Question 1

Identify the curve as simple, closed, both, or neither.
-

Accepted Answer

A)  Neither 
B)  Closed 
C)  Simple 
D)  Both 
A)  Neither 
B)  Closed 
C)  Simple 
D)  Both

Question 2

Solve the problem.
-On a cloudy day, Emanuel needed to know the height of a window in a building. Emanuel positioned a mirror on the ground between himself and the building so that when he looked in the
Mirror, he saw the window. If the mirror was 22.85 cm from his feet and 35.33 m from the base of
The building and Emanuel's eye was 2 m above the ground, how high up on the building was the
Window located? Round to the nearest unit.

Accepted Answer

A) 309 m 
B) 129 m 
C) 1 m 
D) 3 m 
A) 309 m 
B) 129 m 
C) 1 m 
D) 3 m

Question 3

Decide whether the figure is convex or not convex.
-

Accepted Answer

A)  Convex 
B)  Not convex 
A)  Convex 
B)  Not convex

Question 4

a and b represent the two legs of a right triangle, while c represents the hypotenuse. Find the length of the unknown side.
-a = 28 ft, c = 100 ft

Accepted Answer

A) b = 95 ft 
B) b = 97 ft 
C) b = 28 ft 
D) b = 96 ft 
A) b = 95 ft 
B) b = 97 ft 
C) b = 28 ft 
D) b = 96 ft

Question 5

a and b represent the two legs of a right triangle, while c represents the hypotenuse. Find the length of the unknown side.
-$\mathrm { b } = 20 \mathrm {~cm} , \mathrm { c } = 52 \mathrm {~cm}$

Accepted Answer

A)  $\mathrm { a } = 56 \mathrm {~cm}$ 
B)  $a = 48 \mathrm {~cm}$ 
C)  $a = 36 \mathrm {~cm}$ 
D)  $\mathrm { a } = 49 \mathrm {~cm}$ 
A)  $\mathrm { a } = 56 \mathrm {~cm}$ 
B)  $a = 48 \mathrm {~cm}$ 
C)  $a = 36 \mathrm {~cm}$ 
D)  $\mathrm { a } = 49 \mathrm {~cm}$

Question 6

Find the area.
-

(a parallelogram)

Accepted Answer

A)  $12 \mathrm { in } ^ { 2 }$ 
B)  $64 \mathrm { in } ^ { 2 }$ 
C)  $16 \mathrm { in } ^ { 2 }$ 
D)  $32 \mathrm { in } ^ { 2 }$ 
A)  $12 \mathrm { in } ^ { 2 }$ 
B)  $64 \mathrm { in } ^ { 2 }$ 
C)  $16 \mathrm { in } ^ { 2 }$ 
D)  $32 \mathrm { in } ^ { 2 }$

Question 7

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

Accepted Answer

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

Question 8

Solve the problem.
-Imagine that you are a carpenter building the floor of a rectangular room. What must the diagonal of the room measure if your floor is to be squared off properly given that the dimensions of the
Room are 11 ft by 19 ft? Give your answer to the nearest inch.

Accepted Answer

A) 21 ft, 242 in. 
B) 23 ft, 241 in. 
C) 22 ft, 241 in. 
D) 22 ft, 242 in. 
A) 21 ft, 242 in. 
B) 23 ft, 241 in. 
C) 22 ft, 241 in. 
D) 22 ft, 242 in.

Question 9

Based on the figure, specify the given set in a simpler way.
-

Accepted Answer

A)  $\varnothing$ 
B)  $\mathrm { A }$ 
C)    
D)    
A)  $\varnothing$ 
B)  $\mathrm { A }$ 
C)    
D)

Question 10

Decide whether the statement is true or false.
-A square is a rectangle.

Accepted Answer

A) True 
 B)False

Question 11

Based on the figure, specify the given set in a simpler way.
-

Accepted Answer

A)   
B)    
C)  B 
D)   
A)   
B)    
C)  B 
D)

Question 12

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

Accepted Answer

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

Question 13

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

Accepted Answer

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

Question 14

Use the properties of parallel lines to solve the problem.
-If $\mathrm { m } \| \mathrm { n }$ and $\mathrm { m } \angle 6 = 119 ^ { \circ }$, what are the measures of the other angles?

