Understanding Area Formulas for Polygons

What defines a polygon?

• A figure made up of circles

• A shape with curved edges

• A closed shape made up of line segments

• A shape with an open structure

What makes a square and a rhombus special among quadrilaterals?

• They do not have parallel sides

• All their side lengths are equal

• They have unequal side lengths

• Each has four right angles

Which of the following is not a polygon?

• Rectangle

• Circle

• Triangle

• Trapezoid

Why is a circle not considered a polygon?

• Because it has no sides

• Because it has curved edges

• Because it cannot have a base and height

• All of the above

How is the area of a rectangle calculated?

• Length x Width

• Length + Width

• (Base + Height) / 2

• Base x Height

What is the area formula for a triangle?

• 2 x (Base + Height)

• Base + Height

• (Base x Height) / 2

• Base x Height

How do you find the area of a parallelogram?

• 2 x (Base x Height)

• Base + Height

• (Base + Height) / 2

• Base x Height

What distinguishes a parallelogram's area formula from that of a rectangle?

• A parallelogram's formula includes angles

• They use different formulas

• A parallelogram's formula does not use height

• They use the same formula, base times height

How is the area of a trapezoid calculated?

• 2 x (Base1 + Base2 + Height)

• Base1 x Base2 x Height

• ((Base1 + Base2) x Height) / 2

• (Base1 + Base2) x Height

What is the significance of the height in calculating the area of polygons?

• It is always parallel to the base

• It is always perpendicular to the base

• It is the longest side of the polygon

• It is measured along the slant