Question
he owner of a sandwich shop sliced off a section of a block of cheddar cheese, as shown below. The slice includes one complete edge of the block.
Sliced from almost middle of the top face to the bottom right edge
What shape is the face of the newly sliced block of cheese?
A.
a rhombus
B.
a parallelogram
C.
a triangle
D.
a trapezoid
Sliced from almost middle of the top face to the bottom right edge
What shape is the face of the newly sliced block of cheese?
A.
a rhombus
B.
a parallelogram
C.
a triangle
D.
a trapezoid
Answers
GPT-4o mini
To visualize the cut made from the middle of the top face to the bottom right edge, we can break down the geometry of the original block of cheese.
1. **Original Block Shape**: The block of cheddar cheese is typically a rectangular prism (a box shape), which has rectangular top, bottom, front, back, left, and right faces.
2. **Slice Description**: The cut goes from the middle of the top face (let's denote this point as point A) to the bottom right edge (not a corner, but rather along the edge). This cut will create a diagonal slice across the top face going to the bottom edge.
3. **Geometric Result**: The new face created by this slice will be the shape formed by connecting:
- Point A (the middle of the top),
- The bottom right corner of the back face,
- The top right corner of the right face,
- The point on the top face directly above the bottom right corner.
Given this reasoning:
- It is a **trapezoid** shape because it has one pair of parallel sides (the top and the bottom edge) but isn’t fully rectangular due to the diagonal cut.
Thus, the answer is:
**D. a trapezoid**.
1. **Original Block Shape**: The block of cheddar cheese is typically a rectangular prism (a box shape), which has rectangular top, bottom, front, back, left, and right faces.
2. **Slice Description**: The cut goes from the middle of the top face (let's denote this point as point A) to the bottom right edge (not a corner, but rather along the edge). This cut will create a diagonal slice across the top face going to the bottom edge.
3. **Geometric Result**: The new face created by this slice will be the shape formed by connecting:
- Point A (the middle of the top),
- The bottom right corner of the back face,
- The top right corner of the right face,
- The point on the top face directly above the bottom right corner.
Given this reasoning:
- It is a **trapezoid** shape because it has one pair of parallel sides (the top and the bottom edge) but isn’t fully rectangular due to the diagonal cut.
Thus, the answer is:
**D. a trapezoid**.