Needing help on my geometry final, I have been in and out of the hospital, any help is appreciated. 1. Point A(-5,8) is reflected across the line y=x, what are the coordinates of A? Show work

2. Suppose 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?

5. In the attached graph, solve for x. Show your work.

6. What is the center and radius of the circle that has the equation (x + 7)² + (y - 4)² =49. Explain your answer.

7. What is the area of a rhombus whose diagonals have legnths d^1 = 12 inches and d²=14 inches? Show your work