Question

# The given polygon is called a ___________.

- Rectangle
- Quadrilateral
- Parallelogram
- Square

Hint:

### Polygon is a two- dimensional closed figure which is consist of three or more-line segments. Each polygon has different properties. One of the polygons is quadrilateral. Quadrilateral is a four-sided polygon with four angles and the sum of all angles of a quadrilateral is . Here, we have to find the shape of the given quadrilateral using the properties of the quadrilateral.

## The correct answer is: Parallelogram

### In the question there is a figure using which we have to identify the polygon.

From the given figure we can say that,

It is a quadrilateral as it has 4 sides.

The opposite sides and angles of the quadrilateral are equal.

The opposite sides are parallel to each other.

The quadrilateral whose opposite sides are equal and parallel is called a parallelogram.

So, the polygon given in the question is a parallelogram.

Therefore, the correct option is c, i.e., parallelogram.

Parallelogram is a four-sided polygon whose opposite sides are parallel and equal to each other and the opposite angles are equal to each other. The sum of all angles of a parallelogram is and sum of two consecutive angles is . The diagonals of a parallelogram bisect each other and the angle into two equal halves. Here, we have to use these properties of a parallelogram and solve the given question.

### Related Questions to study

### The sum of interior angles of an octagon is __________.

Octagon is an eight sided polygon whose sum of all angles can be determined using the formula: , where n is the number of sides of the polygon.

### The sum of interior angles of an octagon is __________.

Octagon is an eight sided polygon whose sum of all angles can be determined using the formula: , where n is the number of sides of the polygon.

### For what values of is ABCD a parallelogram?

Parallelogram is a four-sided polygon whose opposite sides are parallel and equal to each other and the opposite angles are equal to each other. The sum of all angles of a parallelogram is and sum of two consecutive angles is . The diagonals of a parallelogram bisect each other and the angle into two equal halves. Here, we have to use these properties of a parallelogram and solve the given question.

### For what values of is ABCD a parallelogram?

Parallelogram is a four-sided polygon whose opposite sides are parallel and equal to each other and the opposite angles are equal to each other. The sum of all angles of a parallelogram is and sum of two consecutive angles is . The diagonals of a parallelogram bisect each other and the angle into two equal halves. Here, we have to use these properties of a parallelogram and solve the given question.

### The measure of side AB is ______.

### The measure of side AB is ______.

### If AEDC is a rectangle, then the length of AE is ____.

### If AEDC is a rectangle, then the length of AE is ____.

### What is the measure of ?

properties of rectangle

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.

diagonals bisect each other.

Both the diagonals have the same length.

### What is the measure of ?

properties of rectangle

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.

diagonals bisect each other.

Both the diagonals have the same length.