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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Solution

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

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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".

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

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".

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