26 Review CCM 7 U 5 L 2

26 Review CCM 7 U 5 L 2 Geometric Cross-Sections

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Problem #1 • What shape is formed by the intersection of this cone?

Answer #1 • A circle

Problem #2 • Sketch the intersection of a plane and a cube so that the cross section is a triangle.

Answer #2

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

Answer #3 • Rectangular prism • Cylinder • Rectangular pyramid

Problem #4 • Name the two shapes that can be formed by the horizontal and vertical intersection of a plane and a cylinder.

Answer #4 • Circle • rectangle

Problem #5 • Sketch and name the solid formed by rotating a square

Answer #5 • cylinder

Problem #6 • What is a cross section?

Answer #6 • A plane figure obtained by slicing a solid with a plane.

Problem #7 • What 3 D shape is formed by the translation of a circle through space?

Answer #7 • cylinder

Problem #8 • What figure is formed when a triangle rotates in space on its vertex?

Answer #8 • cone

Problem #9 • What shape is the vertical cross section of a pyramid?

Answer #9 • triangle

Problem #10 • What solid figure is formed when a rectangle is rotated 360 degrees?

Answer #10 • cylinder

Problem #11 • What solid is represented by a set of parallel cross sections that are similar circles, but not congruent circles?

Answer #11 • cone

Problem #12 • What is the greatest number of sides in a polygonal cross section of a cube?

Answer #12 • 6

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

Answer #13 • Rectangular pyramid

Problem #14 • What shape is the horizontal cross section of a rectangular prism?

Answer #14 • rectangle

Problem #15 • What 3 D shape is formed by the translation of a square through space?

Answer #15 • Rectangular prism

Problem #16 Is a square a possible cross sections that can be formed when a rectangular pyramid is intersected by a plane?

Answer #16 • yes

Problem #17 • Name the vertical and horizontal cross sections that can be formed when a cone is intersected by a plane?

Answer #17 • Circle, triangle

Problem #18 • Is a circle a possible cross section that can be formed when a rectangular pyramid is intersected by a plane?

Answer #18 • no

Problem #19 • What figure is formed when a rectangle rotates in space on its edge?

Answer #19 • cylinder

Problem #20 • What three solid figures have a circle as a horizontal cross section?

Answer #20 • Cone • Sphere • cylinder

Problem #21 • What two solid figures can be formed by moving a square in a straight line through space?

Answer #21 • cube • Rectangular prism

Problem #22 • What solid figures have a triangle as a cross section?

Answer #22 • Pyramids, cube, cone

Problem #23 • What 3 D shape is made by translating a triangle through space?

Answer # 23 • Triangular prism

Problem #24 • Is a triangle a possible cross section that can be formed when a rectangular pyramid is intersected by a plane?

Answer #24 • yes

Problem #25 • Is a rectangle a possible cross section that can be formed when a rectangular pyramid is intersected by a plane?

Answer #25 • yes

Problem #26 • A sphere is formed when what plane figure is rotated?

Answer #26 • circle