The point A(-3, 2) is reflected in the x-axis to the point A'. Point A' is then reflected in the origin to point A".

(i) Write down the co-ordinates of A".

(ii) Write down a single transformation that maps A onto A".

Open in App

Solution

(i)
The reflection in x-axis is given by
Mx (x , y) = (x, -y)

A'= reflection of A (-3 , 2) in the x-axis = (-3 , -2)

The reflection in origin is given by
MO (x, y) = (-x, -y)

A''= reflection of A' (-3, -2) in the origin = (3 , 2)

(ii)
The reflection in y-axis is given by
My (x , y) = (-x, y)

The reflection of A (-3,2) in y-axis is (3,2)
Thus the required single transformation is the reflection of A in the y-axis to the point A''.

Suggest Corrections

Similar questions

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".

(i) Point P (a, b) is reflected in the x-axis to P' (5, -2). Write down the values of a and b.

(ii) P" is the image of P when reflected in the y-axis. Write down the co-ordinates of P".

(iii) Name a single transformation that maps P' to P".

The triangle ABC, where A is (2, 6), B is (-3, 5) and C is (4, 7), is reflected in the y-axis to triangle A'B'C'. Triangle A'B'C' is then reflected in the origin to triangle A" B" C".

(i) Write down the co-ordinates of A", B" and C".

(ii) Write down a single transformation that maps triangle ABC onto triangle A" B" C".

A point A is reflected in the origin $(M_{0})$ and then in y-axis $(M_{y})$ after which the new point is A'. Which single transformation maps A onto A' ?

A triangle $A B C$ where $A (- 2, 3), B (4, - 4) a n d C (6, - 7)$ is reflected in the x- axis onto $△ A^{'} B^{'} C^{'}$ and then is reflected in the origin onto $△ A " B " C "$ .Write down the co-ordinates of (i) $A^{'}, B^{'}, C^{'}$ and (ii) $A ", B ", C "$ .

Join BYJU'S Learning Program

The point A(-3, 2) is reflected in the x-axis to the point A'. Point A' is then reflected in the origin to point A". (i) Write down the co-ordinates of A". (ii) Write down a single transformation that maps A onto A".

The point A(-3, 2) is reflected in the x-axis to the point A'. Point A' is then reflected in the origin to point A".

(i) Write down the co-ordinates of A".

(ii) Write down a single transformation that maps A onto A".