Mathematics
Find the co-ordinates of the following points under reflection in x-axis:
(i) (4, 8)
(ii) (3, -10)
(iii) (-2, 0)
Symmetry
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Answer
(i) When a point is reflected in x-axis, the sign of its y-coordinate (ordinate) changes.
Reflection of (4, 8) in x-axis = (4, -8).
(ii) When a point is reflected in x-axis, the sign of its y-coordinate (ordinate) changes.
Reflection of (3, -10) in x-axis = (3, 10).
(iii) When a point is reflected in x-axis, the sign of its y-coordinate (ordinate) changes.
Reflection of (-2, 0) in x-axis = (-2, 0).
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Related Questions
The point (-3, 2) is rotated about origin by 90° in the anticlockwise direction. The resulting point is:
(2, 3)
(2, -3)
(-2, -3)
(3, 2)
In each of the following cases, write the transformations as required:
Object Image Transformation (i) (4, -3) (-4, -3) Reflection in y-axis (ii) (-4, 3) (-4, -3) …………… (iii) (-4, -3) (4, 3) …………… (iv) (0, -7) (0, 7) …………… (v) (8, -5) (-8, 5) Rotation through 180° about origin or reflection in origin (vi) (-3, 2) (3, -2) …………… (vii) (5, 8) (-8, 5) …………… (viii) (-7, 4) (4, 7) …………… (ix) (8, 0) (0, -8) …………… (x) (3, -2) (-3, 2) …………… Find the reflection of the following points in y-axis:
(i) (9, 10)
(ii) (9, 0)
(iii) (0, 9)
Find the reflection of the following points in origin :
(i) (5, 4)
(ii) (5, -4)
(iii) (-5, 4)
(iv) (-5, -4)
(v) (0, 4)