Question

Draw a figure and write their properties of Parallelogram​

Answer 1

Answer:

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 anyone of the angles is a right angle, then all the other angles will be the right angle.

The two diagonals bisect each other.

Answer 2

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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.

• Each diagonal of a parallelogram separates it into two congruent triangles.

If we have a parallelogram where all sides are congruent then we have what is called a rhombus. 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. If the legs are congruent we have what is called an isosceles trapezoid.

In an isosceles trapezoid the diagonals are always congruent. The median of a trapezoid is parallel to the bases and is one-half of the sum of measures of the bases.