Question
Jamal will slice a right circular cylinder into two congruent pieces. Which two-dimensional plane sections could result from the slice Jamal makes?
​Select each correct answer.
A
circle
B
pentagon
C
hexagon
D
triangle
E
rectangle
Answers
GPT-4o mini
When slicing a right circular cylinder, the resulting two-dimensional plane section can vary based on the angle and orientation of the cut. Below are the correct answers from the options provided:
A. **Circle** - If Jamal cuts across the circular base of the cylinder (horizontally), the result will be a circular plane section.
D. **Triangle** - If the cut is made at an angle from one side of the cylinder to the opposite side (diagonally), the resulting cross-section can be a triangular shape.
E. **Rectangle** - If the cut is made vertically through the height of the cylinder, the resulting section can resemble a rectangle.
Therefore, the correct answers are:
- A (circle)
- D (triangle)
- E (rectangle)
**Note:** Pentagon and hexagon would not typically result from slicing a right circular cylinder.
A. **Circle** - If Jamal cuts across the circular base of the cylinder (horizontally), the result will be a circular plane section.
D. **Triangle** - If the cut is made at an angle from one side of the cylinder to the opposite side (diagonally), the resulting cross-section can be a triangular shape.
E. **Rectangle** - If the cut is made vertically through the height of the cylinder, the resulting section can resemble a rectangle.
Therefore, the correct answers are:
- A (circle)
- D (triangle)
- E (rectangle)
**Note:** Pentagon and hexagon would not typically result from slicing a right circular cylinder.