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Step-by-step explanation:
take- graph paper : the mathmatics classes - 10 th is chapter -2
Given Coordinates are
- O (0, 0)
- A (- 4, 4)
- B ( - 3, 0)
- C ( 0, - 3 )
Now, we know that,
When any coordinate P (x, y) is reflected in y-axis, then the image P' is formed in the second quadrant whose co-ordinates are (- x, y).
Thus, from this we concluded that when a point is reflected in y-axis, then the y-co-ordinate remains the same and we have to change the sign of x - co-ordinate.
Thus, the image of P (x, y) is P' (-x, y).
Now, Reflection of A (- 4, 4) under y - axis is A' (4, 4)
Reflection of B ( - 3, 0 ) under y - axis is B' ( 3, 0 )
The figure thus obtained OABCB'A'
Having line of symmetry along y - axis.
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Additional Information
Rules to find the reflection of a coordinate in the x-axis:
(i) Same sign of the abscissa i.e., x-coordinate.
(ii) Change the sign of the ordinate i.e., y-coordinate.
Rules to find the reflection of a point in the y-axis:
(i) Change the sign of abscissa i.e., x-coordinate.
(ii) same sign of the ordinate i.e., y-coordinate.