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GeoGebra Classroom

Cross Sections of a Regular Tetrahedron

Author:MrsBond, Steve Phelps

Move the Rotate 1 slider to the left, labeled Horizontal and answer Question 1 below.

1. What is the shape of the cross section formed by slicing the Regular Tetrahedron horizontally?

Select all that apply

A
Triangle (3 sided polygon)
B
Rectangle (2 sets of parallel sides, 4 90-degree angles)
C
Trapezoid (4 sided shape, only 1 pair of parallel lines)

Check my answer (3)

Move BOTH rotate sliders to the right. Rotate 1 slider should be moved so it's labeled Vertical. Answer Question 2 below.

2. What is the shape of the cross section formed by slicing the Regular Tetrahedron vertically?

Select all that apply

A
Triangle (3 sided polygon)
B
Rectangle (2 sets of parallel sides, 4 90-degree angles)
C
Trapezoid (4 sided shape, only 1 pair of parallel lines)

Check my answer (3)

Move Rotate 1 slider to the MIDDLE and keep Rotate 2 slider to the RIGHT. Answer Question 3 below.

3. What is the shape of the cross section formed by slicing the rectangular pyramid diagonally so it cuts through one side face AND the Base?

Select all that apply

A
Triangle (3 sided polygon)
B
Rectangle (2 sets of parallel sides, 4 90-degree angles)
C
Trapezoid (4 sided shape, only 1 pair of parallel lines)

Check my answer (3)

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