Question 1

Name the figure below. ​   ​

Accepted Answer

A)  triangular prism 
B)  octagonal prism 
C)  right cylinder 
D)  rectangular prism 
E)  cube 
A)  triangular prism 
B)  octagonal prism 
C)  right cylinder 
D)  rectangular prism 
E)  cube B

Question 2

Approximate the measure of the following angle. ​   ​

Accepted Answer

A)  240° 
B)  45° 
C)  30° 
D)  120° 
E)  215° 
A)  240° 
B)  45° 
C)  30° 
D)  120° 
E)  215° A

Question 3

Refer to the cube pictured below, and use symbols such as   to name the following: Two parallel line segments. ​   ​

Accepted Answer

A)  CB and GF 
B)  CB and CE 
C)  ​ CB and GH 
D)  GH and GF 
E)  CE and GF 
A)  CB and GF 
B)  CB and CE 
C)  ​ CB and GH 
D)  GH and GF 
E)  CE and GF A

Question 4

Choose the description that matches the following shape. ​   ​

Accepted Answer

A)  a concave pentagon having three collinear vertices 
B)  a nonsimple closed curve 
C)  a curve that is simple and closed but not convex 
D)  a concave equilateral hexagon 
E)  an isosceles trapezoid 
A)  a concave pentagon having three collinear vertices 
B)  a nonsimple closed curve 
C)  a curve that is simple and closed but not convex 
D)  a concave equilateral hexagon 
E)  an isosceles trapezoid

Question 5

Which ray cannot be formed from the three points below? ​   ​

Accepted Answer

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

Question 6

Determine the number of vertices, edges, and faces of the following shape.

Accepted Answer

A)  4 vertices; 7 edges; 3 faces 
B)  5 vertices; 8 edges; 5 faces 
C)  5 vertices; 10 edges; 5 faces 
D)  4 vertices; 11 edges; 6 faces 
E)  6 vertices; 10 edges; 4 faces 
A)  4 vertices; 7 edges; 3 faces 
B)  5 vertices; 8 edges; 5 faces 
C)  5 vertices; 10 edges; 5 faces 
D)  4 vertices; 11 edges; 6 faces 
E)  6 vertices; 10 edges; 4 faces

Question 7

The coordinates of the endpoints of the hypotenuse of a right triangle are (6, 5) and (4, 3). Find the other vertex. There are two possible solutions. ​

Accepted Answer

A)  (6, 3) or (4, 5) 
B)  (3, 6) or (6, 4) 
C)  (5, 3) or (6, 4) 
D)  (6, 4) or (5, 4) 
E)  (5, 4) or (3, 6) 
A)  (6, 3) or (4, 5) 
B)  (3, 6) or (6, 4) 
C)  (5, 3) or (6, 4) 
D)  (6, 4) or (5, 4) 
E)  (5, 4) or (3, 6)

Question 8

How many different rectangles can you find in the design? ​   ​

Accepted Answer

A)  12 
B)  6 
C)  10 
D)  8 
E)  14 
A)  12 
B)  6 
C)  10 
D)  8 
E)  14

Question 9

Three vertices of a rectangle are ( -3 , -2 ), ( 1 , -2 ), and ( 1 , -5 ). What is the other vertex? ​

Accepted Answer

A)  ( 1 , -6 ) 
B)  ( -3 , -5 ) 
C)  ( -7 , -2 ) 
D)  ( -3 , -6 ) 
E)  ( 1 , 1 ) 
A)  ( 1 , -6 ) 
B)  ( -3 , -5 ) 
C)  ( -7 , -2 ) 
D)  ( -3 , -6 ) 
E)  ( 1 , 1 )

Question 10

Three vertices of a kite are (1,8), (1,0), and ( 5 ,6). What is the fourth vertex? ​

Accepted Answer

A)  (1, -3 ) 
B)  (1, 5 ) 
C)  ( -3 ,6) 
D)  ( 5 , 4) 
E)  ( -4 ,6) 
A)  (1, -3 ) 
B)  (1, 5 ) 
C)  ( -3 ,6) 
D)  ( 5 , 4) 
E)  ( -4 ,6)

Question 11

For the figure below, write "polygon" or "not a polygon." If it is a polygon, also write "convex" or "concave." ​   ​

Accepted Answer

A)  concave polygon 
B)  convex polygon 
C)  not a polygon 
A)  concave polygon 
B)  convex polygon 
C)  not a polygon

Question 12

How many diagonals can be drawn in an a hexagon ? ​

Accepted Answer

A)  12 
B)  11 
C)  14 
D)  8 
E)  9 
A)  12 
B)  11 
C)  14 
D)  8 
E)  9

Question 13

How many diagonals does a prism have whose base is a regular polygon with 3 sides? ​

