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Question

Find the coordinates of the image of the point (5,3) under (i) reflection in the x- axis (ii) reflection in the y- axis and (iii) reflection in the origin.


A

(i)(5,3)(ii)(5,3),(iii)(5,3)

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B

(i)(5,3)(ii)(5,3),(iii)(5,3)

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C

(i)(5,3)(ii)(5,3),(iii)(5,3)

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D

(i)(5,3)(ii)(5,3),(iii)(5,3)

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Solution

The correct option is B

(i)(5,3)(ii)(5,3),(iii)(5,3)


i) When a point is reflected in the x axis, the sign of its ordinate changes. Hence, the coordinates are (5,3).
ii) When a point is reflected in the y axis, the sign of its abscissa changes. Hence, the coordinates are (5,3).
iii) When a point is reflected in the origin, the sign of its ordinate and abscissa both changes. Hence, the coordinates are (5,3).


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