What is the parallelogram side Theorem?
Theorem 1: In a parallelogram, the opposite sides are of equal length. Theorem 2: If the opposite sides in a quadrilateral are the same length, then the figure is a parallelogram. Theorem 3: A quadrilateral is a parallelogram if and only if the diagonals bisect each other.
How do you prove a shape is a parallelogram?
Parallelograms have these identifying properties:
- Congruent opposite sides.
- Congruent opposite angles.
- Supplementary consecutive angles.
- If the quadrilateral has one right angle, then it has four right angles.
- Bisecting diagonals.
- Each diagonal separates the parallelogram into two congruent triangles.
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 are the requirements for a parallelogram?
A quadrilateral MUST be a parallelogram if it has both pairs of its opposite angles congruent (or equal in measure). A quadrilateral MUST be a parallelogram if it has both diagonals bisecting each other. A quadrilateral MUST be a parallelogram if it has all of its pairs of consecutive angles supplementary.
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.
What shape is a parallelogram?
A Parallelogram is a flat shape with opposite sides parallel and equal in length. Opposite sides are parallel. Opposite angles are equal (angles “a” are the same, and angles “b” are the same) Angles “a” and “b” add up to 180°, so they are supplementary angles.