Question

what shapes can you create by taking cross sections of a cylinder?

an isosceles triangle
a trapezoid
a rectangle
a circle
an ellipse

Explanation:

Analyze horizontal cross sections

$$ \text{Plane parallel to the circular bases} \implies \text{circle} $$

Analyze vertical cross sections

$$ \text{Plane perpendicular to the circular bases} \implies \text{rectangle} $$

Analyze angled cross sections

$$ \text{Plane cutting through the curved side at an angle} \implies \text{ellipse} $$

Answer:

• an isosceles triangle
• a trapezoid
• a rectangle (Correct answer)
• a circle (Correct answer)
• an ellipse (Correct answer)