I have done the first 3 dot points. Could someone help me with last 3 dot points please.

Plot the points A(1, 1) B(3, 3) C(5, 5) D(3, 5). Draw line segments AC, CD, and DB. . Write each point (x . y) as a 2 x 1 Matrix X e.g. A = y o Given Q : 1 0 , calculate: A' = QA B' = QB C' = QC D' = QD . Represent the 2 x 1 matrices A', B', C' and D' as points and plot them on the same axis. Draw the line segments A'C' , C 'D' and D'B' Make a conjecture about a transformation that would map ABCD onto A'B'C'D'. Fully describe the nature of the transformation. Is it reasonable to apply this conjecture to the transformation of every possible shape? What are the limitations, if any? Discuss. What assumptions have been made in the application of this transformation