Winter 2005

MAT 301 Homework

1.  Section 4.2   #1,2
2.  Section 4.2   #3,4
3.  Section 4.2   #5,6
4.  Section 4.3   #15,16
5.  Section 4.3   #24,25
6.  Section 4.5   #2
7.  Trisect a 60 degree angle using a straightedge with one mark and a compass
8.  Section 4.5   #4
9.  Section 6.2   #3,4
10.Section 6.2   #8,9
11.Section 6.3   #1,3
12.Find the fallacy in the "construction" of the 5 by 13 rectangle on page 270
13.Extend to s ≤8 and check the table on page 276.
14.Section 7.3   #1
15.Section 7.3   #4
16.Section 7.3   #3(c)
17.Section 7.4   #1(a)(b)
18.Section 7.4   #2
19.Show how to construct a line through a given point parallel to a given line.
20.For proposition 29 on page 148, prove angle b = angle d.
21.Prove proposition 23: Lines l, m intersect at Q. P ≠ Q is on m. Construct a line l' so P is on l' and the alternate interior angles formed by the transversal m are equal.
22.Explain how to find the "line" joining any 2 points in the Poincar half-plane.
23.Section 11.3  #2,3