Mathematics
The point P(-6, -3) on reflection in y-axis is mapped on P'. The point P' on reflection in the origin is mapped on P".
(i) Find the co-ordinates of P'.
(ii) Find the co-ordinates of P".
(iii) Write down a single transformation that maps P onto P".
Reflection
2 Likes
Answer
(i) We know that,
Rule to find reflection of a point in y-axis :
Change the sign of abscissa i.e. x-coordinate.
Retain the ordinate i.e. y-coordinate.
∴ Point P'(6, -3) is the image of point P(-6, -3) on reflection in y-axis.
Hence, P' = (6, -3).
(ii) We know that,
Rule to find reflection of a point in origin :
Change sign of both the x-coordinate and y-coordinate.
∴ Point P"(-6, 3) is the image of point P'(6, -3) on reflection in origin.
Hence, P" = (-6, 3).
(iii) P(-6, -3) ⇒ P"(-6, 3)
A transformation that keeps the x-coordinate the same and changes the sign of the y-coordinate is a reflection in the x-axis.
Hence, single transformation that maps P into P" is reflection in the x-axis.
Answered By
1 Like
Related Questions
Find the image of each of the following points under reflection in the line x = 0 :
(i) (4, 7)
(ii) (-3, -5)
(iii) (-8, 6)
(iv) (5, 0)
(v) (0, -2)
Find the image of each of the following points under reflection in the line y = 0 :
(i) (6, -7)
(ii) (-8, 4)
(iii) (-3, -8)
(iv) (7, 9)
(v) (0, -6)
The point P(4, -7) is reflected in the origin to point P'. The point P' is then reflected in x-axis to the point P".
(i) Find the co-ordinates of P'.
(ii) Find the co-ordinates of P".
(iii) Write down a single transformation that maps P onto P".
The vertices of a Δ ABC are A(2, -3), B(-1, 2) and C(3, 0). This triangle is reflected in x-axis to form ΔA'B'C'. Find the co-ordinates of A', B' and C'. Are the two triangles congruent?