Parallelogram


What are the properties of a parallelogram?

In geometry, a parallelogram is a convex quadrilateral polygon that is characterized by having 2 sets of parallel sides. In other words, a parallelogram is a 4-sided figure in which opposite pairs of sides lie parallel to each other. Some key properties of parallelograms include: diagonals bisect each other.

How do you prove theorems about parallelograms?

of Analytic Geometry. Students are asked to prove theorems about parallelograms. Theorems include opposite sides are congruent, opposite angles are congruent, the diagonals of a parallelogram bisect each other, and, conversely, rectangles are parallelograms with congruent diagonals. The method for proving is not specified, so it

How do you find the length of a parallelogram?

The diagonals of a parallelogram bisect each other. Apply this property, set up an equation using the measures of the diagonals given as algebraic expressions. Equate the algebraic expressions given as the measures of the opposite sides. Solve the equations and find the measure of the indicated length (s).

What is the difference between a parallelogram and a square?

A parallelogram is a four-sided object that has parallel opposite sides. A square is a parallelogram. If you take the square and tilt it to one side, it’s still a parallelogram as long as its lines remain parallel. A parallelogram is a two-dimensional object that you might have already encountered in geometry class.

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