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A rectangular pyramid is pictured below. Select the type of cross section formed when the figure is cut by a plane containing its altitude and perpendicular to its base. circle hexagon pentagon triangle

A rectangular pyramid is pictured below. Select the type of cross section formed when the figure is cut by a plane containing its altitude and perpendicular to its base.\newlinecircle\newlinehexagon\newlinepentagon\newlinetriangle

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Q. A rectangular pyramid is pictured below. Select the type of cross section formed when the figure is cut by a plane containing its altitude and perpendicular to its base.\newlinecircle\newlinehexagon\newlinepentagon\newlinetriangle
  1. Identify Base Shape: Identify the shape of the base of the rectangular pyramid.\newlineA rectangular pyramid has a rectangular base. Since the cross section is formed by a plane containing its altitude and perpendicular to its base, the cross section will be a shape that is a slice through the pyramid from its apex perpendicular to the base.
  2. Determine Cross Section: Determine the shape of the cross section.\newlineThe cross section will be the same shape as the base but possibly with different dimensions, depending on where the cut is made. Since the base is a rectangle, the cross section will also be a rectangle if the cut is made through the apex, or a triangle if the cut is made before reaching the opposite side of the base.
  3. Analyze Given Options: Analyze the options given.\newlineThe options are circle, hexagon, pentagon, and triangle. Since the base is a rectangle, the only possible shape from the given options for the cross section, when cut by a plane containing its altitude and perpendicular to its base, is a triangle.

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