Mathematics
Find the image of each of the following points under reflection in x-axis :
(i) (6, 3)
(ii) (7, -5)
(iii) (-4, 3)
(iv) (-2, -4)
(v) (0, 3)
Answer
(i) We know that,
Rule to find reflection of a point in x-axis :
Retain the abscissa i.e. x-coordinate.
Change the sign of ordinate i.e. y-coordinate.
∴ Point (6, -3) is the image of on reflection.
Hence, (6, -3) is the image of the point (6, 3) on reflection in x-axis.
(ii) We know that,
Rule to find reflection of a point in x-axis :
Retain the abscissa i.e. x-coordinate.
Change the sign of ordinate i.e. y-coordinate.
∴ Point (7, 5) is the image on reflection.
Hence, (7, 5) is the image of the point (7, -5) on reflection in x-axis.
(iii) We know that,
Rule to find reflection of a point in x-axis :
Retain the abscissa i.e. x-coordinate.
Change the sign of ordinate i.e. y-coordinate.
∴ Point (-4, -3) is the image on reflection.
Hence, (-4, -3) is the image of the point (-4, 3) on reflection in x-axis.
(iv) We know that,
Rule to find reflection of a point in x-axis :
Retain the abscissa i.e. x-coordinate.
Change the sign of ordinate i.e. y-coordinate.
∴ Point (-2, 4) is the image on reflection.
Hence, (-2, 4) is the image of the point (-2, -4) on reflection in x-axis.
(v) We know that,
Rule to find reflection of a point in x-axis :
Retain the abscissa i.e. x-coordinate.
Change the sign of ordinate i.e. y-coordinate.
∴ Point (0, -3) is the image on reflection.
Hence, (0, -3) is the image of the point (0, 3) on reflection in x-axis.
Related Questions
A point lies on y-axis at a distance of 5 units from x-axis. What are the co-ordinates of this point ?
What do you mean by the line :
(i) x = 0
(ii) x = 4
(iii) y = 0
(iv) y = 4
(v) x = -3
(vi) y = -2
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)
Find the image of each of the following points when reflected in the origin :
(i) (-5, 8)
(ii) (-6, -4)
(iii) (7, 4)
(iv) (9, 0)
(v) (0, 7)