the reflection of point P (-2,3) in the y- axis is
Answers
Answer:
If we reflect about a line that is parallel to the x-axis, then the x-coordinate of the point (that is reflected) will remain the same, thus the image of (2,-4) has x-coordinate 2 and thus the point is of the form (2,b).
Answer:
To find the co-ordinates in the adjoining figure, y-axis represents the plane mirror. M is the any point whose co-ordinates are (h, k) in the rectangular axes in first quadrant.
Reflection in y-axis
4Save
Observe when point M is reflected in y-axis, the image M' is formed in the second quadrant whose co-ordinates are (-h, k).
Thus we conclude that when a point is reflected in y-axis, then the y-co-ordinate remains same and then x-co-ordinate become negative.
Thus, the image of M (h, k) is M' (-h, k).
Rules to find the reflection of a point in the y-axis:
(i) Change the sign of abscissa i.e., x-coordinate.
(ii) Retain the ordinate i.e., y-coordinate.
Examples to find the co-ordinates of the reflection of a point in y-axis:
1. Write the co-ordinates of the image of the following points when reflected in y-axis.
(i) (-4 , 3)
(ii) (3, 5)
(iii) (-1, -6)
(iv) (5, -7)
Solution:
(i) The image of (-4 , 3) is (4 , 3).
(ii) The image of (3, 5) is (-3, 5).
(iii) The image of (-1 , -6) is (1, -6).
(iv) The image of (5, -7) is (-5, -7).
2. Find the reflection of the following in y-axis.
(i) P (-7, 9)
(ii) Q (-3, -6)
(iii) R (4, 8)
(iv) S (5, -7)
Solution:
(i) The image of P (-7, 9) is P' (7, 9).
(ii) The image of Q (-3, -6) is Q' (3, -6).
(iii) The image of R (4, 8) is R' (-4, 8).
(iv) The image of S (5, -7) is S' (-5, -7).
Step-by-step explanation:
I hope this answer is correct if it is wrong please ask me I will give you another answer