Which of the following figures shows the net of a triangular pyramid?

Rationale

Figure C shows the net of a triangular pyramid.

A triangular pyramid, also known as a tetrahedron, consists of four triangular faces. The net of such a pyramid must display all four triangles arranged in a way that can be folded to form the three-dimensional shape, which is accurately represented in Figure C.

A (Figure A) YOUR ANSWER

Figure A does not depict a valid net for a triangular pyramid, as it shows only three triangular faces connected in a way that cannot be folded into a pyramid. A net must include all four triangular faces for a complete representation of a triangular pyramid.

B (Figure B) YOUR ANSWER

Figure B is incorrect because it contains four triangular faces, but they are arranged in a manner that does not allow for the formation of a triangular pyramid. The triangles need to be positioned so that they can connect properly when folded, which is not the case here.

D (Figure D) YOUR ANSWER

Figure D also fails to represent the net of a triangular pyramid as it shows a combination of triangles and another shape, which does not correspond to the structure of a triangular pyramid. To form a valid net, all four triangular faces must be present and correctly oriented.

Conclusion

To summarize, a net for a triangular pyramid must include four triangular faces that can be folded together into the three-dimensional shape. Figure C successfully meets this criterion, while Figures A, B, and D do not, as they either lack the necessary number of faces or present an incorrect arrangement. Understanding these configurations is vital in geometry for visualizing and constructing three-dimensional objects.

Which of the following figures shows the net of a triangular pyramid?

Figure C shows the net of a triangular pyramid.

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