onto itself to form a perfect match. 
B)  If you fold a figure along its line of symmetry, then the figure will fold onto itself to form a perfect match. 
C)  A figure has line symmetry if it does not change when it is rotated. 
D)  A figure has line symmetry if it can be drawn using only a straightedge and a compass. 
E)  A figure has line symmetry if it can not be drawn using only a straightedge and a compass.

Question 8

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

Accepted Answer

A)  The figure is not a polygon. 
B)  The figure is a triangle. 
C)  The figure is a quadrilateral. 
D)  The figure is a hexagon. 
E)  The figure is a pentagon. 
A)  The figure is not a polygon. 
B)  The figure is a triangle. 
C)  The figure is a quadrilateral. 
D)  The figure is a hexagon. 
E)  The figure is a pentagon.

Question 9

What is the measure of one of the angles of an equilateral triangle? __________

Accepted Answer

The answer of What is the measure of one of...

Question 10

Assume that the given angles have been measured as $\angle A = 20 ^ { \circ }$ and $\angle B = 118 ^ { \circ }$ . Calculate the angle, x , that could not be found by direct measurement.

Accepted Answer

A)  $\angle x = 42 ^ { \circ }$ 
B)  $\angle x = 70 ^ { \circ }$ 
C)  $\angle x = 222 ^ { \circ }$ 
D)  $\angle x = 98 ^ { \circ }$ 
E)  $\angle x = 20 ^ { \circ }$ 
A)  $\angle x = 42 ^ { \circ }$ 
B)  $\angle x = 70 ^ { \circ }$ 
C)  $\angle x = 222 ^ { \circ }$ 
D)  $\angle x = 98 ^ { \circ }$ 
E)  $\angle x = 20 ^ { \circ }$

Question 11

What are the two categories into which geometry is usually separated?

Accepted Answer

Traditional (Euclide

Question 12

Given are two similar triangles shown in the figure.   If $a ^ { \prime } = 7$ $c ^ { \prime } = 8$ $a = 5$ find $C$

Accepted Answer

A)  $\frac { 7 } { 40 }$ 
B)  $\frac { 56 } { 5 }$ 
C)  $\frac { 3 } { 4 }$ 
D)  $\frac { 5 } { 56 }$ 
E)  $\frac { 40 } { 7 }$ 
A)  $\frac { 7 } { 40 }$ 
B)  $\frac { 56 } { 5 }$ 
C)  $\frac { 3 } { 4 }$ 
D)  $\frac { 5 } { 56 }$ 
E)  $\frac { 40 } { 7 }$

Question 13

Use the figure to answer the question.   What is the hypotenuse?

Accepted Answer

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

Question 14

Find the sine, cosine, and tangent for the angle $A$ where $b = 1$ and $c = \sqrt { 26 }$ .

Accepted Answer

A)  $\sin A \approx 0.9806 , \cos B \approx 0.1961 , \tan A = 5.0000$ 
B)  $\sin A \approx 0.0194 , \cos B \approx 0.8039 , \tan A = 5.0000$ 
C)  $\sin A \approx 0.1961 , \cos B \approx 0.9806 , \tan A = 5.0000$ 
D)  $\sin A \approx 0.9806 , \cos B \approx 0.1961 , \tan A = 0.2000$ 
E)  $\sin A \approx 0.1961 , \cos B \approx 0.9806 , \tan A = 0.2000$ 
A)  $\sin A \approx 0.9806 , \cos B \approx 0.1961 , \tan A = 5.0000$ 
B)  $\sin A \approx 0.0194 , \cos B \approx 0.8039 , \tan A = 5.0000$ 
C)  $\sin A \approx 0.1961 , \cos B \approx 0.9806 , \tan A = 5.0000$ 
D)  $\sin A \approx 0.9806 , \cos B \approx 0.1961 , \tan A = 0.2000$ 
E)  $\sin A \approx 0.1961 , \cos B \approx 0.9806 , \tan A = 0.2000$

Question 15

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

Accepted Answer

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

Question 16

Use algebra to find the value of x .

Accepted Answer

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

Question 17

Two similar triangles are shown in the figure. If $a = 1 ,$ and $b = 5$ find $C$   Enter exact value in simplified form.

Accepted Answer

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

If a tree casts a shadow of $28$ ft at the same time that a $6$ -ft person casts a shadow of $10 \frac { 1 } { 2 }$ ft, find the height of the tree (to the nearest foot).

