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5. a plane intersects the rectangular prism shown parallel to its base …

Question

  1. a plane intersects the rectangular prism shown parallel to its base efgh. (gs.mgsr.1.2) what shape does the cross - section create?

Explanation:

Step1: Recall properties of rectangular prisms

A rectangular prism has rectangular bases (and faces). When a plane intersects a rectangular prism parallel to its base, the cross - section should have the same shape as the base.

Step2: Identify the base shape

The base of the rectangular prism here is EFGH, which is a rectangle (since it's a rectangular prism). A plane parallel to the base will create a cross - section that is congruent in shape to the base. So the cross - section will be a rectangle.

Answer:

Rectangle