A pentagonal prism is cut by a plane perpendicular to the base. What is the shape of the cross section that is formed?
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The quadrilateral formed by this process will always be a parallelogram
<h3>Quadrilaterals</h3>A quadrilateral is simply any polygon that has four sides and four corners.
Common examples are:
- Square
- Rectangle
- Rhombus
- Kite
- Trapezoid
- Rhombus
- Parallelogram
A square is drawn at the coordinates:
(0,0), (6,0), (0,6) and (6,6)
The midpoints of the square sides are at the following coordinates:
(0,3), (3,6), (6,3) and (3,0)
When the points of the midpoints are joined together, they form a parallelogram
<h3>Figure 2</h3>A trapezoid is drawn at the coordinates:
(0,0), (2,6), (8,6) and (10,0)
The midpoints of the square sides are at the following coordinates:
(5,0), (5,6), (1,3) and (9,3)
When the points of the midpoints are joined together, they form a parallelogram
Hence, the quadrilateral formed by this process will always be a parallelogram
Read more about quadrilaterals and parallelograms at:
