Question 1

Find the measure of ∠x.
-

Accepted Answer

A)  49° 
B)  48° 
C)  83° 
D)  Not enough information to solve 
A)  49° 
B)  48° 
C)  83° 
D)  Not enough information to solve

Question 2

The figures are similar. Find the length of the missing side indicated with an x or y.
-

Accepted Answer

A)  $x = 66$ 
B)  $x = 22$ 
C)  $x = 99$ 
D)  $x = 33$ 
A)  $x = 66$ 
B)  $x = 22$ 
C)  $x = 99$ 
D)  $x = 33$

Question 3

Find the perimeter of the polygon.
-

Accepted Answer

A)  $8.1 \mathrm {~m}$ 
B)  $16.2 \mathrm {~m}$ 
C)  $13.6 \mathrm {~m}$ 
D)  $10.7 \mathrm {~m}$ 
A)  $8.1 \mathrm {~m}$ 
B)  $16.2 \mathrm {~m}$ 
C)  $13.6 \mathrm {~m}$ 
D)  $10.7 \mathrm {~m}$

Question 4

Decide whether the statement is true or false.
-Angles, like lines, can also be named with a single lower case letter.

Accepted Answer

A) True 
 B)False

Question 5

Find the area.
-

Accepted Answer

A)  $15 \frac { 1 } { 3 } \mathrm {~m} ^ { 2 }$ 
B)  $11 \frac { 1 } { 2 } \mathrm {~m} ^ { 2 }$ 
C)  $7 \frac { 2 } { 3 } \mathrm {~m} ^ { 2 }$ 
D)  $23 \mathrm {~m} ^ { 2 }$ 
A)  $15 \frac { 1 } { 3 } \mathrm {~m} ^ { 2 }$ 
B)  $11 \frac { 1 } { 2 } \mathrm {~m} ^ { 2 }$ 
C)  $7 \frac { 2 } { 3 } \mathrm {~m} ^ { 2 }$ 
D)  $23 \mathrm {~m} ^ { 2 }$

Question 6

The two figures are congruent. Find the measure of the requested side or angle.
-$$\angle \mathrm { B } ^ { \prime } \mathrm { A } ^ { \prime } \mathrm { D } ^ { \prime }$$

Accepted Answer

A)  ${ }_{\angle B^{\prime}} \mathrm{A}^{\prime} \mathrm{D}^{\prime}=26.3^{\circ}$ 
B)  $\angle B^{\prime} A^{\prime} D^{\prime}=41^{\circ}$ 
C)  $\angle \mathrm{B}^{\prime} \mathrm{A}^{\prime} \mathrm{D}^{\prime}=63.7^{\circ}$ 
D) $\angle \mathrm{B}^{\prime} \mathrm{A}^{\prime} \mathrm{D}^{\prime}=49^{\circ}$ 
A)  ${ }_{\angle B^{\prime}} \mathrm{A}^{\prime} \mathrm{D}^{\prime}=26.3^{\circ}$ 
B)  $\angle B^{\prime} A^{\prime} D^{\prime}=41^{\circ}$ 
C)  $\angle \mathrm{B}^{\prime} \mathrm{A}^{\prime} \mathrm{D}^{\prime}=63.7^{\circ}$ 
D) $\angle \mathrm{B}^{\prime} \mathrm{A}^{\prime} \mathrm{D}^{\prime}=49^{\circ}$

Question 7

Classify the angle as acute, right, obtuse, or straight.
-

Accepted Answer

A)  Obtuse 
B)  Acute 
C)  Straight 
D)  Right 
A)  Obtuse 
B)  Acute 
C)  Straight 
D)  Right

Question 8

Find the requested angle.
-Supplement of 166°

Accepted Answer

A)  76° 
B)  332° 
C)  14° 
D)  194° 
A)  76° 
B)  332° 
C)  14° 
D)  194°

Question 9

Find the area.
-

Accepted Answer

A)  128 in2 
B)  $64 \mathrm { in } ^ { 2 }$ 
C)  $24 \mathrm { in } ^ { 2 }$ 
D)  $256 \mathrm { in } ^ { 2 }$ 
A)  128 in2 
B)  $64 \mathrm { in } ^ { 2 }$ 
C)  $24 \mathrm { in } ^ { 2 }$ 
D)  $256 \mathrm { in } ^ { 2 }$

Question 10

Solve the problem.
-Hye-Ran, who is 1.60 m tall, wishes to find the height of a tree with a shadow 30.06 m long. She Walks 21.65 m from the base of the tree along the shadow of the tree until her head is in a position Where the tip of her shadow exactly overlaps the end of the tree topʹs shadow. How tall is the tree? Round to the nearest hundredth.

Accepted Answer

A)  2.22 m 
B)  1.60 m 
C)  5.72 m 
D)  2.75 m 
A)  2.22 m 
B)  1.60 m 
C)  5.72 m 
D)  2.75 m

Question 11

Find the requested measurement. Use π ≈ 3.14 and round your answer to the nearest hundredth.
-Find the area.

Accepted Answer

A)  $102.02 \mathrm { mi } ^ { 2 }$ 
B)  $35.80 \mathrm { mi } ^ { 2 }$ 
C)  $25.50 \mathrm { mi } ^ { 2 }$ 
D)  $17.90 \mathrm { mi } ^ { 2 }$ 
A)  $102.02 \mathrm { mi } ^ { 2 }$ 
B)  $35.80 \mathrm { mi } ^ { 2 }$ 
C)  $25.50 \mathrm { mi } ^ { 2 }$ 
D)  $17.90 \mathrm { mi } ^ { 2 }$

Question 12

Identify the figure and denote it by its appropriate symbol.
-

Accepted Answer

A)  Line, $\overline { \mathrm { AB } }$ 
B)  Ray, $\overline { \mathrm { AB } }$ 
C)  Line Segment, $\overline { \mathrm { AB } }$ 
D)  Line Segment, $\overleftrightarrow { \mathrm { AB } }$ 
A)  Line, $\overline { \mathrm { AB } }$ 
B)  Ray, $\overline { \mathrm { AB } }$ 
C)  Line Segment, $\overline { \mathrm { AB } }$ 
D)  Line Segment, $\overleftrightarrow { \mathrm { AB } }$

Question 13

Solve the problem.
-Use $3.14$ for $\pi$.

Accepted Answer

A)  $2612.48 \mathrm { ft } ^ { 3 }$ 
B)  $163.28 \mathrm { ft } ^ { 3 }$ 
C)  $326.56 \mathrm { ft } ^ { 3 }$ 
D)  $653.12 \mathrm { ft } ^ { 3 }$ 
A)  $2612.48 \mathrm { ft } ^ { 3 }$ 
B)  $163.28 \mathrm { ft } ^ { 3 }$ 
C)  $326.56 \mathrm { ft } ^ { 3 }$ 
D)  $653.12 \mathrm { ft } ^ { 3 }$

Question 14

Classify the triangle as acute, right, or obtuse and as equilateral, isosceles, or scalene.
-

Accepted Answer

A)  Right, scalene 
B)  Obtuse, equilateral 
C)  Obtuse, scalene 
D)  Acute, equilateral 
A)  Right, scalene 
B)  Obtuse, equilateral 
C)  Obtuse, scalene 
D)  Acute, equilateral

Question 15

The two figures are congruent. Find the measure of the requested side or angle.
-$\angle \mathrm { ABC }$

Accepted Answer

A)  $\angle \mathrm { ABC } = 46 ^ { \circ }$ 
B)  $\angle \mathrm { ABC } = 118 ^ { \circ }$ 
C)  $\angle \mathrm { ABC } = 39 ^ { \circ }$ 
D)  $\angle \mathrm { ABC } = 23 ^ { \circ }$ 
A)  $\angle \mathrm { ABC } = 46 ^ { \circ }$ 
B)  $\angle \mathrm { ABC } = 118 ^ { \circ }$ 
C)  $\angle \mathrm { ABC } = 39 ^ { \circ }$ 
D)  $\angle \mathrm { ABC } = 23 ^ { \circ }$

Question 16

Solve the problem.
-∠1 and ∠2 are supplementary angles. What are the measures of the two angles?

