In each of the following cases, write the transformations as required:

Object	Image	Transformation
(i) (4, -3)	(-4, -3)	Reflection in y-axis
(ii) (-4, 3)	(-4, -3)	……………
(iii) (-4, -3)	(4, 3)	……………
(iv) (0, -7)	(0, 7)	……………
(v) (8, -5)	(-8, 5)	Rotation through 180° about origin or reflection in origin
(vi) (-3, 2)	(3, -2)	……………
(vii) (5, 8)	(-8, 5)	……………
(viii) (-7, 4)	(4, 7)	……………
(ix) (8, 0)	(0, -8)	……………
(x) (3, -2)	(-3, 2)	……………

(ii) When a point is reflected in x-axis, the sign of its y-coordinate changes.

Reflection of (-4, 3) in x-axis = (-4, -3).

(iii) When a point is reflected in origin, the sign of its x-coordinate(abscissa) and y-coordinate (ordinate) both changes.

Reflection of (-4, -3) in axis = (4, 3).

(iv) When a point is reflected in x-axis, the sign of its y-co-ordinate (ordinate) changes.

Or

When a point is reflected in origin, the sign of its x-coordinate(abscissa) and y-coordinate (ordinate) both changes.

Reflection of (0, -7) in x-axis or origin = (0, 7).

(vi) When a point is reflected in origin, the sign of its x-coordinate(abscissa) and y-coordinate (ordinate) both changes.

Or

When a point P(x, y) is rotated through 180°, about the origin O, we get the point P' = (-x, -y).

Rotation through 180° about origin or reflection in origin of (-3, 2) = (3, -2).

(vii) When a point P(x, y) is rotated through 90° (anticlockwise) about the origin O, we get the point P' = (-y, x).

Rotation through 90° about origin in the anticlockwise direction of (5, 8) = (-8, 5).

(viii) When a point P(x, y) is rotated 90° (clockwise) about the origin O, we get the point P' = (y, -x).

Reflection of (-7, 4) in y-axis = (4, 7).

(ix) When a point P(x, y) is rotated through 90° (clockwise) about the origin O, we get the point P' = (y, -x).

Reflection of (8, 0) in y-axis = (0, -8).

(x) When a point is reflected in origin, the sign of its x-co-ordinate(abscissa) and y-coordinate (ordinate) both changes.

Or

When a point P(x, y) is rotated through 180°, about the origin O, we get the point P' = (-x, -y).

Rotation through 180° about origin or reflection in origin of (3, -2) = (-3, 2).