The triangle ABC where A (1, 2), B (4, 8), C (6, 8) is reflected in the x-axis to triangle A’ B’ C’. The triangle A’ B’ C’ is then reflected in.the origin to triangle A”B”C” Write down the co-ordinates of A”, B”, C”. Write down a single transformation that maps ABC onto A” B” C”.

Open in App

Solution

Given,
The co-ordinates of ∆ ABC are A (1, 2) B (4, 8), C (6, 8)
These vertices are reflected in x- axis as A’, B’ and C’.
Hence, their co-ordinates are A’ (1, -2), B’ (4, -8) and C’ (6, -8).
Now,
A’, B’ and C’ are again reflected in origins to form an ∆A”B”C”.
Hence, the co-ordinates will be A” (-1, 2), B” (-4, 8) and C” (-6, 8)
The single transformation that maps ABC onto A” B” C” is y-axis.

Suggest Corrections

Similar questions

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".

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(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".

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