26 Review

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26 Review

• CCM7U5L2
• Geometric Cross-Sections

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25 26
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Problem 1

• What shape is formed by the intersection of this
  cone?

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Answer 1

• A circle

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Problem 2

• Sketch the intersection of a plane and a cube so
  that the cross section is a triangle.

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Answer 2
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Problem 3

• What 3 solids can have a rectangle as a cross
  sections?

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Answer 3

• Rectangular prism
• Cylinder
• Rectangular pyramid

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Problem 4

• Name the two shapes that can be formed by the
  horizontal and vertical intersection of a plane
  and a cylinder.

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Answer 4

• Circle
• rectangle

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Problem 5

• Sketch and name the solid formed by rotating a
  square

12
Answer 5

• cylinder

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Problem 6

• What is a cross section?

14
Answer 6

• A plane figure obtained by slicing a solid with a
  plane.

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Problem 7

• What 3D shape is formed by the translation of a
  circle through space?

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Answer 7

• cylinder

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Problem 8

• What figure is formed when a triangle rotates in
  space on its vertex?

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Answer 8

• cone

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Problem 9

• What shape is the vertical cross section of a
  pyramid?

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Answer 9

• triangle

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Problem 10

• What solid figure is formed when a rectangle is
  rotated 360 degrees?

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Answer 10

• cylinder

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Problem 11

• What solid is represented by a set of parallel
  cross sections that are similar circles, but not
  congruent circles?

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Answer 11

• cone

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Problem 12

• What is the greatest number of sides in a
  polygonal cross section of a cube?

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Answer 12

• 6

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Problem 13

• Name the solid based on the following properties
• A set of my parallel cross sections are squares
  that are similar, but not congurent

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Answer 13

• Rectangular pyramid

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Problem 14

• What shape is the horizontal cross section of a
  rectangular prism?

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Answer 14

• rectangle

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Problem 15

• What 3D shape is formed by the translation of a
  square through space?

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Answer 15

• Rectangular prism

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Problem 16

• Is a square a possible cross sections that can be
  formed when a rectangular pyramid is intersected
  by a plane?

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Answer 16

• yes

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Problem 17

• Name the vertical and horizontal cross sections
  that can be formed when a cone is intersected by
  a plane?

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Answer 17

• Circle, triangle

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Problem 18

• Is a circle a possible cross section that can be
  formed when a rectangular pyramid is intersected
  by a plane?

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Answer 18

• no

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Problem 19

• What figure is formed when a rectangle rotates in
  space on its edge?

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Answer 19

• cylinder

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Problem 20

• What three solid figures have a circle as a
  horizontal cross section?

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Answer 20

• Cone
• Sphere
• cylinder

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Problem 21

• What two solid figures can be formed by moving a
  square in a straight line through space?

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Answer 21

• cube
• Rectangular prism

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Problem 22

• What solid figures have a triangle as a cross
  section?

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Answer 22

• Pyramids, cube, cone

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Problem 23

• What 3D shape is made by translating a triangle
  through space?

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Answer 23

• Triangular prism

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Problem 24

• Is a triangle a possible cross section that can
  be formed when a rectangular pyramid is
  intersected by a plane?

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Answer 24

• yes

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Problem 25

• Is a rectangle a possible cross section that can
  be formed when a rectangular pyramid is
  intersected by a plane?

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Answer 25

• yes

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Problem 26

• A sphere is formed when what plane figure is
  rotated?

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Answer 26

• circle