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QUESTION IMAGE

match each three - dimensional figure with its net

Question

match each three - dimensional figure with its net

Explanation:

Step1: Analyze the first 3D figure (tetrahedron)

The first 3D figure is a tetrahedron (a triangular pyramid) with 4 triangular faces. Its net should consist of 4 triangles. The middle - right figure (the triangle - shaped net with 4 triangles) matches this. So connect the first 3D figure to the middle - right net (the one with 4 triangles).

Step2: Analyze the second 3D figure (pentagonal pyramid)

The second 3D figure is a pentagonal pyramid. A pentagonal pyramid has a pentagonal base and 5 triangular faces. Its net should have a pentagon in the center and 5 triangles around it (like a star - like shape with a pentagon in the middle). The top - right figure (the star - like net with a pentagon in the center and 5 triangles) matches this. So connect the second 3D figure to the top - right net.

Step3: Analyze the third 3D figure (triangular prism)

The third 3D figure is a triangular prism. A triangular prism has 2 triangular bases and 3 rectangular faces. Its net should have 2 triangles and 3 rectangles. The bottom - right figure (with 2 triangles and 3 rectangles) matches this. So connect the third 3D figure to the bottom - right net.

Answer:

  • The first 3 - D figure (tetrahedron) is matched with the middle - right net (the one with 4 triangles).
  • The second 3 - D figure (pentagonal pyramid) is matched with the top - right net (the star - like net with a pentagon in the center).
  • The third 3 - D figure (triangular prism) is matched with the bottom - right net (the one with 2 triangles and 3 rectangles).