A point P (3, 5) is reflected in the x - axis and then in the origin. Find the co-ordinates of image P'. $[2 M a r k s]$

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Solution

We know, when any point (x, y) is reflected in x-axis, the sign of its ordinate changes.
$∴$ Reflection of point P (3, 5) in the x-axis is (3, -5).
$[1 M a r k]$

Also, we know when any point (x, y) is reflected in the origin, the sign of its abscissa and ordinate both changes.
$∴$ Reflection of (3, -5) in origin is P' (-3, 5).
$[1 M a r k]$

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$[3 M a r k s]$

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A point P (3, 5) is reflected in the x - axis and then in the origin. Find the co-ordinates of image P'. [2 Marks]

A point P (3, 5) is reflected in the x - axis and then in the origin. Find the co-ordinates of image P'. $[2 M a r k s]$