In this blog we are going to tell you about Which shows the image of quadrilateral ABCD after the transformation R0, 90°, so read this blog carefully to get the complete information.
Answer: The second picture of the quadrilateral is the right answer because it has coordinates given as A'(0, 1), B'(1, 0), C'(3, -2), and D'(2, -3).
Answer Explanation:
Let’s talk about the corresponding answer picture. As we all know, when a figure is rotated by a 90° angle counterclockwise about the origin, the sides of the points of the figure are switched. In addition to this, the sign of the y coordinate is also reversed. So overall the rule to rotate the point of any figure is rotated 90° counterclockwise about the origin is given as –
(x,y) becomes (-y,x)
Now coming to the question, on seeing the quadrilateral ABCD in the first figure that has the vertices A(-1, 0), B(0, -1), C(-2, -3), and D(-3, -2) respectively. If this quadrilateral is rotated counterclockwise 90° about the origin then it will become:
A (-1, 0) A’ → (-y,x) = (0,1)
B(0, -1) B’ → (-y,x) = (1, 0)
C(-2, -3) C’ → (-y,x) = (3, -2)
D(-3, -2) D’ → (-y,x) = (2, -3)
Now the coordinates of a quadrilateral ABCD after rotating it 90 degrees about the origin will be A'(0, 1), B'(1, 0), C'(3, -2), and D'(2, -3). This is the reason the second picture is the correct answer as it has the right coordinates given as A'(0, 1), B'(1, 0), C'(3, -2), and D'(2, -3).
The bottom line
Overall you need to remember that 90-degree rotation about the origin of a quadrilateral transforms the coordinate (x,y) into (-y,x). We hope you found this article helpful and understood the answer to the question about 90-degree rotation of a quadrilateral.
Conclusion
We Hope this blog is sufficient enough to provide the information about Which shows the image of quadrilateral ABCD after the transformation R0, 90°?. Thanks for reading this blog.