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Transcript
Geometry
Label each angle as acute, obtuse, or right.
1.
5.
2.
6.
3.
7.
4.
8.
© 2006 MentoringMinds.com
Reproduction of this document for an entire school is strictly prohibited.
Level
Level44
Geometry
Label each angle as acute, obtuse, or right.
1.
acute
5.
obtuse
2.
right
6.
acute
3.
obtuse
7.
right
8.
obtuse
4.
© 2006 MentoringMinds.com
acute
Reproduction of this document for an entire school is strictly prohibited.
Level
Level44
Geometry
Trace all right angles in red. Trace all acute angles in blue. Trace all obtuse angles in yellow.
1.
4.
2.
5.
3.
6.
© 2006 MentoringMinds.com
Reproduction of this document for an entire school is strictly prohibited.
Level
Level44
Geometry
Trace all right angles in red. Trace all acute angles in blue. Trace all obtuse angles in yellow.
1.
R
R
R
R
B
4.
B
Y
2.
5.
B
Y
Y
Y
B
R
R
B
R
Y
Y
3.
B
B
6.
B
B
Y
R
© 2006 MentoringMinds.com
Y
R
Reproduction of this document for an entire school is strictly prohibited.
Level
Level44
Geometry - Angles
1. Draw an acute angle.
5. Draw a figure with an obtuse angle.
2. Draw a right angle.
6. Draw a figure with an acute angle.
3. Draw an obtuse angle.
7. Draw a figure with more than one right angle.
4. Draw a triangle with a right angle.
8. Draw a triangle with 3 acute angles.
Level 4
© 2006 MentoringMinds.com
Reproduction of this document for an entire school is strictly prohibited.
Level 4
Geometry - Angles
1. Draw an acute angle.
5. Draw a figure with an obtuse angle.
Answers will vary.
2. Draw a right angle.
6. Draw a figure with an acute angle.
Answers will vary.
3. Draw an obtuse angle.
7. Draw a figure with more than one right angle.
Answers will vary.
4. Draw a triangle with a right angle.
8. Draw a triangle with 3 acute angles.
Level 4
© 2006 MentoringMinds.com
Reproduction of this document for an entire school is strictly prohibited.
Level 4
Geometry - Angles
Identify each statement as True or False.
1. An acute angle is greater than a right angle.
__________
2. A square has 4 right angles.
__________
3. All triangles have 3 obtuse angles.
__________
4. An obtuse angle is greater than an acute angle.
__________
5. A right triangle has one right angle.
__________
6. A right angle is like a corner.
__________
7. A rectangle has only 2 right angles.
__________
8. All rectangles have an obtuse angle.
__________
9. Some triangles can have an obtuse angle and 2 acute angles.
__________
10. Some squares have acute angles.
__________
11. Right angles are greater than obtuse angles.
__________
12. It is possible for a shape to have more than one type of angle.
__________
© 2006 MentoringMinds.com
Reproduction of this document for an entire school is strictly prohibited.
Level 44
Level
Geometry - Angles
Identify each statement as True or False.
1. An acute angle is greater than a right angle.
F
__________
2. A square has 4 right angles.
__________
T
3. All triangles have 3 obtuse angles.
F
__________
4. An obtuse angle is greater than an acute angle.
__________
T
5. A right triangle has one right angle.
T
__________
6. A right angle is like a corner.
T
__________
7. A rectangle has only 2 right angles.
__________
F
8. All rectangles have an obtuse angle.
F
__________
9. Some triangles can have an obtuse angle and 2 acute angles.
T
__________
10. Some squares have acute angles.
F
__________
11. Right angles are greater than obtuse angles.
F
__________
12. It is possible for a shape to have more than one type of angle.
__________
T
© 2006 MentoringMinds.com
Reproduction of this document for an entire school is strictly prohibited.
Level 44
Level
Geometry
K
True or False?
