Assigned: Mon. 1/10 Due: Wed. 1/12
Read section 1.3, do problems 1,2,3,4
Write out the details of the proof of corollary (1.12) from the class notes.
Read sections 1.4 and 1.5
Look over sections 1.6, 2.1, and 2.2
Assigned: Wed. 1/12 Due: Wed. 1/19
From section 1.5, do problems 1a, 1c, 2b, 2c, 2d, 5.
Extra problem: Find all triples of parallel lines in the Z/3Z-coordinate plane. For each triple, show that the lines can be written in the form
ax + by = c
ax + by = d
ax + by = e
where c, d, and e are pairwise unequal.
Also, for each triple, plot each line in the triple on the coordinate plane. (You should have one drawing for each triple. You may draw the lines in whatever way makes you happiest!)
Read sections 1.6, 2.1, and 2.2
Assigned: Fri. 1/14 Due: Wed. 1/19
Suppose that ABC and DEF are two triangles with angle A corresponding to angle D, angle B to angle E, and angle C to angle F. If angle A = angle D and AB/DE = AC/DF, show that the two triangles are similar. You may use any resources you want.
From section 1.6, do problem 1.
From section 2.1, do problems 3, 4, 7 and 8.
Look over sections 2.2 and 2.3.
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