Use a graph paper for this question.
A point P under reflection in y-axis is mapped onto P' (4,3).
a)find the coordinates of P
b)find the coordinates of the image of P under reflection in the line x=-1.
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Use a graph paper for this question.
A point P under reflection in y-axis is mapped onto P' (4,3).
a)find the coordinates of P
b)find the coordinates of the image of P under reflection in the line x=-1.
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Question:-
Use a graph paper for this question.
A point P under reflection in y-axis is mapped onto P' (4,3).
a)find the coordinates of P
b)find the coordinates of the image of P under reflection in the line x=-1.
Correct answer:-
=> (i) Given, reflection of P is P’ (-4, -3) in the origin
Thus, the co-ordinates of P will be (4, 3)
Now,
Draw a line y = -2, which is parallel to x-axis
(ii) From P, draw a perpendicular on y = -2 meetings it at Q
Produce PQ to P” such that QP” = PQ
Thus, P” will the image of P in the line y = -2
Hence, the co-ordinates of P” will be (4, -7).
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To find the coordinates of P, we need to use the property of reflection in y-axis. The reflection in y-axis changes the sign of the x-coordinate of a point, but keeps the y-coordinate the same. So, if P' has the coordinates (4, 3), then P must have the coordinates (-4, 3).
To find the coordinates of the image of P under reflection in the line x = -1, we need to use the property of reflection in a line. The reflection in a line maps a point to another point that is equidistant from the line and on the opposite side of it. So, if P has the coordinates (-4, 3), then the image of P under reflection in the line x = -1 must have the coordinates (2, 3).
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