All problems should be done WITHOUT a calculator unless otherwise indicated!!!!2.1 Homework Topics: Plotting points, Distance formula, Midpoint Formula, Pythagorean Theorem Solutions to equations, graphing equations, x & y intercepts, symmetry, circles 1. Plot the following points on the given graph.( ) ( ) ( ) ( )2,5 3, 2 1, 4 3, 2A B C D- - - -2. Find the distance from point A to point B3. Find the coordinates of the midpoint of the line segment joining points A and B4. Find the distance from point C to point D5. Find the coordinates of the midpoint of the line segment joining points C and D6. Is a triangle with side lengths 8, 15 and 17 a right triangle?7. A right triangle has its two shortest sides with lengths 7 and 24, what is the length of the longest side?8. Without graphing, determine whether or not the point ( )2,3-lies on the graph of each of the following equations.A) 2 3 5x y- = B) 21y x= -C) 2 213y x- =9. Complete the table. Use the resulting solution points to graph the equation.A) 243y x=- +x 0 3 -3 3/2 -3/2y(x , y)B) 24y x=- +x 0 1 -1 2 -2y(x , y)10. Write down the X and Y Intercepts for each graph shown below. Be sure to write your answers as ORDERED PAIRS NOT just single numbers.X int = Y int = X int = Y int = 11. Use the algebraic tests for symmetry to check for symmetry with respect to the x-axis, y-axis and origin.A) 33 4y x x= -B) 2 45 2 3y x x= - +12. Write the standard for m of the equation of a circle with……A) Center ( )3, 2- and Radius = 5 B) Endpoints of a diameter ( ) ( )2,5 4, 3and-