1. Point A(-5,8) is reflected across the line y=x. What are the coordinates of A'? Show your work and explain.
2. Suppose point P(4,-9) is translated according to the rule (x,y)→(x+3,y-2). What are the coordinates of P'? Explain.
3. How many lines of symmetry does a regular heptagon have? Explain your answer.
4. Suppose the point B(2,8) is reflected across the x-axis and then translated according to the rule (x,y)→(y,x+4). What are the coordinates of B''? Show your work and explain.