Math 348 (2007): Assignment #2: Solutions
1. We proved in class that if point P is outside the circle , then the power of P with respect 2 to equals P T , where T is a point on such that the line P T is tangent to at T . Hence we have p = 2 , where is the
MATH 348 TOPICS IN GEOMETRY
1.
ASSIGNMENT 2 SOLUTIONS
(a) Suppose that ABCD is a square with the vertices labelled counterclockwise. Let
G AC denote the glide reection consisting of a reection in the line AC followed by a translation which takes A to C;
T
Math 348 - Topics in Geometry
Assignment 1
Solutions
1.
(a) Drop an altitude at C (call it h).
(c) The rst identity follows trivially from the area
of a triangle as half the base times height and a
substitution for sin . That is,
C
b
a
2 | ABC | = 2
h
hc
MATH 348 TOPICS IN GEOMETRY
FAMILY NAME
DO
GIVEN NAME(S)
NORMAN
STUDENT NUMBER
NOT APPLICABLE
DATE
Sunday 16 May, 2010
START TIME
6:00pm
FINISH TIME
7:00pm
EXAMINER
SAMPLE MIDTERM TEST SOLUTIONS
Norman Do
Instructions
1. Fill in your name and student numb
MATH 348 TOPICS IN GEOMETRY
1.
ASSIGNMENT 3 SOLUTIONS
(a) Show that at a party with ve people, it is not necessarily true that there exist three people who all
know each other or three people who all dont know each other.
(b) Note that if you take the dua