Question 1

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

Accepted Answer

A)  $43.96 \mathrm {~cm} ^ { 2 }$ 
B)  $38.47 \mathrm {~cm} ^ { 2 }$ 
C)  $153.86 \mathrm {~cm} ^ { 2 }$ 
D)  $21.98 \mathrm {~cm} ^ { 2 }$ 
A)  $43.96 \mathrm {~cm} ^ { 2 }$ 
B)  $38.47 \mathrm {~cm} ^ { 2 }$ 
C)  $153.86 \mathrm {~cm} ^ { 2 }$ 
D)  $21.98 \mathrm {~cm} ^ { 2 }$

Question 2

Use the figure to find the following.
-$\angle \mathrm { EBF } \cap \angle \mathrm { ABF }$

Accepted Answer

A)  $\varnothing$ 
B)  $\overline { \mathrm { BF } }$ 
C)  $\overrightarrow { \mathrm { BF } }$ 
D)  $\angle \mathrm { ABE }$ 
A)  $\varnothing$ 
B)  $\overline { \mathrm { BF } }$ 
C)  $\overrightarrow { \mathrm { BF } }$ 
D)  $\angle \mathrm { ABE }$

Question 3

Solve the problem.
-Pedro canʹt decide which size pizza to order. The 10-inch cheese and sausage pizza is $10.99, While the 12-inch deluxe is $11.99. If he gets the 10-inch pizza, the total price will be divided Among 3 people. If he chooses the 12-inch pizza, then the total price will be divided among 4 People. Which is the better buy? How much will each person pay? (Use 3.14 for π.)

Accepted Answer

A)  12-inch pizza; $3.00 
B)  12-inch pizza; $3.66 
C)  10-inch pizza; $3.00 
D)  10-inch pizza; $3.66 
A)  12-inch pizza; $3.00 
B)  12-inch pizza; $3.66 
C)  10-inch pizza; $3.00 
D)  10-inch pizza; $3.66

Question 4

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

Accepted Answer

A)  $\overline { \mathrm { A } ^ { \prime } \mathrm { C } ^ { \prime } } = 12$ 
B)  $\overline { \mathrm { A } ^ { \prime } \mathrm { C } ^ { \prime } } = 21$ 
C)  $\overline { \mathrm { A } ^ { \prime } \mathrm { C } ^ { \prime } } = 15$ 
D)  $\overline { \mathrm { A } ^ { \prime } \mathrm { C } ^ { \prime } } = 6$ 
A)  $\overline { \mathrm { A } ^ { \prime } \mathrm { C } ^ { \prime } } = 12$ 
B)  $\overline { \mathrm { A } ^ { \prime } \mathrm { C } ^ { \prime } } = 21$ 
C)  $\overline { \mathrm { A } ^ { \prime } \mathrm { C } ^ { \prime } } = 15$ 
D)  $\overline { \mathrm { A } ^ { \prime } \mathrm { C } ^ { \prime } } = 6$

Question 5

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

Accepted Answer

A)  $x = 7 ; y = 13$ 
B)  $x = 10 ; y = 14$ 
C)  $x = 22.5 ; y = 31.5$ 
D)  $x = 12 ; y = 16$ 
A)  $x = 7 ; y = 13$ 
B)  $x = 10 ; y = 14$ 
C)  $x = 22.5 ; y = 31.5$ 
D)  $x = 12 ; y = 16$

Question 6

Solve the problem.
-

Accepted Answer

A)  $256 \mathrm { ft } ^ { 3 }$ 
B)  $3072 \mathrm { ft } ^ { 3 }$ 
C)  $48 \mathrm { ft } ^ { 3 }$ 
D)  $2048 \mathrm { ft } ^ { 3 }$ 
A)  $256 \mathrm { ft } ^ { 3 }$ 
B)  $3072 \mathrm { ft } ^ { 3 }$ 
C)  $48 \mathrm { ft } ^ { 3 }$ 
D)  $2048 \mathrm { ft } ^ { 3 }$

Question 7

Solve the problem.
-The difference between two complementary angles is 38°. What is the measure of the larger angle?

Accepted Answer

A)  64° 
B)  26° 
C)  109° 
D)  52° 
A)  64° 
B)  26° 
C)  109° 
D)  52°

Question 8

Solve the problem.
-

Accepted Answer

A)  $699.84 \mathrm { yd } ^ { 3 }$ 
B)  $4199.04 \mathrm { yd } ^ { 3 }$ 
C)  $2099.52 \mathrm { yd } ^ { 3 }$ 
D)  $1399.68 \mathrm { yd } ^ { 3 }$ 
A)  $699.84 \mathrm { yd } ^ { 3 }$ 
B)  $4199.04 \mathrm { yd } ^ { 3 }$ 
C)  $2099.52 \mathrm { yd } ^ { 3 }$ 
D)  $1399.68 \mathrm { yd } ^ { 3 }$

Question 9

Decide whether the statement is true or false.
-Parallel lines lie in the same plane.

Accepted Answer

A) True 
 B)False

Question 10

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

Accepted Answer

A)  Line, $\overleftrightarrow { \mathrm { AB } }$ 
B)  Line Segment, $\overline { \mathrm { AB } }$ 
C)  Half Line, $\stackrel { \circ \longrightarrow } { \mathrm { AB } }$ 
D)  Ray, $\overrightarrow { \mathrm { AB } }$ 
A)  Line, $\overleftrightarrow { \mathrm { AB } }$ 
B)  Line Segment, $\overline { \mathrm { AB } }$ 
C)  Half Line, $\stackrel { \circ \longrightarrow } { \mathrm { AB } }$ 
D)  Ray, $\overrightarrow { \mathrm { AB } }$

Question 11

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

Accepted Answer

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

Question 12

Find the measure of ∠x.
-

Accepted Answer

A)  218° 
B)  96° 
C)  142° 
D)  Not enough information to solve 
A)  218° 
B)  96° 
C)  142° 
D)  Not enough information to solve

Question 13

Find the area.
-

Accepted Answer

A)  $261 \mathrm {~m} ^ { 2 }$ 
B)  $130.5 \mathrm {~m} ^ { 2 }$ 
C)  $195 \mathrm {~m} ^ { 2 }$ 
D)  $918 \mathrm {~m} ^ { 2 }$ 
A)  $261 \mathrm {~m} ^ { 2 }$ 
B)  $130.5 \mathrm {~m} ^ { 2 }$ 
C)  $195 \mathrm {~m} ^ { 2 }$ 
D)  $918 \mathrm {~m} ^ { 2 }$

Question 14

Parallel lines are cut by the transversal shown. Determine the measures of the requested angles.
-If m∠6 = 115°, determine the measures of the other angles.

Accepted Answer

A)  $\mathrm { m } \angle 5 = \mathrm { m } \angle 7 = \mathrm { m } \angle 8 = 115 ^ { \circ } , \mathrm { m } \angle 1 = \mathrm { m } \angle 2 = \mathrm { m } \angle 3 = \mathrm { m } \angle 4 = 65 ^ { \circ }$ 
B)  $\mathrm { m } \angle 2 = \mathrm { m } \angle 4 = \mathrm { m } \angle 8 = 115 ^ { \circ } , \mathrm { m } \angle 1 = \mathrm { m } \angle 3 = \mathrm { m } \angle 5 = \mathrm { m } \angle 7 = 65 ^ { \circ }$ 
C)  $\mathrm { m } \angle 2 = \mathrm { m } \angle 4 = \mathrm { m } \angle 8 = 115 ^ { \circ } , \mathrm { m } \angle 1 = \mathrm { m } \angle 3 = \mathrm { m } \angle 5 = \mathrm { m } \angle 7 = 75 ^ { \circ }$ 
D)  $\mathrm { m } \angle 2 = \mathrm { m } \angle 4 = \mathrm { m } \angle 8 = 115 ^ { \circ } , \mathrm { m } \angle 1 = \mathrm { m } \angle 3 = \mathrm { m } \angle 5 = \mathrm { m } \angle 7 = 25 ^ { \circ }$ 
A)  $\mathrm { m } \angle 5 = \mathrm { m } \angle 7 = \mathrm { m } \angle 8 = 115 ^ { \circ } , \mathrm { m } \angle 1 = \mathrm { m } \angle 2 = \mathrm { m } \angle 3 = \mathrm { m } \angle 4 = 65 ^ { \circ }$ 
B)  $\mathrm { m } \angle 2 = \mathrm { m } \angle 4 = \mathrm { m } \angle 8 = 115 ^ { \circ } , \mathrm { m } \angle 1 = \mathrm { m } \angle 3 = \mathrm { m } \angle 5 = \mathrm { m } \angle 7 = 65 ^ { \circ }$ 
C)  $\mathrm { m } \angle 2 = \mathrm { m } \angle 4 = \mathrm { m } \angle 8 = 115 ^ { \circ } , \mathrm { m } \angle 1 = \mathrm { m } \angle 3 = \mathrm { m } \angle 5 = \mathrm { m } \angle 7 = 75 ^ { \circ }$ 
D)  $\mathrm { m } \angle 2 = \mathrm { m } \angle 4 = \mathrm { m } \angle 8 = 115 ^ { \circ } , \mathrm { m } \angle 1 = \mathrm { m } \angle 3 = \mathrm { m } \angle 5 = \mathrm { m } \angle 7 = 25 ^ { \circ }$

Question 15

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

Accepted Answer

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

Question 16

Find the area.
-

Accepted Answer

A)  $207 \mathrm {~cm} ^ { 2 }$ 
B)  $240 \mathrm {~cm} ^ { 2 }$ 
C)  $47 \mathrm {~cm} ^ { 2 }$ 
D)  $345 \mathrm {~cm} ^ { 2 }$ 
A)  $207 \mathrm {~cm} ^ { 2 }$ 
B)  $240 \mathrm {~cm} ^ { 2 }$ 
C)  $47 \mathrm {~cm} ^ { 2 }$ 
D)  $345 \mathrm {~cm} ^ { 2 }$

Question 17

Find the requested angle.
-Complement of 73°

Accepted Answer

A)  287° 
B)  146° 
C)  107° 
D)  17° 
A)  287° 
B)  146° 
C)  107° 
D)  17°

Question 18

Find the requested angle.
-Supplement of 6.1°

Accepted Answer

A)  173.9° 
B)  353.9° 
C)  128.9° 
D)  83.9° 
A)  173.9° 
B)  353.9° 
C)  128.9° 
D)  83.9°

Question 19

Use the figure to find the following.
-$\overline { \mathrm { DH } } \cap \overline { \mathrm { EG } }$

Accepted Answer

A)  $\overleftrightarrow { \mathrm { DG } }$ 
B)  $\overline { \mathrm { EH } }$ 
C)  $\overleftrightarrow { \mathrm { EH } }$ 
D)  $\overline { \mathrm { DG } }$ 
A)  $\overleftrightarrow { \mathrm { DG } }$ 
B)  $\overline { \mathrm { EH } }$ 
C)  $\overleftrightarrow { \mathrm { EH } }$ 
D)  $\overline { \mathrm { DG } }$

Question 20

Parallel lines are cut by the transversal shown. Determine the measures of the requested angles.
-If $\mathrm { m } \angle 8 = 59 ^ { \circ }$, determine the measures of the other angles.

