Mathematics
Find the reflection of the following points in origin :
(i) (5, 4)
(ii) (5, -4)
(iii) (-5, 4)
(iv) (-5, -4)
(v) (0, 4)
Symmetry
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Answer
(i) When a point is reflected in origin, the sign of its x-coordinate(abscissa) and y-coordinate (ordinate) both changes.
Reflection of (5, 4) in origin = (-5, -4).
(ii) When a point is reflected in origin, the sign of its x-coordinate(abscissa) and y-coordinate (ordinate) both changes.
Reflection of (5, -4) in origin = (-5, 4).
(iii) When a point is reflected in origin, the sign of its x-coordinate(abscissa) and y-coordinate (ordinate) both changes.
Reflection of (-5, 4) in origin = (5, -4).
(iv) When a point is reflected in origin, the sign of its x-coordinate(abscissa) and y-coordinate (ordinate) both changes.
Reflection of (-5, -4) in origin = (5, 4).
(v) When a point is reflected in origin, the sign of its x-coordinate(abscissa) and y-coordinate (ordinate) both changes.
Reflection of (0, 4) in origin = (0, -4).
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