Schaum's Outline of Theory and Problems of Beginning Calculus

12 COORDINATE SYSTEMS IN A PLANE[CHAP. 2Now by the Pythagorean theorem,and by the distance formula (24,ALGEBRA For any positive numbers U, U,--Hence, MA = MC. [For a simpler, geometrical proof, see Fig. 2-7(b); MD and BC are parallel.]Supplementary Problems2.4 In Fig. 2-8, find the coordinates of points A, B, C, D, E, and F.2.5 Draw a coordinate system and mark the points having the following coordinates: (1, - l), (4, 4), (-2, -2),(3, - 31, (0,2), (2,0), ( - 4, 1).2.6 Find the distance between the points: (a) (2, 3) and (2, 8); (b) (3, 1) and (3, -4); (c) (4, 1) and (2, 1);(4 ( - 3,4) and (54).2.7 Draw the triangle with vertices A(4, 7), B(4, - 3), and C( - 1, 7) and find its area.2.8 If ( - 2, - 2), ( - 2,4), and (3, - 2) are three vertices of a rectangle, find the fourth vertex.EeFFig. 2-8