Table of Contents
What are the classifications of a parallelogram?
Vocabulary
| Term | Definition |
|---|---|
| rectangle | A parallelogram is a rectangle if and only if it has four right (congruent) angles |
| rhombus | A parallelogram is a rhombus if and only if it has four congruent sides |
| square | A parallelogram is a square if and only if it has four right angles and four congruent sides. |
What are the two ways of classifying parallelograms?
Classifying Parallelograms
- A parallelogram is a rectangle if the diagonals are congruent. @$\begin{align*}ABCD\end{align*}@$ is parallelogram.
- A parallelogram is a rhombus if the diagonals are perpendicular.
- A parallelogram is a rhombus if the diagonals bisect each angle.
Can a rectangle be classified as parallelogram?
Since opposite side are parallel, we can classify the rectangle as a parallelogram and a trapezoid.
Can a rectangle be classified as a parallelogram?
How do you classify a parallelogram on a coordinate plane?
A parallelogram is a quadrilateral with two pairs of parallel sides. A quadrilateral is a closed figure with four sides and four vertices. A rectangle is a quadrilateral with four right angles. A rhombus is a quadrilateral with four congruent sides.
What is the formula for a parallelogram?
A parallelogram is a 4-sided shape formed by two pairs of parallel lines. Opposite sides are equal in length and opposite angles are equal in measure. To find the area of a parallelogram, multiply the base by the height. The formula is: A = B * H where B is the base, H is the height, and * means multiply.
What does a parallelogram equal to?
In geometry, a parallelogram is a quadrilateral with the two pairs of parallel sides. In Euclidean Geometry, the opposites or facing sides of a parallelograms are of equal length and the opposite angles of a parallelogram are of equal measure.
Which shape is always a parallelogram?
A parallelogram is a two-dimensional quadrilateral — a shape that has four sides that intersect at four points, also known as vertices. The two opposite sides of a parallelogram are always parallel and congruent — or equal in length. Rectangles, squares and rhombuses are all examples of parallelograms.
What are all the parallelograms?
Parallelograms are four-sided shapes that have two pairs of parallel sides. Rectangles, squares and rhombuses are all classified as parallelograms. The classic parallelogram looks like a slanted rectangle, but any four-sided figure that has parallel and congruent pairs of sides can be classified as a parallelogram.