16. Which of the following figures shows the net of a triangular pyramid?
Answer: C
Figure C shows the net of a triangular pyramid.
Figure C accurately represents the net of a triangular pyramid, which consists of a triangular base and three triangular lateral faces. This configuration allows for the folding of the net into a three-dimensional shape.
A) Figure A
Figure A does not depict the correct net for a triangular pyramid. It may show a net with different shapes or arrangements that do not correspond to the required triangular base and lateral faces needed to form a triangular pyramid.
B) Figure B
Figure B is incorrect as it fails to provide the correct arrangement of triangles necessary to create a triangular pyramid. The lack of a proper triangular base or the correct number of lateral faces disqualifies it from being the net of a triangular pyramid.
C) Figure C
Figure C is the correct answer because it displays the proper structure of a net for a triangular pyramid, featuring one triangular base and three triangular lateral faces that can be folded to form the solid shape.
D) Figure D
Figure D is not the net of a triangular pyramid as it does not include the necessary components or the correct orientation of triangles. This option may misrepresent the essential characteristics of a triangular pyramid's net.
Conclusion
Figure C is definitively the right choice as it correctly illustrates the net of a triangular pyramid. The other options fail to present the required triangular configurations and arrangements, thereby not satisfying the conditions of the question. Understanding the structure of nets is crucial for visualizing and constructing three-dimensional shapes from two-dimensional representations.