Question

write properties of a parallelogram and a rectangle​

Answer 1

Answer:

:Opposite sides of a parallelogram are congruent.

Opposite angles of a parallelogram are congruent.

Consecutive angles of a parallelogram are supplementary.

If a parallelogram has 1 right angle, then it has 4 right angles.

The diagonals of a parallelogram bisect each other.

: A rectangle is a quadrilateral.

The opposite sides are parallel and equal to each other.

Each interior angle is equal to 90 degrees.

The sum of all the interior angles is equal to 360 degrees.

The diagonals bisect each other.

Both the diagonals have the same length.

Step-by-step explanation:

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Answer 2

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.

➣ 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.

Properties of Rectangle :

★ The fundamental properties of rectangles are:

➣ A rectangle is a quadrilateral.

➣ The opposite sides are parallel and equal to each other.

➣ Each interior angle is equal to 90 degrees.

➣ The sum of all the interior angles is equal to 360 degrees.

➣ The diagonals bisect each other.

➣ Both the diagonals have the same length.

➣ A rectangle with side lengths a and b has the perimeter as 2a + 2b units.

➣ A rectangle with side lengths a and b has the area as: ab sin 90 = ab square units.

➣ The sum of the interior angles is equal to 360 degrees.

➣ A diagonal of a rectangle is a diameter of its circumcircle.

➣ If a and b are the sides of a rectangle, then the length of each diagonal is: d = a² + b².

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