Accepted Answer

A)  30 
B)  9 
C)  6 
D)  14 
E)  3 
A)  30 
B)  9 
C)  6 
D)  14 
E)  3

Question 14

Determine the coordinates at point P in the following square if the bottom left hand corner is at the origin, and the length of each side of the square is 20 . ​   ​

Accepted Answer

A)  ( 15 , 15 ) 
B)  ( 15 , 20 ) 
C)  ( 20 , 20 ) 
D)  ( 5 , 5 ) 
E)  ( 10 , 5 ) 
A)  ( 15 , 15 ) 
B)  ( 15 , 20 ) 
C)  ( 20 , 20 ) 
D)  ( 5 , 5 ) 
E)  ( 10 , 5 )

Question 15

Find the midpoint of the line segment connecting these two points. ​ ( -4 , 1 ) and ( 9 , 5 ) ​

Accepted Answer

A)  ( 3.0 , 2.5 ) 
B)  ( 2.5 , 3.0 ) 
C)  ( 0.5 , 5.0 ) 
D)  ( 5.0 , 0.5 ) 
E)  ( -1.5 , 7.0 ) 
A)  ( 3.0 , 2.5 ) 
B)  ( 2.5 , 3.0 ) 
C)  ( 0.5 , 5.0 ) 
D)  ( 5.0 , 0.5 ) 
E)  ( -1.5 , 7.0 )

Question 16

On a clock, what angle does the minute hand make with hour hand at 12:28? Assume that the hour hand stays in the "12" position. ​

Accepted Answer

A)  84° 
B)  280 ° 
C)  168 ° 
D)  28 ° 
E)  336 ° 
A)  84° 
B)  280 ° 
C)  168 ° 
D)  28 ° 
E)  336 °

Question 17

In the figure below   and   are perpendicular lines. Name two supplementary angles. ​   ​

Accepted Answer

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

Question 18

Describe the relationship between the numbers of faces of a 14-gon prism and of a 14-gon pyramid. ​

Accepted Answer

A)  A 14-gon prism has 1 more face than a 14-gon pyramid. 
B)  A 14-gon prism has 28 more faces than a 14-gon pyramid. 
C)  A 14-gon prism has 12 more faces than a 14-gon pyramid. 
D)  A 14-gon prism has 15 more faces than a 14-gon pyramid. 
E)  A 14-gon prism has 14 less faces than a 14-gon pyramid. 
A)  A 14-gon prism has 1 more face than a 14-gon pyramid. 
B)  A 14-gon prism has 28 more faces than a 14-gon pyramid. 
C)  A 14-gon prism has 12 more faces than a 14-gon pyramid. 
D)  A 14-gon prism has 15 more faces than a 14-gon pyramid. 
E)  A 14-gon prism has 14 less faces than a 14-gon pyramid.

Question 19

Refer to the cube pictured below, and use symbols such as   to name the following: Two line segments that do not lie in the same plane. ​   ​

Accepted Answer

A)    and   
B)    and   
C)    and   
D)    and   
E)    and   
A)    and   
B)    and   
C)    and   
D)    and   
E)    and

Question 20

Find the distance between the pair of points ( -7 , -8 ) and ( -5 , -2 ). Round your answer to one decimal place. ​

Accepted Answer

A)  10.2 
B)  5.8 
C)  40.0 
D)  13.4 
E)  6.3 
A)  10.2 
B)  5.8 
C)  40.0 
D)  13.4 
E)  6.3

Name the figure below.

Approximate the measure of the following angle.

Refer to the cube pictured below, and use symbols such as to name the following: Two parallel line segments.

Choose the description that matches the following shape.

Which ray cannot be formed from the three points below?

Determine the number of vertices, edges, and faces of the following shape.

The coordinates of the endpoints of the hypotenuse of a right triangle are (6, 5) and (4, 3). Find the other vertex. There are two possible solutions.

How many different rectangles can you find in the design?

Three vertices of a rectangle are ( -3 , -2 ), ( 1 , -2 ), and ( 1 , -5 ). What is the other vertex?

Three vertices of a kite are (1,8), (1,0), and ( 5 ,6). What is the fourth vertex?

For the figure below, write "polygon" or "not a polygon." If it is a polygon, also write "convex" or "concave."

How many diagonals can be drawn in an a hexagon ?

How many diagonals does a prism have whose base is a regular polygon with 3 sides?

Determine the coordinates at point P in the following square if the bottom left hand corner is at the origin, and the length of each side of the square is 20 .

Find the midpoint of the line segment connecting these two points. ( -4 , 1 ) and ( 9 , 5 )

On a clock, what angle does the minute hand make with hour hand at 12:28? Assume that the hour hand stays in the "12" position.

In the figure below and are perpendicular lines. Name two supplementary angles.

Describe the relationship between the numbers of faces of a 14-gon prism and of a 14-gon pyramid.

Refer to the cube pictured below, and use symbols such as to name the following: Two line segments that do not lie in the same plane.

Find the distance between the pair of points ( -7 , -8 ) and ( -5 , -2 ). Round your answer to one decimal place.

Foundations for Learning Mathematics

The Number System

Understanding Addition and Subtraction

Understanding Multiplication and Division

Proportional Reasoning

Algebraic Thinking

Understanding Statistics and Probability

Geometry As Measurement

Geometry As Transforming Shapes

Filters

Exam 8: Geometry As Shape

Name the figure below. ​ ​

Approximate the measure of the following angle. ​ ​

Refer to the cube pictured below, and use symbols such as to name the following: Two parallel line segments. ​ ​

Choose the description that matches the following shape. ​ ​

Which ray cannot be formed from the three points below? ​ ​

Determine the number of vertices, edges, and faces of the following shape.

The coordinates of the endpoints of the hypotenuse of a right triangle are (6, 5) and (4, 3). Find the other vertex. There are two possible solutions. ​

How many different rectangles can you find in the design? ​ ​

Three vertices of a rectangle are ( -3 , -2 ), ( 1 , -2 ), and ( 1 , -5 ). What is the other vertex? ​

Three vertices of a kite are (1,8), (1,0), and ( 5 ,6). What is the fourth vertex? ​

For the figure below, write "polygon" or "not a polygon." If it is a polygon, also write "convex" or "concave." ​ ​

How many diagonals can be drawn in an a hexagon ? ​

How many diagonals does a prism have whose base is a regular polygon with 3 sides? ​

Determine the coordinates at point P in the following square if the bottom left hand corner is at the origin, and the length of each side of the square is 20 . ​ ​

Find the midpoint of the line segment connecting these two points. ​ ( -4 , 1 ) and ( 9 , 5 ) ​

On a clock, what angle does the minute hand make with hour hand at 12:28? Assume that the hour hand stays in the "12" position. ​

In the figure below and are perpendicular lines. Name two supplementary angles. ​ ​

Describe the relationship between the numbers of faces of a 14-gon prism and of a 14-gon pyramid. ​

Refer to the cube pictured below, and use symbols such as to name the following: Two line segments that do not lie in the same plane. ​ ​

Find the distance between the pair of points ( -7 , -8 ) and ( -5 , -2 ). Round your answer to one decimal place. ​

Foundations for Learning Mathematics

The Number System

Understanding Addition and Subtraction

Understanding Multiplication and Division

Proportional Reasoning

Algebraic Thinking

Understanding Statistics and Probability

Geometry As Measurement

Geometry As Transforming Shapes

Filters

Name the figure below.

Approximate the measure of the following angle.

Refer to the cube pictured below, and use symbols such as to name the following: Two parallel line segments.

Choose the description that matches the following shape.

Which ray cannot be formed from the three points below?

The coordinates of the endpoints of the hypotenuse of a right triangle are (6, 5) and (4, 3). Find the other vertex. There are two possible solutions.

How many different rectangles can you find in the design?

Three vertices of a rectangle are ( -3 , -2 ), ( 1 , -2 ), and ( 1 , -5 ). What is the other vertex?

Three vertices of a kite are (1,8), (1,0), and ( 5 ,6). What is the fourth vertex?

For the figure below, write "polygon" or "not a polygon." If it is a polygon, also write "convex" or "concave."

How many diagonals can be drawn in an a hexagon ?

How many diagonals does a prism have whose base is a regular polygon with 3 sides?

Determine the coordinates at point P in the following square if the bottom left hand corner is at the origin, and the length of each side of the square is 20 .

Find the midpoint of the line segment connecting these two points. ( -4 , 1 ) and ( 9 , 5 )

On a clock, what angle does the minute hand make with hour hand at 12:28? Assume that the hour hand stays in the "12" position.

In the figure below and are perpendicular lines. Name two supplementary angles.

Describe the relationship between the numbers of faces of a 14-gon prism and of a 14-gon pyramid.

Refer to the cube pictured below, and use symbols such as to name the following: Two line segments that do not lie in the same plane.

Find the distance between the pair of points ( -7 , -8 ) and ( -5 , -2 ). Round your answer to one decimal place.