1. Line K is parallel to line M.
2. Line J is parallel to line K.
3. Line L is perpendicular to line J.
4. Line M is perpendicular to line N.
5. Line L is parallel to line N.
6. Line P is parallel to line L.
7. Line L is parallel to line J.
8. Line P is perpendicular to line K.
9. Line M is parallel to line P.
10. Line J is perpendicular to line P.
© 2006 MentoringMinds.com
Reproduction of this document for an entire school is strictly prohibited.
Level
Level44
Geometry
K
True or False?
F
1. Line K is parallel to line M.
T
2. Line J is parallel to line K.
T
3. Line L is perpendicular to line J.
T
4. Line M is perpendicular to line N.
F
5. Line L is parallel to line N.
T
6. Line P is parallel to line L.
F
7. Line L is parallel to line J.
T
8. Line P is perpendicular to line K.
F
9. Line M is parallel to line P.
T
© 2006 MentoringMinds.com
10. Line J is perpendicular to line P.
Reproduction of this document for an entire school is strictly prohibited.
Level
Level44
Geometry - Lines
Use the figure below to answer the questions.
A
D
C
E
F
B
1.
Which line is parallel to line D?
___________
2.
Which 2 lines are perpendicular to line F ?
___________ and ___________
3.
Which line is parallel to line B?
___________
4.
Which line is parallel to line C?
___________
5.
Which 2 lines are perpendicular to line A?
___________ and ___________
6.
Which line is parallel to line A?
___________
7.
Which line is parallel to line F ?
___________
8.
Which 2 lines are perpendicular to line B?
___________ and ___________
9.
Which line is parallel to line E?
___________
Which 2 lines are perpendicular to line D?
___________ and ___________
10.
Level 4
© 2006 MentoringMinds.com
Reproduction of this document for an entire school is strictly prohibited.
Level 4
Geometry - Lines
Use the figure below to answer the questions.
A
D
C
E
F
B
1.
Which line is parallel to line D?
F
___________
2.
Which 2 lines are perpendicular to line F ?
A
B
___________
and ___________
3.
Which line is parallel to line B?
A
___________
4.
Which line is parallel to line C?
E
___________
5.
Which 2 lines are perpendicular to line A?
F
D
___________
and ___________
6.
Which line is parallel to line A?
B
___________
7.
Which line is parallel to line F ?
D
___________
8.
Which 2 lines are perpendicular to line B?
F
D
___________
and ___________
9.
Which line is parallel to line E?
C
___________
Which 2 lines are perpendicular to line D?
A
B
___________
and ___________
10.
Level 4
© 2006 MentoringMinds.com
Reproduction of this document for an entire school is strictly prohibited.
Level 4
Geometry-Angles
1. Draw a line that is perpendicular to line A.
4. Draw a line that is perpendicular to line M.
M
A
2. Draw a line that is parallel to line B.
5. Draw a line that is parallel to line N.
N
B
3. Draw a line that is perpendicular to line C.
6. Draw a line that is parallel to line P.
C
P
© 2006 MentoringMinds.com
Reproduction of this document for an entire school is strictly prohibited.
Level 44
Level
Geometry-Angles
1. Draw a line that is perpendicular to line A.
4. Draw a line that is perpendicular to line M.
M
A
2. Draw a line that is parallel to line B.
5. Draw a line that is parallel to line N.
N
B
3. Draw a line that is perpendicular to line C.
6. Draw a line that is parallel to line P.
C
P
© 2006 MentoringMinds.com
Reproduction of this document for an entire school is strictly prohibited.
Level 44
Level
Geometry
1. Draw 2 lines that are perpendicular.
4. Draw a shape that has perpendicular sides.
2. Draw a shape with 2 sides that are parallel.
5. Draw a triangle that has 2 perpendicular sides.
3. Draw 3 lines that are parallel.
6. Draw 2 parallel lines. Draw 1 line that is
perpendicular to those 2 lines.
© 2006 MentoringMinds.com
Reproduction of this document for an entire school is strictly prohibited.
Level 4
Level 4
Geometry
1. Draw 2 lines that are perpendicular.
4. Draw a shape that has perpendicular sides.
Answers will vary.
2. Draw a shape with 2 sides that are parallel.
5. Draw a triangle that has 2 perpendicular sides.
Answers will vary.
3. Draw 3 lines that are parallel.
Answers will vary.
Answers will vary.
6. Draw 2 parallel lines. Draw 1 line that is
perpendicular to those 2 lines.
Answers will vary.
Level 4
© 2006 MentoringMinds.com
Reproduction of this document for an entire school is strictly prohibited.
Level 4
Geometry
Study the figure below and label each statement T for true or F for false.
B
A
C
D
E
F
1. Line A is perpendicular to Line E.
________________
2. Line F intersects Lines D and E.
________________
3. Line E is parallel to Line F.
________________
4. The intersection of Lines B and D is perpendicular.
________________
5. Lines E and F are intersecting lines, but they are not perpendicular.
________________
6. Line B is parallel to 2 other lines.
________________
7. Lines C and F intersect each other and are perpendicular.
________________
8. Lines D and F are parallel lines.
________________
8. Lines A and B are perpendicular lines.
________________
10. Lines D, E, and F are parallel lines.
© 2006 MentoringMinds.com
Reproduction of this document for an entire school is strictly prohibited.
________________
Level 4
Level 4
Geometry
Study the figure below and label each statement T for true or F for false.
B
A
C
D
E
F
1. Line A is perpendicular to Line E.
T
________________
2. Line F intersects Lines D and E.
T
________________
3. Line E is parallel to Line F.
F
________________
4. The intersection of Lines B and D is perpendicular.
T
________________
5. Lines E and F are intersecting lines, but they are not perpendicular.
T
________________
6. Line B is parallel to 2 other lines.
T
________________
7. Lines C and F intersect each other and are perpendicular.
F
________________
8. Lines D and F are parallel lines.
F
________________
8. Lines A and B are perpendicular lines.
F
________________
10. Lines D, E, and F are parallel lines.
© 2006 MentoringMinds.com
Reproduction of this document for an entire school is strictly prohibited.
F
________________
Level 4
Level 4
Geometry
A part of a neighborhood map is shown below. Use the map to answer questions 1- 8.
N
Hillside Lane
Pinedale Place
W
E
Sandhill Drive
S
1. Mr. and Mrs. Campbell want to buy a house on a street that is parallel to Hillside Lane. On which streets might they
purchase a house?
__________________________________________________________________________________________________
2. What street intersects Hillside Lane, but is not perpendicular to it?
__________________________________________________________________________________________________
3. The neighborhood pool is located on Elmhurst Drive. What street is parallel to Elmhurst?
__________________________________________________________________________________________________
4. Which streets are perpendicular to Pinedale Place?
__________________________________________________________________________________________________
5. On the part of the map shown above, which streets intersect Hillside Lane?
__________________________________________________________________________________________________
6. Angela lives on Elmhurst and her best friend lives on Hillside. What word describes the intersection of these 2 streets?
__________________________________________________________________________________________________
7. The library is located on the street parallel to Sandhill Drive and immediately north. On what street is the library located?
__________________________________________________________________________________________________
8. What street intersects Sandhill west of Crestview Drive?
__________________________________________________________________________________________________
© 2006 MentoringMinds.com
Reproduction of this document for an entire school is strictly prohibited.
Level 4
Level 4
Geometry
A part of a neighborhood map is shown below. Use the map to answer questions 1- 8.
N
Hillside Lane
Pinedale Place
W
E
Sandhill Drive
S
1. Mr. and Mrs. Campbell want to buy a house on a street that is parallel to Hillside Lane. On which streets might they
purchase a house?
Pinedale
Place, Sandhill Drive
__________________________________________________________________________________________________
2. What street intersects Hillside Lane, but is not perpendicular to it?
Aspen
Drive
__________________________________________________________________________________________________
3. The neighborhood pool is located on Elmhurst Drive. What street is parallel to Elmhurst?
Crestview
Drive
__________________________________________________________________________________________________
4. Which streets are perpendicular to Pinedale Place?
Elmhurst
Drive, Crestview Drive
__________________________________________________________________________________________________
5. On the part of the map shown above, which streets intersect Hillside Lane?
Elmhurst
Drive, Crestview Drive, Aspen Drive
__________________________________________________________________________________________________
6. Angela lives on Elmhurst and her best friend lives on Hillside. What word describes the intersection of these 2 streets?
perpendicular
__________________________________________________________________________________________________
7. The library is located on the street parallel to Sandhill Drive and immediately north. On what street is the library located?
