briabrodnax19
29.07.2019 •
Mathematics
Is it possible to take a cross section of a tetrahedron and get an octagon? why or why not? a.) yes, because an octagon has eight sides, which is twice the number of faces on a tetrahedron. b.) yes, because a tetrahedron is symmetric about its center. c.) no, because the only cross section that can result from a tetrahedron is a triangle. d.) no, because the number of sides on the resulting shape cannot exceed the number of faces on the solid. d.) no, because the number of sides on the resulting shape cannot exceed the number of faces on the solid.
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Ответ:
A tetrahedron is another name for a triangular prism. When you look at a tetrahedron it only has 4 different sides. If you take a cross section, the largest number of sides that you could have would be 4. There is no way to get an 8 sided octagon.
Ответ:
i) BC ║ AD
iii) BA ≅ CD
v) ∠CBA ≅ ∠BCD
Step-by-step explanation:
In a isosceles trapezoid. The non parallel sides must be equal.
In general, trapezoid has one set of parallel lines in addition isosceles trapezoid the non parallel sides must be equal.
Therefore, the angles ∠CBA ≅ ∠BCD
Hence, the following statements are true.
i) BC ║ AD
iii) BA ≅ CD
v) ∠CBA ≅ ∠BCD
Hope this will helpful.
Thank you.