A parallelogram is a two-dimensional shape. It has four sides, in which two pairs of sides are parallel. Also, the parallel sides are equal in length. If the length of the parallel sides is not equal in measurement, then the shape is not a parallelogram. Similarly, the opposite interior angles of parallelogram should always be equal. Otherwise, it is not a parallelogram.
Special Parallelograms
Square and Rectangle: A square and a rectangle are two shapes which have similar properties of a parallelogram. Both have their opposite sides equal and parallel to each other. Diagonals of both shapes bisect each other.
Rhombus: If all the sides of a parallelogram are congruent or equal to each other, then it is a rhombus.
Rhomboid: A special case of a parallelogram that has its opposite sides parallel to each other but adjacent sides are of unequal lengths. Also, the angles are equal to 90 degrees.
Trapezium: If there is one parallel side and the other two sides are non-parallel, then it is a trapezium.
Angles of Parallelogram
A parallelogram is a flat 2d shape which has four angles. The opposite interior angles are equal. The angles on the same side of the transversal are supplementary, that means they add up to 180 degrees. Hence, the sum of the interior angles of a parallelogram is 360 degrees.
Properties of Parallelogram
If a quadrilateral has a pair of parallel opposite sides, then it’s a special polygon called Parallelogram. The properties of a parallelogram are as follows:
The opposite sides are parallel and congruent
The opposite angles are congruent
The consecutive angles are supplementary
If any one of the angles is a right angle, then all the other angles will be at right angle
The two diagonals bisect each other
Each diagonal bisects the parallelogram into two congruent triangles
The Sum of square of all the sides of parallelogram is equal to the sum of square of its diagonals. It is also called parallelogram law
Answers & Comments
Answer:
figure a is parallelogram but figure b is not.
Step-by-step explanation:
Shape of Parellelogram
A parallelogram is a two-dimensional shape. It has four sides, in which two pairs of sides are parallel. Also, the parallel sides are equal in length. If the length of the parallel sides is not equal in measurement, then the shape is not a parallelogram. Similarly, the opposite interior angles of parallelogram should always be equal. Otherwise, it is not a parallelogram.
Special Parallelograms
Square and Rectangle: A square and a rectangle are two shapes which have similar properties of a parallelogram. Both have their opposite sides equal and parallel to each other. Diagonals of both shapes bisect each other.
Rhombus: If all the sides of a parallelogram are congruent or equal to each other, then it is a rhombus.
Rhomboid: A special case of a parallelogram that has its opposite sides parallel to each other but adjacent sides are of unequal lengths. Also, the angles are equal to 90 degrees.
Trapezium: If there is one parallel side and the other two sides are non-parallel, then it is a trapezium.
Angles of Parallelogram
A parallelogram is a flat 2d shape which has four angles. The opposite interior angles are equal. The angles on the same side of the transversal are supplementary, that means they add up to 180 degrees. Hence, the sum of the interior angles of a parallelogram is 360 degrees.
Properties of Parallelogram
If a quadrilateral has a pair of parallel opposite sides, then it’s a special polygon called Parallelogram. The properties of a parallelogram are as follows: