Hello BrigitteYes. Good work!Correct. But you have then used the coordinates of in the next part of your working:

If so, I then tried to make the formal definition and I arrived with (but I can not show the right arrow shape!):

r(θ): R*2-->R*2

(x,y) |--> (x cos θ - y sin θ, x sin θ + y cos θ)The formal definition will simply leave and alone, and just use the values of and that you have found:So I replace all of this with the values at the above paragraph (a lot of typing of the surds, so I don't be putting it all here the working out). We do not show matrices as we are not covering them yet in class, so I must always write with surds.

I finish with the (x,y) values of

(25*sqrt(29)/29 + 45*sqrt(29)/29, 10*sqrt(29)/29 - 10*sqrt(29)/29)

This makes coordinates ( (sqrt(29), 0).

-- But this does not look correct to me. Particular on the drawing I made. Please advise if I am doing this correct.You have already worked out the image of A': , by putting in the formula above. Now use the coordinates of in the same way to get the image of .(4) Find the coordinates of the images of A' and C' under the rotation rθ. Give your answers as exact values. This means surds.

- But I just don't know how to do this question. I wrote a lot of workings and find different answers each time and they don't look right on the drawing that I made of the triangle in the x axis.

-- Can you please help me as I am spending so many hours on this today and yesterday and I go not very far!

The translation is:(5) Write down a formal definition of the composite transformation: that is the result of the translation followed by the rotation above.

- I can not make this definition without getting the above question 2 well done.

Please help someone who can!

BrigitteSo when we follow this by the rotation, we get:

You complete it!

Grandad