What is quadrilateral with only $2$ right angles $?$
Answer
605.4k+ views
Hint: There are a wide range of quadrilateral/ polygon. The question demands for the quadrilateral with certain characteristics. For this we need to know the types of quadrilaterals and their properties.
Complete step by step solution:
Quadrilateral is a polygon with four vertices and four edges. It is a closed, two-dimensional shape which has four straight lines. Here the question asks us to name the quadrilateral having $2$ right angles. We have more than $5$ types quadrilaterals each differing from each other in terms of angle, side etc.
The given condition is fulfilled for the below quadrilateral, called trapezoid.
In the given quadrilateral two sides are parallel which is AB and DC. While the other $2$sides are not parallel. The$2$ angles are ${{90}^{\circ }}$
The type of quadrilateral where $2$ sides are parallel and the other $2$sides not parallel are called Trapezium/ trapezoid.
$\therefore $ The quadrilateral here is Trapezoid, to be more precise right angled Trapezoid.
Note: There are many more quadrilaterals that we should know, so we will define those in two lines,
Starting with square: It has all sides of equal length where every angle is a right angle. Opposite sides are parallel to each other.
Then we'll talk about another quadrilateral, Rhombus which is also of four sides and it is a quadrilateral where all sides are equal and opposite sides are parallel and opposite angles are equal, but the angles are not ${{90}^{\circ }}$.
The next quadrilateral is parallelogram which has opposite sides parallel and equal. But all the four sides are not equal. The opposite angles are also equal.
Rectangle is a four sided shape where every angle is a right angle also opposite sides are parallel and of equal length. But all the four sides are not equal.
Complete step by step solution:
Quadrilateral is a polygon with four vertices and four edges. It is a closed, two-dimensional shape which has four straight lines. Here the question asks us to name the quadrilateral having $2$ right angles. We have more than $5$ types quadrilaterals each differing from each other in terms of angle, side etc.
The given condition is fulfilled for the below quadrilateral, called trapezoid.
In the given quadrilateral two sides are parallel which is AB and DC. While the other $2$sides are not parallel. The$2$ angles are ${{90}^{\circ }}$
The type of quadrilateral where $2$ sides are parallel and the other $2$sides not parallel are called Trapezium/ trapezoid.
$\therefore $ The quadrilateral here is Trapezoid, to be more precise right angled Trapezoid.
Note: There are many more quadrilaterals that we should know, so we will define those in two lines,
Starting with square: It has all sides of equal length where every angle is a right angle. Opposite sides are parallel to each other.
Then we'll talk about another quadrilateral, Rhombus which is also of four sides and it is a quadrilateral where all sides are equal and opposite sides are parallel and opposite angles are equal, but the angles are not ${{90}^{\circ }}$.
The next quadrilateral is parallelogram which has opposite sides parallel and equal. But all the four sides are not equal. The opposite angles are also equal.
Rectangle is a four sided shape where every angle is a right angle also opposite sides are parallel and of equal length. But all the four sides are not equal.
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