Hint for (b) (i):
Notice that the transformation f which maps T onto S is a symmetry with respect to r : x + y = 0 .
Try (b) (ii).
I have made this account purely to find the way to answer this question, I have asked my maths teacher and he couldn't answer, so please can anyone answer it to me? thank you
The question I need to answer is the (b) section, please show me the working and explain it like you would to a five year old....
according to the mark scheme, the answer is:
(the answers are matrices)
please answer asap, I have attached the question
thanks for replying :-) , but I don't understand, do you mean T onto R? and how does that help me to find the required 2 by 2 matrix to map the triangle.
in the mark scheme it said that I would get one mark for showing simutaneous equations, but I have no idea what simutaneous equations have to do with the question...... can you please tell me the method to find the matrix? thanks
thats a good method! thanks.
so, just a recab (please correct me if I am wrong)
x and y are switched and they both become into negatives, and to do that the matrix :
is used, ok, now I have an idea how to solve these kind of questions, but in other occasions, it is harder to guess the matrix, in b(ii), for example, point (-6, 2) became ( -6, 4) , so x remains the same and y is doubled, but how do I guess the matrix now?