Parallelograms are four-sided polygons with parallel and equal opposite sides, and their varieties include rectangles, squares, and rhombuses. Each type has unique properties, such as right angles in rectangles and equal sides in rhombuses. The area of a parallelogram is calculated by multiplying the base by the height, and this formula is vital in fields like surveying and construction. Specialized formulas are used for rhombuses and kites, demonstrating the practical applications of these geometric principles.
Show More
A parallelogram is a four-sided polygon with two pairs of parallel sides
The sides opposite each other in a parallelogram are parallel and equal in length
The angles opposite each other in a parallelogram are congruent, and the diagonals bisect each other at the midpoint
A rectangle is a parallelogram with four right angles
A square is a parallelogram with four equal sides and four right angles
A rhombus is a parallelogram with four equal sides, but not necessarily right angles
The area of a parallelogram is calculated by multiplying the base by the height
The area formula for parallelograms has practical applications in fields such as land surveying, construction, and architectural design
The area formula can be used to find unknown dimensions of parallelograms when certain measurements are given
The area of a rhombus can be calculated using the lengths of its diagonals
The area of a kite can be determined using the lengths of its diagonals, similar to the formula for a rhombus
The area formulas for parallelograms can be applied to real-world situations, such as kite design and fabrication
00
Parallelogram side properties
Opposite sides are parallel and equal in length.
01
Parallelogram angle properties
Opposite angles are congruent.
02
Parallelogram diagonal properties
Diagonals bisect each other and create congruent triangles.