Accepted Answer

A)  $\angle 1 = 18 ^ { \circ } , \angle 2 = 162 ^ { \circ }$ 
B)  $\angle 1 = 10 ^ { \circ } , \angle 2 = 81 ^ { \circ }$ 
C)  $\angle 1 = 20 ^ { \circ } , \angle 2 = 162 ^ { \circ }$ 
D)  $\angle 1 = 9 ^ { \circ } , \angle 2 = 81 ^ { \circ }$ 
A)  $\angle 1 = 18 ^ { \circ } , \angle 2 = 162 ^ { \circ }$ 
B)  $\angle 1 = 10 ^ { \circ } , \angle 2 = 81 ^ { \circ }$ 
C)  $\angle 1 = 20 ^ { \circ } , \angle 2 = 162 ^ { \circ }$ 
D)  $\angle 1 = 9 ^ { \circ } , \angle 2 = 81 ^ { \circ }$

Question 17

Solve the problem.
-∠1 and ∠2 are complementary angles. What are the measures of the two angles?

Accepted Answer

A)  $\angle 1 = 19 ^ { \circ } , \angle 2 = 71 ^ { \circ }$ 
B)  $\angle 1 = 22.5 ^ { \circ } , \angle 2 = 81.5 ^ { \circ }$ 
C)  $\angle 1 = 41.5 ^ { \circ } , \angle 2 = 138.5 ^ { \circ }$ 
D)  $\angle 1 = 26 ^ { \circ } , \angle 2 = 90 ^ { \circ }$ 
A)  $\angle 1 = 19 ^ { \circ } , \angle 2 = 71 ^ { \circ }$ 
B)  $\angle 1 = 22.5 ^ { \circ } , \angle 2 = 81.5 ^ { \circ }$ 
C)  $\angle 1 = 41.5 ^ { \circ } , \angle 2 = 138.5 ^ { \circ }$ 
D)  $\angle 1 = 26 ^ { \circ } , \angle 2 = 90 ^ { \circ }$

Question 18

Parallel lines are cut by the transversal shown. Determine the measures of the requested angles.
-In the figure, $\overline { \mathrm { AB } } \| \overline { \mathrm { CD } }$ and $\mathrm { m } \angle \mathrm { ABC } = 64 ^ { \circ }$. Determine the measures of angles $\angle \mathrm { ABE } , \angle \mathrm { FCD }$, and $\angle B C D$

Accepted Answer

A)  $\mathrm { m } \angle \mathrm { BCD } = \mathrm { m } \angle \mathrm { ABE } = 64 ^ { \circ } , \mathrm { m } \angle \mathrm { FCD } = 116 ^ { \circ }$ 
B)  $\mathrm { m } \angle \mathrm { BCD } = 64 ^ { \circ } , \mathrm { m } \angle \mathrm { ABE } = \mathrm { m } \angle \mathrm { FCD } = 116 ^ { \circ }$ 
C)  $m \angle B C D = m \angle A B E = m \angle F C D = 26 ^ { \circ }$ 
D)  $\mathrm { m } \angle \mathrm { BCD } = 64 ^ { \circ } , \mathrm { m } \angle \mathrm { ABE } = \mathrm { m } \angle \mathrm { FCD } = 26 ^ { \circ }$ 
A)  $\mathrm { m } \angle \mathrm { BCD } = \mathrm { m } \angle \mathrm { ABE } = 64 ^ { \circ } , \mathrm { m } \angle \mathrm { FCD } = 116 ^ { \circ }$ 
B)  $\mathrm { m } \angle \mathrm { BCD } = 64 ^ { \circ } , \mathrm { m } \angle \mathrm { ABE } = \mathrm { m } \angle \mathrm { FCD } = 116 ^ { \circ }$ 
C)  $m \angle B C D = m \angle A B E = m \angle F C D = 26 ^ { \circ }$ 
D)  $\mathrm { m } \angle \mathrm { BCD } = 64 ^ { \circ } , \mathrm { m } \angle \mathrm { ABE } = \mathrm { m } \angle \mathrm { FCD } = 26 ^ { \circ }$

Question 19

Find the perimeter of the polygon.
-

Accepted Answer

A)  $92 \mathrm {~m}$ 
B)  $33 \mathrm {~m}$ 
C)  $432 \mathrm {~m}$ 
D)  $49 \mathrm {~m}$ 
A)  $92 \mathrm {~m}$ 
B)  $33 \mathrm {~m}$ 
C)  $432 \mathrm {~m}$ 
D)  $49 \mathrm {~m}$

Question 20

Classify the polygon by name. If it is a quadrilateral, give its specific name.
-

Accepted Answer

A)  Rectangle 
B)  Square 
C)  Hexagon 
D)  Rhombus 
A)  Rectangle 
B)  Square 
C)  Hexagon 
D)  Rhombus

Find the measure of ∠x. -

The figures are similar. Find the length of the missing side indicated with an x or y. -

Find the perimeter of the polygon. -

Decide whether the statement is true or false. -Angles, like lines, can also be named with a single lower case letter.

Find the area. -

Classify the angle as acute, right, obtuse, or straight. -

Find the requested angle. -Supplement of 166°

Find the area. -

Find the requested measurement. Use π ≈ 3.14 and round your answer to the nearest hundredth. -Find the area.

Identify the figure and denote it by its appropriate symbol. -

Solve the problem. -Use $3.14$ for $\pi$ . $Solve the problem. -Use 3.14 for \pi .$

Classify the triangle as acute, right, or obtuse and as equilateral, isosceles, or scalene. -

The two figures are congruent. Find the measure of the requested side or angle. - $\angle \mathrm { ABC }$ $The two figures are congruent. Find the measure of the requested side or angle. - \angle \mathrm { ABC }$

Solve the problem. -∠1 and ∠2 are supplementary angles. What are the measures of the two angles?

Solve the problem. -∠1 and ∠2 are complementary angles. What are the measures of the two angles?

Find the perimeter of the polygon. -

Classify the polygon by name. If it is a quadrilateral, give its specific name. -

Critical Thinking Skills

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Logic

Systems of Numeration

Number Theory and the Real Number System

Algebra, Graphs, and Functions

Geometry

Consumer Mathematics

Probability

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Exam 8: The Metric System

Find the measure of ∠x. -

The figures are similar. Find the length of the missing side indicated with an x or y. -

Find the perimeter of the polygon. -

Decide whether the statement is true or false. -Angles, like lines, can also be named with a single lower case letter.

Find the area. -

The two figures are congruent. Find the measure of the requested side or angle. - ∠B′A′D′\angle \mathrm { B } ^ { \prime } \mathrm { A } ^ { \prime } \mathrm { D } ^ { \prime }∠B′A′D′

Classify the angle as acute, right, obtuse, or straight. -

Find the requested angle. -Supplement of 166°

Find the area. -

Find the requested measurement. Use π ≈ 3.14 and round your answer to the nearest hundredth. -Find the area.

Identify the figure and denote it by its appropriate symbol. -

Solve the problem. -Use 3.143.143.14 for π\piπ .

Classify the triangle as acute, right, or obtuse and as equilateral, isosceles, or scalene. -

The two figures are congruent. Find the measure of the requested side or angle. - ∠ABC\angle \mathrm { ABC }∠ABC

Solve the problem. -∠1 and ∠2 are supplementary angles. What are the measures of the two angles?

Solve the problem. -∠1 and ∠2 are complementary angles. What are the measures of the two angles?

Find the perimeter of the polygon. -

Classify the polygon by name. If it is a quadrilateral, give its specific name. -

Critical Thinking Skills

Sets

Logic

Systems of Numeration

Number Theory and the Real Number System

Algebra, Graphs, and Functions

Geometry

Consumer Mathematics

Probability

Voting and Apportionment

Filters

Solve the problem. -Use $3.14$ for $\pi$ . $Solve the problem. -Use 3.14 for \pi .$

The two figures are congruent. Find the measure of the requested side or angle. - $\angle \mathrm { ABC }$ $The two figures are congruent. Find the measure of the requested side or angle. - \angle \mathrm { ABC }$