Question

Hii so i have to do compositions of transformations but i don't understand. I have; A:(-3,4) B: (2,8) and C(5,1) i need to get A'B'C' and A''B''C'' using T-3,5°ryaxis (∆ABC) but i dont understand how to do that can someone help me out ?​

Answer 1

The compositions of transformations are A'(-6, 9) B' (-1, 13) C'(2, 6) and A''(6, 9) B'' (1, 13) C''(-2, 6)

How to perform the compositions of transformations

From the question, we have the following parameters that can be used in our computation:

A:(-3,4) B: (2,8) and C(5,1)

Also, we have

T(-3,5)

ryaxis

The translation T(-3,5) means

(x, y) = (x - 3, y + 5)

So, we have

A'(-3 - 3, 4 + 5) B' (2 - 3, 8 + 5) C'(5 - 3, 1 + 5)

Evaluate

A'(-6, 9) B' (-1, 13) C'(2, 6)

Next, we have

ryaxis

This means that

(x, y) = (-x, y)

So, we have

A''(6, 9) B'' (1, 13) C''(-2, 6)

Hence, the compositions of transformations are A'(-6, 9) B' (-1, 13) C'(2, 6) and A''(6, 9) B'' (1, 13) C''(-2, 6)