Question

R'Find the composition of transformationsthat map APQR to APQ'R'.QT RRotate [?] degrees aboutthe origin and then translate(unit(s) [ ].90180

Answer 1

For a transformation like the one shown in the graph, note that the points have switched as follows;

`P(x,y)\Rightarrow P^(\prime)(-y,x)`

This is a 90 degree anticlockwise rotation about the origin.

That means point P would now be translated as follows;

`\begin{gathered} P(1,1)\Rightarrow P^(\prime)(-1,1) \\ Q(2,1)\Rightarrow Q^(\prime)(-1,2) \\ R(2,3)\Rightarrow R^(\prime)(-3,2) \end{gathered}`

After this rotation, the coordinates have now moved from their position one unit upwards. That now makes the final coordinates;