Parallelogram
Opposite angles are congruent
A parallelogram is a quadrilateral with two pairs of parallel sides. These parallel sides are opposite to each other and they have the same length. The opposite angles of a parallelogram are also equal to each other.
Properties of a parallelogram:
– The opposite sides are parallel
– The opposite sides are congruent
– The opposite angles are congruent
– Adjacent angles add up to 180 degrees
– The diagonals bisect each other
– The area is given by the formula: base x height, where the height is the perpendicular distance between the base and the opposite side.
Types of parallelograms:
– Rectangle: a parallelogram with four right angles
– Rhombus: a parallelogram with four congruent sides
– Square: a parallelogram with four congruent sides and four right angles
Applications of parallelograms:
– They are commonly used in construction and architecture for designing buildings
– They can be used to calculate the area of a plot of land
– They are used in the design of parallelogram suspension systems in vehicles
– They are used in mathematical problems and puzzles
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