What are the 6 properties of a parallelogram?
What are the 6 properties of a parallelogram?
There are six important properties of parallelograms to know: Opposite sides are congruent (AB = DC). Opposite angels are congruent (D = B). Consecutive angles are supplementary (A + D = 180°). If one angle is right, then all angles are right. The diagonals of a parallelogram bisect each other.
What properties of parallelograms can be applied on rhombi?
The properties of parallelograms can be applied on rhombi. If we have a quadrilateral where one pair and only one pair of sides are parallel then we have what is called a trapezoid. The parallel sides are called bases while the nonparallel sides are called legs.
Why are the opposite sides of a parallelogram equal?
The opposite sides of a parallelogram are equal. From theorem 1, it is proved that the diagonals of a parallelogram divide it into two congruent triangles. When you measure the opposite sides of a parallelogram, it is observed that the opposite sides are equal.
How many angles of a parallelogram at the vertices?
There are four angles of a parallelogram at the vertices. Understanding the properties of parallelograms helps to easily relate the angles and sides of a parallelogram. Also, the properties are helpful for calculations in problems relating to sides and angles of a parallelogram. The four important properties of a parallelogram are as follows.
What are the opposite sides of a parallelogram equal to?
The opposite sides of a parallelogram are equal in length, and the opposite angles are equal in measure. Also, the interior angles on the same side of the transversal are supplementary. Sum of all the interior angles equals 360 degrees.
What are the supplementary angles of a parallelogram?
Also, ∠A & ∠D are supplementary angles because these interior angles lie on the same side of the transversal. In the same way, ∠B & ∠C are supplementary angles. 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.
Are the opposite angles are equal in a parallelogram?
The opposite angles are equal in a parallelogram. Using Theorem 3, we can conclude that the pairs of opposite angles are equal. Thus, each pair of opposite angles is equal, a quadrilateral is a parallelogram. If in a quadrilateral, each pair of opposite angles is equal, then it is a parallelogram.
How do you prove a quadrilateral is a parallelogram?
A quadrilateral is a parallelogram when: 1 the opposite sides of a quadrilateral are equal 2 the opposite angles of a quadrilateral are equal 3 the diagonals of a quadrilateral bisect each other 4 one pair of opposite sides is equal and parallel