Accepted Answer

A)  $\mathrm { m } \angle 2 = \mathrm { m } \angle 4 = \mathrm { m } \angle 8 = 119 ^ { \circ } , \mathrm { m } \angle 1 = \mathrm { m } \angle 3 = \mathrm { m } \angle 5 = \mathrm { m } \angle 7 = 29 ^ { \circ }$ 
B)  $\mathrm { m } \angle 2 = \mathrm { m } \angle 4 = \mathrm { m } \angle 8 = 119 ^ { \circ } , \mathrm { m } \angle 1 = \mathrm { m } \angle 3 = \mathrm { m } \angle 5 = \mathrm { m } \angle 7 = 71 ^ { \circ }$ 
C)  $\mathrm { m } \angle 5 = \mathrm { m } \angle 7 = \mathrm { m } \angle 8 = 119 ^ { \circ } , \mathrm { m } \angle 1 = \mathrm { m } \angle 2 = \mathrm { m } \angle 3 = \mathrm { m } \angle 4 = 61 ^ { \circ }$ 
D)  $\mathrm { m } \angle 2 = \mathrm { m } \angle 4 = \mathrm { m } \angle 8 = 119 ^ { \circ } , \mathrm { m } \angle 1 = \mathrm { m } \angle 3 = \mathrm { m } \angle 5 = \mathrm { m } \angle 7 = 61 ^ { \circ }$ 
A)  $\mathrm { m } \angle 2 = \mathrm { m } \angle 4 = \mathrm { m } \angle 8 = 119 ^ { \circ } , \mathrm { m } \angle 1 = \mathrm { m } \angle 3 = \mathrm { m } \angle 5 = \mathrm { m } \angle 7 = 29 ^ { \circ }$ 
B)  $\mathrm { m } \angle 2 = \mathrm { m } \angle 4 = \mathrm { m } \angle 8 = 119 ^ { \circ } , \mathrm { m } \angle 1 = \mathrm { m } \angle 3 = \mathrm { m } \angle 5 = \mathrm { m } \angle 7 = 71 ^ { \circ }$ 
C)  $\mathrm { m } \angle 5 = \mathrm { m } \angle 7 = \mathrm { m } \angle 8 = 119 ^ { \circ } , \mathrm { m } \angle 1 = \mathrm { m } \angle 2 = \mathrm { m } \angle 3 = \mathrm { m } \angle 4 = 61 ^ { \circ }$ 
D)  $\mathrm { m } \angle 2 = \mathrm { m } \angle 4 = \mathrm { m } \angle 8 = 119 ^ { \circ } , \mathrm { m } \angle 1 = \mathrm { m } \angle 3 = \mathrm { m } \angle 5 = \mathrm { m } \angle 7 = 61 ^ { \circ }$

Question 15

Solve the problem.
-In triangle ABC, angles A and B have the same measure, while the measure of angle C is 135° larger than each of A and B. What are the measures of the three angles?

Accepted Answer

A) A and B: 15°; C: 150° 
B) A and C: 130°; B: 25° 
C) A and B: 150°; C: 15° 
D) A and B: 25°; C: 130° 
A) A and B: 15°; C: 150° 
B) A and C: 130°; B: 25° 
C) A and B: 150°; C: 15° 
D) A and B: 25°; C: 130°

Question 16

Find the area.
-A parallelogram with a base of 33 ft and a height of 16 ft

Accepted Answer

A)  $256 \mathrm { ft } ^ { 2 }$ 
B)  $526 \mathrm { ft } ^ { 2 }$ 
C)  $528 \mathrm { ft } ^ { 2 }$ 
D)  $1089 \mathrm { ft } ^ { 2 }$ 
A)  $256 \mathrm { ft } ^ { 2 }$ 
B)  $526 \mathrm { ft } ^ { 2 }$ 
C)  $528 \mathrm { ft } ^ { 2 }$ 
D)  $1089 \mathrm { ft } ^ { 2 }$

Question 17

Solve the problem.
-To find the height of this tree, Juanita marked the tree at eye level, 1.8 meters above the ground. She measured 33 m from the base of the tree and then held a 5-cm ruler vertically in front of her Eye until the ruler just obscured the tree above the mark. Using a string tied through a hole in one End of the ruler, Juanita found that the distance from her eye to the ruler was 4.9 centimeters. What Was the height of the tree? Round to the nearest unit.

Accepted Answer

A)  $35 \mathrm {~m}$ 
B)  $30 \mathrm {~m}$ 
C)  $34 \mathrm {~m}$ 
D)  $40 \mathrm {~m}$ 
A)  $35 \mathrm {~m}$ 
B)  $30 \mathrm {~m}$ 
C)  $34 \mathrm {~m}$ 
D)  $40 \mathrm {~m}$

Question 18

Solve the problem.
-A tree casts a shadow 18 m long. At the same time, the shadow cast by a 51-cm tall statue is 56 cm long. Find the height of the tree. Round results to the nearest unit.

