Each edge of a tetrahedron is congruent to its opposite edge. For example, AB CD. Prove that the faces of the tetrahedron are congruent to one D another. Given that AB CD. What edge is congruent to BC? BC = What edge is congruent to AC?

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.4: Polyhedrons And Spheres
Problem 4E: For a regular tetrahedron, find the number of faces, vertices, and edges in the polyhedron. Then...
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Each edge of a tetrahedron is congruent to its opposite edge. For example, AB CD. Prove that the faces of the tetrahedron are congruent to one
D
another.
Given that AB CD. What edge is congruent to BC?
BC =
What edge is congruent to AC?
Transcribed Image Text:Each edge of a tetrahedron is congruent to its opposite edge. For example, AB CD. Prove that the faces of the tetrahedron are congruent to one D another. Given that AB CD. What edge is congruent to BC? BC = What edge is congruent to AC?
Each edge of a tetrahedron is congruent to its opposite edge. For example, AB CD. Prove that the faces of the tetrahedron are congruent to one
D
another.
What edge is congruent to AC?
ACE
Therefore, by the
V property, the faces of the tetrahedron are congruent to one another.
Transcribed Image Text:Each edge of a tetrahedron is congruent to its opposite edge. For example, AB CD. Prove that the faces of the tetrahedron are congruent to one D another. What edge is congruent to AC? ACE Therefore, by the V property, the faces of the tetrahedron are congruent to one another.
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