Mathematics

Find the image of each of the following points under reflection in y-axis :

(i) (2, 6)

(ii) (-3, 8)

(iii) (-5, -3)

(iv) (0, -1)

(v) (4, 0)

Reflection

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Answer

(i) We know that,

Rule to find reflection of a point in y-axis :

Change the sign of abscissa i.e. x-coordinate.

Retain the ordinate i.e. y-coordinate.

∴ Point (-2, 6) is the image on reflection.

Hence, (-2, 6) is the image of the point (2, 6) on reflection in y-axis.

(ii) We know that,

Rule to find reflection of a point in y-axis :

Change the sign of abscissa i.e. x-coordinate.

Retain the ordinate i.e. y-coordinate.

∴ Point (3, 8) is the image on reflection.

Hence, (3, 8) is the image of the point (-3, 8) on reflection in y-axis.

(iii) We know that,

Rule to find reflection of a point in y-axis :

Change the sign of abscissa i.e. x-coordinate.

Retain the ordinate i.e. y-coordinate.

∴ Point (5, -3) is the image on reflection.

Hence, (5, -3) is the image of the point (-5, -3) on reflection in y-axis.

(iv) We know that,

Rule to find reflection of a point in y-axis :

Change the sign of abscissa i.e. x-coordinate.

Retain the ordinate i.e. y-coordinate.

∴ Point (0, -1) is the image on reflection.

Hence, (0, -1) is the image of the point (0, -1) on reflection in y-axis.

(v) We know that,

Rule to find reflection of a point in y-axis :

Change the sign of abscissa i.e. x-coordinate.

Retain the ordinate i.e. y-coordinate.

∴ Point (-4, 0) is the image on reflection.

Hence, (-4, 0) is the image of the point (4, 0) on reflection in y-axis.

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