Pinedale
Place
__________________________________________________________________________________________________
8. What street intersects Sandhill west of Crestview Drive?
Elmhurst
Drive
__________________________________________________________________________________________________
© 2006 MentoringMinds.com
Reproduction of this document for an entire school is strictly prohibited.
Level 4
Level 4
Geometry
Label each shape with its name, number of vertices, number of edges, and number of faces.
1.
4.
Name
Name
Vertices
Vertices
Edges
Edges
Faces
Faces
2.
5.
Name
Name
Vertices
Vertices
Edges
Edges
Faces
Faces
3.
6.
Name
Name
Vertices
Vertices
Edges
Edges
Faces
Faces
© 2006 MentoringMinds.com
Reproduction of this document for an entire school is strictly prohibited.
Level
Level44
Geometry
Label each shape with its name, number of vertices, number of edges, and number of faces.
4.
1.
Name
Name
cube
rectangular prism
Vertices
8
Vertices
8
Edges
12
Edges
12
Faces
6
Faces
6
2.
Name
5.
pentagonal prism
Name
triangular pyramid
Vertices
10
Vertices
4
Edges
15
Edges
6
Faces
7
Faces
4
3.
Name
6.
triangular prism
Name
hexagonal prism
Vertices
6
Vertices
12
Edges
9
Edges
18
Faces
5
Faces
8
© 2006 MentoringMinds.com
Reproduction of this document for an entire school is strictly prohibited.
Level
Level44
Geometry
Fill in the blanks under each figure.
1.
4.
Name _________________________
Name _________________________
Vertices _______________________
Vertices _______________________
Edges _________________________
Edges _________________________
2.
5.
Name _________________________
Name _________________________
Vertices _______________________
Vertices _______________________
Edges _________________________
Edges _________________________
3.
6.
Name _________________________
Name _________________________
Vertices _______________________
Vertices _______________________
Edges _________________________
Edges _________________________
© 2006 MentoringMinds.com
Reproduction of this document for an entire school is strictly prohibited.
Level 4
Level 4
Geometry
Fill in the blanks under each figure.
1.
4.
triangle
Name _________________________
rectangle
Name _________________________
3
Vertices _______________________
4
Vertices _______________________
Edges _________________________
3
Edges _________________________
4
2.
5.
square
Name _________________________
octagon
Name _________________________
4
Vertices _______________________
8
Vertices _______________________
4
Edges _________________________
8
Edges _________________________
3.
6.
pentagon
Name _________________________
hexagon
Name _________________________
5
Vertices _______________________
6
Vertices _______________________
5
Edges _________________________
6
Edges _________________________
© 2006 MentoringMinds.com
Reproduction of this document for an entire school is strictly prohibited.
Level 4
Level 4
Geometry
Cube
Triangular
prism
Triangular
pyramid
Square
pyramid
Hexagonal
prism
Rectangular
prism
Answer the questions using the figures above.
1. Which shape has 5 faces, 5 vertices, and 8 edges?
__________________________
2. Which shape has 8 faces, 12 vertices, and 18 edges?
__________________________
3. Which shape has 5 faces, 6 vertices, and 9 edges?
__________________________
4. Which shapes have 6 faces, 8 vertices, and 12 edges?
__________________________
__________________________
5. Which shape has 4 faces, 4 vertices, and 6 edges?
__________________________
Level 4
© 2006 MentoringMinds.com
Reproduction of this document for an entire school is strictly prohibited.
Level 4
Geometry
Cube
Triangular
prism
Triangular
pyramid
Square
pyramid
Hexagonal
prism
Rectangular
prism
Answer the questions using the figures above.
1. Which shape has 5 faces, 5 vertices, and 8 edges?
Square pyramid
__________________________
2. Which shape has 8 faces, 12 vertices, and 18 edges?
Hexagonal prism
__________________________
3. Which shape has 5 faces, 6 vertices, and 9 edges?
Triangular prism
__________________________
4. Which shapes have 6 faces, 8 vertices, and 12 edges?
Cube
__________________________
Rectangular prism
__________________________
5. Which shape has 4 faces, 4 vertices, and 6 edges?
Triangular pyramid
__________________________
Level 4
© 2006 MentoringMinds.com
Reproduction of this document for an entire school is strictly prohibited.
Level 4
Geometry
Cube
Triangular
prism
Triangular
pyramid
Square
pyramid
Hexagonal
prism
Rectangular
prism
Pentagonal
prism
Use the figures above to answer the questions. Mark T for true and F for false.
1.
A square pyramid has 5 vertices.
__________
2.
A triangular prism has more edges than a pentagonal prism.
__________
3.
A rectangular prism and a cube have the same number of faces.
__________
4.
A triangular pyramid has the same number of faces and vertices.
__________
5.
A cube has more faces than vertices.
__________
6.
All the shapes above have more faces than edges.
__________
7.
A square pyramid has 5 triangular faces.
__________
8.
All the faces on the cube are squares.
__________
9.
The shape with the greatest number of edges is the pentagonal prism.
__________
A triangular prism has 3 rectangular faces.
__________
10.
Level 4
© 2006 MentoringMinds.com
Reproduction of this document for an entire school is strictly prohibited.
Level 4
Geometry
Cube
Triangular
prism
Triangular
pyramid
Square
pyramid
Hexagonal
prism
Rectangular
prism
Pentagonal
prism
Use the figures above to answer the questions. Mark T for true and F for false.
1.
A square pyramid has 5 vertices.
T
__________
2.
A triangular prism has more edges than a pentagonal prism.
F
__________
3.
A rectangular prism and a cube have the same number of faces.
T
__________
4.
A triangular pyramid has the same number of faces and vertices.
T
__________
5.
A cube has more faces than vertices.
F
__________
6.
All the shapes above have more faces than edges.
F
__________
7.
A square pyramid has 5 triangular faces.
F
__________
8.
All the faces on the cube are squares.
T
__________
9.
The shape with the greatest number of edges is the pentagonal prism.
F
__________
A triangular prism has 3 rectangular faces.
T
__________
10.
© 2006 MentoringMinds.com
Reproduction of this document for an entire school is strictly prohibited.
Level 4
Level 4
Geometry
Use the figures above to answer the questions. Mark T for true and F for false.
1.
A square has 4 sides.
__________
2.
A triangle has more vertices than a pentagon.
__________
3.
A rectangle and a square have the same number of vertices.
__________
4.
A triangle has the same number of sides and vertices.
__________
5.
A square has more sides than vertices.
__________
6.
All the shapes above have more vertices than sides.
__________
7.
The shape with the least number of vertices is the hexagon.
__________
8.
All the sides of the square are the same length.
__________
9.
The shape above with the greatest number of sides is the octagon.
__________
A pentagon has 5 vertices.
__________
10.
© 2006 MentoringMinds.com
Reproduction of this document for an entire school is strictly prohibited.
Level
Level 44
Geometry
Use the figures above to answer the questions. Mark T for true and F for false.
1.
A square has 4 sides.
T
__________
2.
A triangle has more vertices than a pentagon.
F
__________
3.
A rectangle and a square have the same number of vertices.
T
__________
4.
A triangle has the same number of sides and vertices.
T
__________
5.
A square has more sides than vertices.
F
__________
6.
All the shapes above have more vertices than sides.
F
__________
7.
The shape with the least number of vertices is the hexagon.
F
__________
8.
All the sides of the square are the same length.
T
__________
9.
The shape above with the greatest number of sides is the octagon.
T
__________
A pentagon has 5 vertices.
T
__________
10.
© 2006 MentoringMinds.com
Reproduction of this document for an entire school is strictly prohibited.
Level
Level 44