Accepted Answer

A) 16 m 
B) 18 m 
C) 20 m 
D) 15 m 
A) 16 m 
B) 18 m 
C) 20 m 
D) 15 m

Question 19

Identify the curve as simple, closed, both, or neither.
-

Accepted Answer

A)  Closed 
B)  Neither 
C)  Both 
D)  Simple 
A)  Closed 
B)  Neither 
C)  Both 
D)  Simple

Question 20

Match the symbol with the answer choice that names the same set of points based on the given figure.
-

Accepted Answer

A)    
B)   
C)    
D)  None of these 
A)    
B)   
C)    
D)  None of these

Identify the curve as simple, closed, both, or neither. -

Decide whether the figure is convex or not convex. -

a and b represent the two legs of a right triangle, while c represents the hypotenuse. Find the length of the unknown side. -a = 28 ft, c = 100 ft

a and b represent the two legs of a right triangle, while c represents the hypotenuse. Find the length of the unknown side. - $\mathrm { b } = 20 \mathrm {~cm} , \mathrm { c } = 52 \mathrm {~cm}$

Find the area. - (a parallelogram)

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

Solve the problem. -Imagine that you are a carpenter building the floor of a rectangular room. What must the diagonal of the room measure if your floor is to be squared off properly given that the dimensions of the Room are 11 ft by 19 ft? Give your answer to the nearest inch.

Based on the figure, specify the given set in a simpler way. -

Decide whether the statement is true or false. -A square is a rectangle.

Based on the figure, specify the given set in a simpler way. -

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

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

Solve the problem. -In triangle ABC, angles A and B have the same measure, while the measure of angle C is 135° larger than each of A and B. What are the measures of the three angles?

Find the area. -A parallelogram with a base of 33 ft and a height of 16 ft

Solve the problem. -A tree casts a shadow 18 m long. At the same time, the shadow cast by a 51-cm tall statue is 56 cm long. Find the height of the tree. Round results to the nearest unit.

Identify the curve as simple, closed, both, or neither. -

Match the symbol with the answer choice that names the same set of points based on the given figure. -

The Art of Problem Solving

The Basic Concepts of Set Theory

Introduction to Logic

Numeration Systems

Number Theory

The Real Numbers and Their Representations

The Basic Concepts of Algebra

Graphs, Functions, and Systems of Equations and Inequalities

Counting Methods

Probability

Statistics

Personal Financial Management

Trigonometry Formerly

Graph Theory

Voting and Apportionment

Filters

Exam 9: Geometry

Identify the curve as simple, closed, both, or neither. -

Decide whether the figure is convex or not convex. -

a and b represent the two legs of a right triangle, while c represents the hypotenuse. Find the length of the unknown side. -a = 28 ft, c = 100 ft

a and b represent the two legs of a right triangle, while c represents the hypotenuse. Find the length of the unknown side. - b=20 cm,c=52 cm\mathrm { b } = 20 \mathrm {~cm} , \mathrm { c } = 52 \mathrm {~cm}b=20 cm,c=52 cm

Find the area. - (a parallelogram)

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

Solve the problem. -Imagine that you are a carpenter building the floor of a rectangular room. What must the diagonal of the room measure if your floor is to be squared off properly given that the dimensions of the Room are 11 ft by 19 ft? Give your answer to the nearest inch.

Based on the figure, specify the given set in a simpler way. -

Decide whether the statement is true or false. -A square is a rectangle.

Based on the figure, specify the given set in a simpler way. -

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

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

Use the properties of parallel lines to solve the problem. -If m∥n\mathrm { m } \| \mathrm { n }m∥n and m∠6=119∘\mathrm { m } \angle 6 = 119 ^ { \circ }m∠6=119∘ , what are the measures of the other angles?

Solve the problem. -In triangle ABC, angles A and B have the same measure, while the measure of angle C is 135° larger than each of A and B. What are the measures of the three angles?

Find the area. -A parallelogram with a base of 33 ft and a height of 16 ft

Solve the problem. -A tree casts a shadow 18 m long. At the same time, the shadow cast by a 51-cm tall statue is 56 cm long. Find the height of the tree. Round results to the nearest unit.

Identify the curve as simple, closed, both, or neither. -

Match the symbol with the answer choice that names the same set of points based on the given figure. -

The Art of Problem Solving

The Basic Concepts of Set Theory

Introduction to Logic

Numeration Systems

Number Theory

The Real Numbers and Their Representations

The Basic Concepts of Algebra

Graphs, Functions, and Systems of Equations and Inequalities

Counting Methods

Probability

Statistics

Personal Financial Management

Trigonometry Formerly

Graph Theory

Voting and Apportionment

Filters

a and b represent the two legs of a right triangle, while c represents the hypotenuse. Find the length of the unknown side. - $\mathrm { b } = 20 \mathrm {~cm} , \mathrm { c } = 52 \mathrm {~cm}$