If a tree casts a shadow of $25$ ft at the same time that a $4$ -ft person casts a shadow of $11 \frac { 1 } { 2 }$ ft, find the height of the tree (to the nearest foot). Height of tree $\approx$ __________ ft

Consider the figure. $Consider the figure. Name an angle congruent (but not equal ) to \angle A O B . \angle $ Name an angle congruent (but not equal ) to $\angle A O B$ . $\angle$

Distinguish between equal angles and congruent angles.

Does the picture (not just the statue in the picture) illustrate a line symmetry? Winged Lion , China 7th-8th century A.D.

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

Describe line symmetry.

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

What is the measure of one of the angles of an equilateral triangle? __________

What are the two categories into which geometry is usually separated?

Given are two similar triangles shown in the figure. $Given are two similar triangles shown in the figure. If a ^ { \prime } = 7 c ^ { \prime } = 8 a = 5 find C$ If $a ^ { \prime } = 7$ $c ^ { \prime } = 8$ $a = 5$ find $C$

Use the figure to answer the question. What is the hypotenuse?

Find the sine, cosine, and tangent for the angle $A$ where $b = 1$ and $c = \sqrt { 26 }$ . $Find the sine, cosine, and tangent for the angle A where b = 1 and c = \sqrt { 26 } .$

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

Use algebra to find the value of x .

Two similar triangles are shown in the figure. If $a = 1 ,$ and $b = 5$ find $C$ Enter exact value in simplified form.

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Exam 5: Introduction to Geometry

If a tree casts a shadow of 282828 ft at the same time that a 666 -ft person casts a shadow of 101210 \frac { 1 } { 2 }1021​ ft, find the height of the tree (to the nearest foot).

If a tree casts a shadow of 252525 ft at the same time that a 444 -ft person casts a shadow of 111211 \frac { 1 } { 2 }1121​ ft, find the height of the tree (to the nearest foot). Height of tree ≈ \approx≈ __________ ft

Consider the figure. Name an angle congruent (but not equal ) to ∠AOB\angle A O B∠AOB . ∠\angle∠ __________

Distinguish between equal angles and congruent angles.

Does the picture (not just the statue in the picture) illustrate a line symmetry? Winged Lion , China 7th-8th century A.D.

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

Describe line symmetry.

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

What is the measure of one of the angles of an equilateral triangle? __________

Assume that the given angles have been measured as ∠A=20∘\angle A = 20 ^ { \circ }∠A=20∘ and ∠B=118∘\angle B = 118 ^ { \circ }∠B=118∘ . Calculate the angle, x , that could not be found by direct measurement.

What are the two categories into which geometry is usually separated?

Given are two similar triangles shown in the figure. If a′=7a ^ { \prime } = 7a′=7 c′=8c ^ { \prime } = 8c′=8 a=5a = 5a=5 find CCC

Use the figure to answer the question. What is the hypotenuse?

Find the sine, cosine, and tangent for the angle AAA where b=1b = 1b=1 and c=26c = \sqrt { 26 }c=26​ .

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

Use algebra to find the value of x .

Two similar triangles are shown in the figure. If a=1,a = 1 ,a=1, and b=5b = 5b=5 find CCC Enter exact value in simplified form.

Arithmetic, Calculators, and Problem Solving

Sets of Numbers

Introduction to Algebra

Percents and Problem Solving

Measurement and Problem Solving

Applications of Percent

Sets and Logic

Probability

Statistics

Graphs

Filters

If a tree casts a shadow of $28$ ft at the same time that a $6$ -ft person casts a shadow of $10 \frac { 1 } { 2 }$ ft, find the height of the tree (to the nearest foot).

If a tree casts a shadow of $25$ ft at the same time that a $4$ -ft person casts a shadow of $11 \frac { 1 } { 2 }$ ft, find the height of the tree (to the nearest foot). Height of tree $\approx$ __________ ft

Consider the figure. $Consider the figure. Name an angle congruent (but not equal ) to \angle A O B . \angle $ Name an angle congruent (but not equal ) to $\angle A O B$ . $\angle$

Given are two similar triangles shown in the figure. $Given are two similar triangles shown in the figure. If a ^ { \prime } = 7 c ^ { \prime } = 8 a = 5 find C$ If $a ^ { \prime } = 7$ $c ^ { \prime } = 8$ $a = 5$ find $C$

Find the sine, cosine, and tangent for the angle $A$ where $b = 1$ and $c = \sqrt { 26 }$ . $Find the sine, cosine, and tangent for the angle A where b = 1 and c = \sqrt { 26 } .$

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

Two similar triangles are shown in the figure. If $a = 1 ,$ and $b = 5$ find $C$ Enter exact value in simplified form.