This figure is a square pyramid. Choose all figures that can be formed by a vertical slice perpendicular to the base of the square pyramid.
A. Rectangle
B. Triangle
C. Isosceles Trapezoid
D. Square
No figure. Cannot copy and paste here.
triangle and trapezoid
To determine which figures can be formed by a vertical slice perpendicular to the base of a square pyramid, let's first visualize the shape.
A square pyramid has a square as its base and triangular faces that meet at a single point called the apex. When a vertical slice is taken perpendicular to the base, it passes through the apex and divides the pyramid into two identical halves.
Now, let's consider the options:
A. Rectangle: A vertical slice through a square pyramid will NOT form a rectangle. The resulting cross-section will always have triangular halves and not parallel sides.
B. Triangle: Yes, a vertical slice perpendicular to the base of a square pyramid will form a triangle. The apex of the pyramid will be the vertex of the resulting triangle.
C. Isosceles Trapezoid: A vertical slice will NOT form an isosceles trapezoid. As mentioned earlier, the resulting cross-section will have triangular halves, not parallel sides.
D. Square: No, a vertical slice perpendicular to the base of a square pyramid will NOT form a square. The resulting cross-section will always have triangular halves.
Therefore, the correct answers are:
B. Triangle
I hope this explanation helps!