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The point A(4, 6) is first reflected in the origin to point A'. Point A' is then reflected in the y-axis to point A'' .
(i) Write down the co-ordinates of A''.
(ii) Write down a single transformation that maps A onto A".
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Answers & Comments
(i) The reflection in origin is given by MO (x, y) = (-x, -y).
A’ = reflection of A (4, 6) in the origin = (-4, -6)
The reflection in y-axis is given by My (x, y) = (-x, y).
A” = reflection of A’ (-4, -6) in the y-axis = (4, -6)
(ii) The reflection in x-axis is given by Mx (x, y) = (x, -y).
The reflection of A (4, 6) in x-axis is (4, -6)
Thus, the required single transformation is the reflection of A in the x-axis to the point A”.
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Verified answer
Answer:
Coordinates of A' after reflection from origin =(-4,-6)
and after reflection from y axis coordinates becomes =A''=(4,-6)
(ii)single transformation which can directly transform is the reflection via X axis
Step-by-step explanation:
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