Sketch a net of a regular tetrahedron.
Understand the Problem
The question asks for a drawing of the net of a regular tetrahedron. A net is a 2D shape that can be folded to form a 3D shape. A regular tetrahedron is a pyramid with four equilateral triangle faces.
Answer
The net of a regular tetrahedron consists of four equilateral triangles connected such that folding along the edges creates the 3D tetrahedron shape. ``` /\ / \ /____\ / \ / \ / \/ \ -------- ```
Answer for screen readers
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/ \
/____\
/ \ / \
/ \/ \
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Steps to Solve
- Draw the base triangle
Draw an equilateral triangle. This will be the base of the tetrahedron.
- Add three more triangles
Attach an equilateral triangle to each side of the base triangle. Ensure that each new triangle shares a full side with the base triangle.
- Verify the net
Imagine folding the three outer triangles upwards. They should meet at a single point above the base, forming the tetrahedron.
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/ \
/____\
/ \ / \
/ \/ \
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More Information
A tetrahedron is a polyhedron with 4 faces, 6 edges, and 4 vertices. A regular tetrahedron is one where all four faces are equilateral triangles.
Tips
A common mistake is to draw the triangles in a line, which will not fold into a tetrahedron. Another is not making sure that all four triangles are equilateral and the same size.
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