10-31. ] OMOMKTHIC CO 41 



Tlu fust two j.rolil.MiiM will !M tn-ated in the two 



, \\lnlr tl,.- remaining chapters of Part I will 



be OODOernrd rli-lly with the thud |.iol,l-m. In this a|.|li- 

 m-tliods, lio\\-\rr, only al^rlir.ur .-.jua- 



t and second degrees will for the moMt jwrt 



be c I. In Cliapt'-r Mil ll ::.. . I : . : study of 



i ant equations and curves. 



EXAMPLES ON CHAPTER II 



tie area of the quadrilateral whose vertices are the points 

 i), (-1, 10). ' Draw the fi K 



the lengths of the sides and the altitude of the wosceles 

 ;le (1, 5), (.", 1), (-9. -0). Find the area \y two different methods, 

 so that the results u -a check on the other. 



:,.! tl.o .-.,, : .linatofl of the point that divides the line from 

 i; MI the rat. m the ratio - 



li.i\\ 



4 .fa utraijjht line is at tl.- [M.it.t (-3. 4), and the 



) in the ratio I . the oth. 



5 T,. line from (-0, -0) to (3. -1) is divided in the ratio 4 : 5; find 

 the distance of the point <.f .IIVIMOH from the point (-4, 6). 



6 I in.l t he area and also the peri meter of the triangle whose vertices 

 are the poinU (a, 00), (.'>, 120), and (8, 30). 



7 9 V the figure formed hy joining the middle 

 ^ of the sides of any quadrilateral is a parallelogram. 



B - that the points (1. MJ), and (2,- V8) are e.jui,li^ 



taut from the origin. 



.ow that the poinU (1. 1). (-1. - 1). and (Wd, -V5) form an 

 equilateral triangle. Find t lie slopes of iU sides. 



10 Prove analytically that the diagonals of a rectangle are equal 



11 si,,,* tl >r the points (0, -1), (2, 1), (0, 3), and (-2, 1) are the 

 Tertices of a square. 



