ASSIGNMENT 2: UNIT 2 AND UNIT 3 PROBLEMS CS 452 Winter 2022 Problem 1: Draw a line using the DDA algorithm from (0,0) to (5,8). (with the aid of the graph, the table shows the result) Problem 2: Draw a line using Brensenham's algorithm from (2,3) to (12,8). (with the aid of the graph, the table shows the result) Problem 3: Find the points on a circle of its octants with the circle centered at (5,5) and has a radius of 8 units. (with the aid of the table shows the result) Problem 4: Translate the triangle ABC has vertices [A(8,6),B(8,9),C(4,6)]+9 units in the x-direction and 4 in the y-direction. (with the aid of the graph, show the result) Problem 5: Determine the coordinate of the vertices of triangle ABC[A(8,7),B(3,7),C(4,3)] after a counterclockwise rotation of 180 around the origin. (with the aid of the graph, show the result) Problem 6: Rotate the triangle ABC[A(2,0),B(0,3),C(3,3)]180 clockwise about the point (1,1) (with the aid of the graph, show the result) Problem 7: Consider a square with a left-bottom corner at (4,4) and a right-top corner at (8,8) and apply the transformation which makes its size half. (with the aid of the graph, show the result) Problem 8: Consider a triangle whose vertices are ABC[A(2,0),B(0,3),C(3,3)]. Find the transformation matrix and the transformed vertices for rotation of 90 anticlockwise about the origin and apply the transformation which doubles its size (with the aid of the graph, show the result) Problem 9: Consider a square with a left-bottom corner at (4,4) and a right-top corner at (8,8) and apply the transformation which makes its size half such that its center remains the same