Answer
451.8k+ views
Hint: Roughly draw the coordinates of the quadrilateral. Reflected quadrilateral will be a mirror like which will be formed on the left side of the Cartesian plane. A and B coordinates will have reflections A’ and B’ while C and D coordinates won’t have any change.
Complete step-by-step answer:
The quadrilateral ABCD is a trapezium, which can be obtained by drawing ABCD in the graph.
We have been given the coordinates of quadrilateral ABCD as A (2, 2), B (2, -2), C (0, -1) and D (0, 1). All these coordinates lie in the x-y plane i.e. they lie in the first quadrant and fourth quadrant of the Cartesian plane.
What we have to do is to reflect these points onto the second and third quadrant of the Cartesian plane.
Let us draw a rough figure to understand how the reflection of coordinates takes place.
Here point A (2, 2) reflected gives point A’ (-2, 2) on 2nd quadrant. Similarly, point B (2, -2) reflected on the 3rd quadrant gives B’ (-2, -2).
In the 1st quadrant both x and y values of the coordinates (x, y) are positive.
In 2nd quadrant x is negative and y is positive i.e. (-x, y).
In 3rd quadrant both x and y are negative i.e. (-x, -y).
And in the final quadrant x is positive and y negative i.e. (x, -y).
So A in the 1st quadrant is reflected to A’ in the 2nd quadrant and B in the 4th quadrant is reflected to B’ in the 3rd quadrant.
From the figure ABCD represents the original quadrilateral and A’B’CD represents the reflected quadrilateral. Coordinates C(0, -1) and D(0, 1) are common points to both the quadrilaterals.
Therefore the above graphical representation shows quadrilateral ABCD and its reflected quadrilateral A’B’CD.
Note: In a question like this, first try to draw a rough figure, using the given coordinates if you can’t understand the question. We know how mirror images are formed. Just reflect and draw it on the other side of the y-axis and find the coordinates forming the reflected quadrilateral A’B’CD.
Complete step-by-step answer:
The quadrilateral ABCD is a trapezium, which can be obtained by drawing ABCD in the graph.
We have been given the coordinates of quadrilateral ABCD as A (2, 2), B (2, -2), C (0, -1) and D (0, 1). All these coordinates lie in the x-y plane i.e. they lie in the first quadrant and fourth quadrant of the Cartesian plane.
What we have to do is to reflect these points onto the second and third quadrant of the Cartesian plane.
Let us draw a rough figure to understand how the reflection of coordinates takes place.
Here point A (2, 2) reflected gives point A’ (-2, 2) on 2nd quadrant. Similarly, point B (2, -2) reflected on the 3rd quadrant gives B’ (-2, -2).
In the 1st quadrant both x and y values of the coordinates (x, y) are positive.
In 2nd quadrant x is negative and y is positive i.e. (-x, y).
In 3rd quadrant both x and y are negative i.e. (-x, -y).
And in the final quadrant x is positive and y negative i.e. (x, -y).
So A in the 1st quadrant is reflected to A’ in the 2nd quadrant and B in the 4th quadrant is reflected to B’ in the 3rd quadrant.
![seo images](https://www.vedantu.com/question-sets/8dc7a82b-d052-4e22-a450-6dfa0bf0b4323828006214113915759.png)
From the figure ABCD represents the original quadrilateral and A’B’CD represents the reflected quadrilateral. Coordinates C(0, -1) and D(0, 1) are common points to both the quadrilaterals.
![seo images](https://www.vedantu.com/question-sets/ab8bf241-9325-4b05-bbc7-bf4be76684564462421620114477882.png)
Therefore the above graphical representation shows quadrilateral ABCD and its reflected quadrilateral A’B’CD.
Note: In a question like this, first try to draw a rough figure, using the given coordinates if you can’t understand the question. We know how mirror images are formed. Just reflect and draw it on the other side of the y-axis and find the coordinates forming the reflected quadrilateral A’B’CD.
Recently Updated Pages
Let X and Y be the sets of all positive divisors of class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let x and y be 2 real numbers which satisfy the equations class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let x 4log 2sqrt 9k 1 + 7 and y dfrac132log 2sqrt5 class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let x22ax+b20 and x22bx+a20 be two equations Then the class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let x1x2xn be in an AP of x1 + x4 + x9 + x11 + x20-class-11-maths-CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let x1x2x3 and x4 be four nonzero real numbers satisfying class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Trending doubts
Write a letter to the principal requesting him to grant class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Change the following sentences into negative and interrogative class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Fill in the blanks A 1 lakh ten thousand B 1 million class 9 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Fill the blanks with proper collective nouns 1 A of class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
What is the past tense of read class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
One cusec is equal to how many liters class 8 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Give 10 examples of Material nouns Abstract nouns Common class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Select the word that is correctly spelled a Twelveth class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)