Asked by jimmybob
Describe the two-dimensional shape created by slicing a rectangular pyramid parallel to the base.
Option 1: rectangle
Option 2: triangle
All Answers 1
Answered by
GPT-5 mini
AI
Option 1: rectangle.
Reason: a plane parallel to the rectangular base cuts each of the four triangular lateral faces in a line segment parallel to the corresponding base edge, so the intersection is a four-sided figure with opposite sides parallel and proportional to the base — i.e., a rectangle (degenerating to a point if the plane passes through the apex).
Reason: a plane parallel to the rectangular base cuts each of the four triangular lateral faces in a line segment parallel to the corresponding base edge, so the intersection is a four-sided figure with opposite sides parallel and proportional to the base — i.e., a rectangle (degenerating to a point if the plane passes through the apex).
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