Math, asked by bks700322, 1 month ago

the opposite sides and angles of a rectangle are_​

Answers

Answered by ShaikhManeha
4

Answer:

The opposite sides of a rectangle are equal.

Hope it helps you

Answered by mujeebuddinahmed843
3

Answer:

Opposite sides of a rectangle are the same length (congruent). The angles of a rectangle are all congruent (the same size and measure.) Remember that a 90 degree angle is called a "right angle." So, a rectangle has four right angles. Opposite angles of a rectangle are congruent.

Step-by-step explanation:

We see different kind of shapes around us all the time. Some are geometrical, some are not, some are 2 dimensional and some are 3 dimensional and so on. The rectangle is one of the important and interesting shapes that is studied in geometry. It is a four-sided polygon with straight sides, a flat shape and with four right angles. The rectangle is one of the common geometric shapes we find in our daily life. All the daily things we use, like a table, books, mobile phones, magazines, TV screen, etc. all are rectangles.

A rectangle can be defined as a four-sided quadrilateral with all its four angles being 90°. A rectangle with all sides equal to each other is called as a square. A rectangle is also a parallelogram but a special parallelogram, with equal angles.

Now let us learn the properties of a rectangle. Rectangles have all the properties of a parallelogram because at the end it is a parallelogram. But what makes rectangle special are the extra properties apart from the properties of a parallelogram. In a rectangle, all the angles are equal and equal to 90 degrees. The diagonals of a rectangle are equal which is not equal in case of a parallelogram. In a parallelogram, diagonals are just bisectors, in a rhombus diagonal are perpendicular bisectors. The diagonals of a rectangle are congruent.

Some properties of rectangles are mentioned in the points below.

A rectangle is a parallelogram with 4 right angles

Each of the interior angles of a rectangle is 90° making the sum of interior angle to be 360°.

The diagonals of a rectangle bisect each other.

The opposite sides of a rectangle are parallel.

The opposite sides of a rectangle are equal.

A rectangle whose side lengths are a and b has area ab sin 90° = ab.

A rectangle whose side lengths are a and b has perimeter 2a + 2b

Each diagonal of a rectangle is a diameter of its circumcircle.

Hope it helps..

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