Accepted Answer

A)  $\mathrm { m } \angle 5 = \mathrm { m } \angle 6 = \mathrm { m } \angle 7 = 59 ^ { \circ } , \mathrm { m } \angle 1 = \mathrm { m } \angle 2 = \mathrm { m } \angle 3 = \mathrm { m } \angle 4 = 121 ^ { \circ }$ 
B)  $\mathrm { m } \angle 2 = \mathrm { m } \angle 4 = \mathrm { m } \angle 6 = 59 ^ { \circ } , \mathrm { m } \angle 1 = \mathrm { m } \angle 3 = \mathrm { m } \angle 5 = \mathrm { m } \angle 7 = 31 ^ { \circ }$ 
C)  $\mathrm { m } \angle 2 = \mathrm { m } \angle 4 = \mathrm { m } \angle 6 = 59 ^ { \circ } , \mathrm { m } \angle 1 = \mathrm { m } \angle 3 = \mathrm { m } \angle 5 = \mathrm { m } \angle 7 = 121 ^ { \circ }$ 
D)  $\mathrm { m } \angle 2 = \mathrm { m } \angle 4 = \mathrm { m } \angle 6 = 59 ^ { \circ } , \mathrm { m } \angle 1 = \mathrm { m } \angle 3 = \mathrm { m } \angle 5 = \mathrm { m } \angle 7 = 131 ^ { \circ }$ 
A)  $\mathrm { m } \angle 5 = \mathrm { m } \angle 6 = \mathrm { m } \angle 7 = 59 ^ { \circ } , \mathrm { m } \angle 1 = \mathrm { m } \angle 2 = \mathrm { m } \angle 3 = \mathrm { m } \angle 4 = 121 ^ { \circ }$ 
B)  $\mathrm { m } \angle 2 = \mathrm { m } \angle 4 = \mathrm { m } \angle 6 = 59 ^ { \circ } , \mathrm { m } \angle 1 = \mathrm { m } \angle 3 = \mathrm { m } \angle 5 = \mathrm { m } \angle 7 = 31 ^ { \circ }$ 
C)  $\mathrm { m } \angle 2 = \mathrm { m } \angle 4 = \mathrm { m } \angle 6 = 59 ^ { \circ } , \mathrm { m } \angle 1 = \mathrm { m } \angle 3 = \mathrm { m } \angle 5 = \mathrm { m } \angle 7 = 121 ^ { \circ }$ 
D)  $\mathrm { m } \angle 2 = \mathrm { m } \angle 4 = \mathrm { m } \angle 6 = 59 ^ { \circ } , \mathrm { m } \angle 1 = \mathrm { m } \angle 3 = \mathrm { m } \angle 5 = \mathrm { m } \angle 7 = 131 ^ { \circ }$

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

Use the figure to find the following. - $\angle \mathrm { EBF } \cap \angle \mathrm { ABF }$ $Use the figure to find the following. - \angle \mathrm { EBF } \cap \angle \mathrm { ABF }$

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

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

Solve the problem. -

Solve the problem. -The difference between two complementary angles is 38°. What is the measure of the larger angle?

Solve the problem. -

Decide whether the statement is true or false. -Parallel lines lie in the same plane.

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

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

Find the measure of ∠x. -

Find the area. -

Parallel lines are cut by the transversal shown. Determine the measures of the requested angles. -If m∠6 = 115°, determine the measures of the other angles.

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

Find the area. -

Find the requested angle. -Complement of 73°

Find the requested angle. -Supplement of 6.1°

Use the figure to find the following. - $\overline { \mathrm { DH } } \cap \overline { \mathrm { EG } }$ $Use the figure to find the following. - \overline { \mathrm { DH } } \cap \overline { \mathrm { EG } }$

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

Exam 8: The Metric System

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

Use the figure to find the following. - ∠EBF∩∠ABF\angle \mathrm { EBF } \cap \angle \mathrm { ABF }∠EBF∩∠ABF

The two figures are congruent. Find the measure of the requested side or angle. - A′C′‾\overline{\mathrm{A}^{\prime} \mathrm{C}^{\prime}}A′C′

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

Solve the problem. -

Solve the problem. -The difference between two complementary angles is 38°. What is the measure of the larger angle?

Solve the problem. -

Decide whether the statement is true or false. -Parallel lines lie in the same plane.

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

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

Find the measure of ∠x. -

Find the area. -

Parallel lines are cut by the transversal shown. Determine the measures of the requested angles. -If m∠6 = 115°, determine the measures of the other angles.

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

Find the area. -

Find the requested angle. -Complement of 73°

Find the requested angle. -Supplement of 6.1°

Use the figure to find the following. - DH‾∩EG‾\overline { \mathrm { DH } } \cap \overline { \mathrm { EG } }DH∩EG

Parallel lines are cut by the transversal shown. Determine the measures of the requested angles. -If m∠8=59∘\mathrm { m } \angle 8 = 59 ^ { \circ }m∠8=59∘ , determine the measures of the other angles.

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

Use the figure to find the following. - $\angle \mathrm { EBF } \cap \angle \mathrm { ABF }$ $Use the figure to find the following. - \angle \mathrm { EBF } \cap \angle \mathrm { ABF }$

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

Use the figure to find the following. - $\overline { \mathrm { DH } } \cap \overline { \mathrm { EG } }$ $Use the figure to find the following. - \overline { \mathrm { DH } } \cap \overline { \mathrm { EG } }$