Homework 12: Taxicab Geometry
Due Date: December 5, 2012
Direction: Show ALL your work and reasoning to receive full credit. Correct answers
without support work worth ZERO points. Let dT denotes Taxicab distance and dE
denotes Euclidean distance.
1. (a)
MATH 119
Homework 1
August 27, 2015
Experience with Geometry
My experience with geometry goes way back to middle school. I remember
taking a simple geometry class in seventh or eighth grade, but I do not really
remember my exact experiences. I have always
Corina Bottcher
MATH 119
Homework 1
August 27, 2015
Experience with Geometry
My experience with geometry goes way back to middle school. I remember
taking a simple geometry class in seventh or eighth grade, but I do not really
remember my exact experience
Corina Bottcher
Math 119
Homework 2
September 9, 2015
1. Find the length of the vector <1,2>.
12+22 =2.24
2. Find the length of the vector <1,2,3>.
12+22 +32 =3.74
3. Find the midpoint of the vector between <1,2,3> and <6,10,15>.
( 61 ) +( 102 ) + (153
MATH 119, B1 -Ideas in Geometry
Take home Exam I
Due October 5 , 2012
Instruction: Complete one of the three projects outlined below.
This Project is worth the remaining 300 points on your rst midterm exam. The due
date is nal, failure to turn in by 12pm
MATH 119, B1 -Ideas in Geometry
Take home Exam II
Due November 2, 2012
Instruction: Complete one of the three projects outlined below.
This Project is worth the remaining 300 points on your second midterm exam. The due
date is nal, failure to turn in by 1
MATH 119, B1 -Ideas in Geometry
Take home Exam III
Due December 12, 2012
Instruction: Complete one of the three projects outlined below.
This Project is worth the remaining 300 points on your second midterm exam. The due
date is nal, failure to turn in by
Homework 1: Set Theory and Tessllation
Due Date: September 5, 2012
Direction: Show ALL your work and reasoning to receive full credit. Correct answers
without support work worth ZERO points.
1. Explain the dierence between the symbols and . Then give an e
Homework 2: Tessellation and Proof without word
Due Date: September 12, 2012
Direction: Show ALL your work and reasoning to receive full credit. Correct answers
without support work worth ZERO points.
1. What are the 3 regular tessellations? In your own w
Homework 3: Proof without word and CS
construction
Due Date: September 19, 2012
Direction: Show ALL your work and reasoning to receive full credit. Correct answers
without support work worth ZERO points.
1. Explain the rule: odd+even=odd.
Explain in two d
Homework 4: Compass & Straightedge construction
Due Date: September 26, 2012
Direction: Show ALL your work and reasoning to receive full credit. Correct answers
without support work worth ZERO points.
1. Here is a piece of a regular 7-gon.
Construct the e
Homework 5: Folding and tracing Construction
Due Date: October 3, 2012
Direction: Show ALL your work and reasoning to receive full credit. Correct answers
without support work worth ZERO points.
1. Use folding and tracing construct a regular hexagon. Expl
Homework 6: Folding and tracing
Construction-Similar Triangle
Due Date: October 10, 2012
Direction: Show ALL your work and reasoning to receive full credit. Correct answers
without support work worth ZERO points.
1. The following picture shows a triangle
Homework 7: Coordinate Geometry - Constructible
Numbers
Due Date: October 17, 2012
Direction: Show ALL your work and reasoning to receive full credit. Correct answers
without support work worth ZERO points.
1. Use coordinate constructions to bisect a give
Homework 8: Constructible Number- Impossible
Construction
Due Date: October 24, 2012
Direction: Show ALL your work and reasoning to receive full credit. Correct answers
without support work worth ZERO points.
1. For each binary operation dened on a set be
Homework 9: Vector and Matrices
Due Date: October 31, 2012
Direction: Show ALL your work and reasoning to receive full credit. Correct answers
without support work worth ZERO points.
1. Using transformation of number line to help explain why (1) (1) = 1.
Homework 10: Vector and Matrices
Due Date: November 14, 2012
Direction: Show ALL your work and reasoning to receive full credit. Correct answers
without support work worth ZERO points.
1. Find a matrix that describe the reection over a)y -axis, b) line y
Homework 11:Symmetry
Due Date: November 28, 2012
Direction: Show ALL your work and reasoning to receive full credit. Correct answers
without support work worth ZERO points.
1. The ane transformation T , do the transform in the following order;
1. Dilate b
1. Use the Rearrangement Proof to prove the Pythagorean Theorem. (15 pts)
2. How many platonic solids are there? (5 pts)
a. 3
b. 8
c. 6
d. 5
3. Write Euclids 5th postulate. (10 pts)
4. The fifth postulate plus the four previous postulates makes up _ geome