Question
In rotation, the point (x, y) after moving 90° counter-clockwise will be
- (y, -x)
- (-x, -y)
- (-y, x)
- (-x, y)
Hint:
rotate the given point through 90 degrees forward.
The correct answer is: (-y, x)
Given That:
In rotation, the point (x, y) after moving 90° counter-clockwise will be
* We were asked to rotate the point (x, y) through 90 degrees counter clockwise.
>Hence, the point after rotation becomes:
= (x cos
- y sin , y cos + x sin)
= (x cos(90) - y sin(90) , y cos(90) + x sin(90))
= (-y , x ).
>>>Hence, the rotation of the point (x, y) through 90 degrees counter clockwise becomes (-y, x).
* In Mathematics, rotation means the Circular movement of an object around one fixed point.
* In rotation, the image after transformation remains constant.
* Hence, it is called as a rigid transformation.
* No Change in shape and size.
* The Shape rotates counter- clockwise when the degrees is positive and rotates clockwise when degrees is negative.
* The Rotation of a point (x, y) about origin and through angle , then:
New coordinates of a point (x, y) after it's rotation becomes (x cos - y sin , y cos + x sin)
Related Questions to study
In rotation, the point (x, y) after moving 90° clockwise will be
Given That:
In rotation, the point (x, y) after moving 90° clockwise will be
>>point (x, y) will present in the 1st Quadrant.
>>Since, to rotate the point in clockwise denotes backward movement of point.
>> hence, the point is rotated to fourth Quadrant and the point changes to (y, -x).
>>>Final point obtained on rotation of (x, y) by 90 degrees clockwise is (y, -x).
In rotation, the point (x, y) after moving 90° clockwise will be
Given That:
In rotation, the point (x, y) after moving 90° clockwise will be
>>point (x, y) will present in the 1st Quadrant.
>>Since, to rotate the point in clockwise denotes backward movement of point.
>> hence, the point is rotated to fourth Quadrant and the point changes to (y, -x).
>>>Final point obtained on rotation of (x, y) by 90 degrees clockwise is (y, -x).
In rotation, images after transformation will be
Hence, we can say that the image or object transformation in rotation will be equal.
In rotation, images after transformation will be
Hence, we can say that the image or object transformation in rotation will be equal.
Rotation is transformation that
Hence, we can say that rotation is the transformation that rotates about a point.
Rotation is transformation that
Hence, we can say that rotation is the transformation that rotates about a point.
is
is
FGH to 
is
when rotated 180o counterclockwise direction about the origin is
. The pre-image of (11, 11) is
and t is a transversal, then the value of x is
