Math 335
Assignment - Chapter 3
Due: 10 March 2006

1 - 5 Textbook Problems

1) Page 89 # 8 2) Page 94 # 3 3) Page 101 # 1 4) Page 106 # 3

5) Page 117 # 10 6) Page 118 # 22 7) Page 118 # 25 8) Page 118 # 26

Other problems:

9) Is the following statement True or False? Each point on the bisector of an angle is equidistant from the sides of the angle. (Note: Distance from a point to a line is measured along the perpendicular drawn from the point to the line, or, equivalently, it is the shortest distance from the point to the line, as shown in the figure) If the statement is true, provide a neutral proof. If it is false, give a counter example.

10) Suppose that SMSG had chosen the ASA congruence condition for triangles as Postulate 15 rather than the SAS condition. SAS would then have to be included as a theorem. Is this possible? That is, can SAS be proven as a theorem using ASA as a postulate? If so, give the proof. If not, explain how you can be sure.