Question

22. The point P (-5, 1) is rotated about the origin
through 1800 . Find the coordinates of its image.
A. (5,1) B. ( 5,-1)
C. (-1, 5) D. (-5,-1)

Answer 1

Given : The point P (-5, 1) is rotated about the origin through 180°

To find :  the coordinates of its image.

Solution:

The point P (-5, 1) is rotated about the origin through 180°

rotation about the origin through 180° in clockwise or anticlockwise result into

Same point

Rotation of a point through 180°, about the origin when a point M (h, k) is rotated about the origin O through 180° in anticlockwise or clockwise direction, it takes the new position M' (-h, -k).

given point  (-5 , 1)

so point after rotation  = -(-5)  , - 1

= (5 , - 1)

Hence option B    ( 5,-1) are the coordinates of  image of  P (-5, 1)  

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