When a point (2, -4) is rotated counterclockwise about the origin. Find the coordinate after the rotation of 90^o rotation.

If you can rotate a figure more than 360^o, then the effect is the __________as rotating the figure by the angle minus 360^o.

Graph a triangle ABC with vertices A(2, 1), B(4, 4), and C(8, 0). Rotate the triangle 180^o about the origin.

Given, the vertices of a triangle ABC with vertices A(2, 1), B(4, 4), and C(8, 0).
For a rotation of 180 degrees, coordinate rule (a, b) → (-a, -b).
A(2, 1) → A’(-2, -1)
B(4, 4) → B’(-4, -4)
C(8, 0) → C’(-8, 0)
Now, graph the triangle A’B’C’.

Graph a triangle LMN with vertices L(-5, -3), M(-3, -5), and N(0, -1). Rotate the triangle 90 about the origin.

Given, the vertices of a triangle ABC with vertices L(-5, -3), M(-3, -5), and N(0, -1).
For a rotation of 90 degrees, coordinate rule (a, b) → (-b, a).
L(-5, -3) → L’(3, -5)
M(-3, -5) → M’(5, -3)
N(0, -1) → N’(1, 0)
Now, graph the triangle L’M’N’.

Find the image coordinates of the figure w.r.t 180^o rotation about the origin.

Given coordinates of the figure, A(1, 2), B(5, 2), and C(3, 5).
For a rotation of 180 degrees, coordinate rule (a, b) → (-a, -b).
A(1, 2) → A’(-1, -2)
B(5, 2) → B’(-5, -2)
C(3, 5) → C’(-3, -5)
Image coordinates of the figure are A’(-1, -2), B’(-5, -2), and C’(-3, -5).

Find the image vertices of the line w.r.t 90^o rotation about the origin.

Coordinate of the line AB, A= (1, 2) and B= (5, 2)
For a rotation of 90, coordinate rule (a, b) → (-b, a).
A(1, 2) → A’(-2, 1)
B(5, 2) → B’(-2, 5)
Image vertices of the line AB are A’(-2, 1) and B’(-2, 5).

Find the coordinate of the point and its image point w.r.t 270^o rotation about the origin.

Coordinate of point V = (-3, -2)
For a rotation of 270 degrees, coordinate rule (a, b) → (b, -a).
V(-3, -2) →  V’(-2, 3)
The coordinate V(-3, -2) and its image V’(-2, 3).

When a point (9, -2) is rotated counterclockwise about the origin. Find the coordinate after the rotation of 270^o rotation.

For a rotation of 270 degrees, (a, b) → (b, -a)
(9, -2) →(-2, -9)

When a point (5, -4) is rotated counterclockwise about the origin. Find the coordinate after the rotation of 180^o rotation.

For a rotation of 180 degrees, (a, b) → (-a, -b).
(5, -4) → (-5, 4)

From the below figure, identify the angle of rotation along with direction.

Angle of rotation is the angle that makes by the ray of center of rotation and the real object and the ray that joins the ray of center of rotation and the image object.
>>>Therefore, the angle of rotation is 105 degrees.

When a point (a, b) is rotated 360 counterclockwise about the origin, then the coordinates of the image point will be________

Rotate the point exactly to 360 degrees to obtain the point  of rotation.

When a point (a, b) is rotated 270 counterclockwise about the origin, then the coordinates of the image point will be________

Rotate the given point in the plane through 270 degrees angle of rotation to obtain the new coordinates.

When a point (a, b) is rotated 180 counterclockwise about the origin, then the coordinates of the image point will be________

Rotate the point in the plane at 180 degrees of angle of rotation to obtain the point of rotation.

When a point (a, b) is rotated 90 counterclockwise about the origin, then the coordinates of the image point will be________.

When a point (a, b) is rotated 90 counterclockwise about the origin, then the coordinates of the image point will be (-b, a).

Rotation can be clockwise or __________________.

Therefore, we can say that the Rotation can be done both in clockwise or counter clockwise direction.

Rays drawn from the center of rotation to a point and their image form the __________ of rotation.

The angle of rotation is nothing but the angle between the line that joins center of rotation to the real point and the line that joins the center of rotation and the image point.