Question
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Assessment 2
62
38. A rectangular prism is shown below.
Fa drew a plane to slice the prism diagonally from the top front edge to the back bottom edge. Which
figure was formed by the intersection of the prism and the plane?
a
b
c
d
Assessment 2
62
38. A rectangular prism is shown below.
Fa drew a plane to slice the prism diagonally from the top front edge to the back bottom edge. Which
figure was formed by the intersection of the prism and the plane?
a
b
c
d
Answers
GPT-4o mini
To identify the figure formed by the intersection of a rectangular prism and a diagonal plane slicing from the top front edge to the back bottom edge, we need to visualize the situation.
1. **Understanding the Slice**: When a plane cuts through a 3D shape like a rectangular prism from the top front edge (point A) to the back bottom edge (point B), it creates a diagonal cross-section.
2. **Shape of the Intersection**: The intersection will create a triangular shape because:
- The diagonal cut connects two points that are not on the same face of the prism.
- The plane will extend to the side edges of the prism, forming a triangle where the vertices are at the two points on the prism and one additional point along the cut edges of the prism.
3. **Analyzing the Choices**: The figure formed by the intersection will typically be a triangle if the slice is made diagonally in such a manner.
Without the visual representation of options a, b, c, and d, it's challenging to give a definitive answer. However, you should look for:
- A triangular shape that can be formed by connecting vertices created by the points where the plane intersects the edges of the prism.
Based on this reasoning, the correct option would be the one that represents a triangular cross-section formed by diagonal slicing through the prism.
1. **Understanding the Slice**: When a plane cuts through a 3D shape like a rectangular prism from the top front edge (point A) to the back bottom edge (point B), it creates a diagonal cross-section.
2. **Shape of the Intersection**: The intersection will create a triangular shape because:
- The diagonal cut connects two points that are not on the same face of the prism.
- The plane will extend to the side edges of the prism, forming a triangle where the vertices are at the two points on the prism and one additional point along the cut edges of the prism.
3. **Analyzing the Choices**: The figure formed by the intersection will typically be a triangle if the slice is made diagonally in such a manner.
Without the visual representation of options a, b, c, and d, it's challenging to give a definitive answer. However, you should look for:
- A triangular shape that can be formed by connecting vertices created by the points where the plane intersects the edges of the prism.
Based on this reasoning, the correct option would be the one that represents a triangular cross-section formed by diagonal slicing through the prism.