Mathematics

A point (5, -3) is first reflected in x-axis and the resulting point is reflected in origin. Write the co-ordinates of the final point.

Symmetry

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Answer

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

Reflection of (5, -3) in x-axis = (5, 3).

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

Reflection of (5, 3) in origin = (-5, -3).

Hence, the co-ordinates of the final point = (-5, -3).

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