Question

Use the image to answer the question.

A rectangular pyramid is labeled with the following dimensions. The front left edge of the rectangular base is labeled 6. The front right edge of the rectangular base is labeled 4. There is a dashed line labeled 4 that extends from the apex to the middle of the line labeled 6. There is another dashed line labeled 4 point 6 that extends from the apex to the middle of the line labeled 4.

The rectangular pyramid could be decomposed into which of the following nets?

(1 point)
Responses

A rectangle has 4 triangles connected to it.
Image with alt text: A rectangle has 4 triangles connected to it.

A rectangle has 4 triangles connected to it.
Image with alt text: A rectangle has 4 triangles connected to it.

A rectangle has 4 triangles connected to it.
Image with alt text: A rectangle has 4 triangles connected to it.

A rectangle has 4 triangles connected to it.
Image with alt text: A rectangle has 4 triangles connected to it.
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1 answer

To determine which net corresponds to the rectangular pyramid described, we need to understand the structure and components of the pyramid. A rectangular pyramid consists of:

  1. A rectangular base.
  2. Four triangular faces corresponding to each edge of the rectangle.

In the described scenario, the rectangular base has dimensions labeled 6 and 4, suggesting that these lengths represent the sides of the rectangle. The four triangular faces extend from each edge of the rectangle up to the apex.

When decomposing a rectangular pyramid into a net, we would have the rectangular base laid flat, with each triangular face connected to each edge of the rectangle.

The correct net should therefore show:

  • One rectangle (the base) with the correct dimensions (6 units and 4 units).
  • Four triangles extending from each side of the rectangle.

Given the options presented, if they all appear to show a rectangle with four triangles connected to it, the correct choice would be that which clearly represents the rectangular base and the triangular faces extending from it correctly, resembling the structure of a rectangular pyramid.

Since the responses seem to be identical and simply stating "A rectangle has 4 triangles connected to it," I can't distinguish which is the best choice without visual aids. However, the correct net structure should consist of a rectangle with four triangles that represent the faces of the pyramid—this matches the description of the pyramid you provided.

In summary: The correct answer would indeed showcase one rectangle (base) with four triangles connected to it.