Here you can find what has been assigned for homework. Assigned homework is typically due on the following problem session.
Assigned 11/24 Prepare a 5 - 7 minute presentation of your favorite result, proof, theme, postulate, etc. from the course.
Handout All problems.
Handout All problems.
Assigned 10/27 Problems 10.3.1 and 10.3.2.
Assigned 10/29 Prove: Given three lines. There is a line that intersects all three of them.
Assigned 10/31 Prove Theorem 11.1.12: Every trapezoid is a convex quadrilateral.
Assigned 11/03 Two problems on the handout.
Handout All problems.
Assigned 10/10: Read about vertical pairs. Read sections 6.3 and 6.4.
Show that SAS and ASA are equivalent under our first four postulates.
Prove part ii) and iii) of SSS.
Assigned 10/20: Read Chapter 8 and 9.
1) Prove that the hypotenuse of a right triangle is longer than either leg.
2) Prove: Let F be the foot of the perpendicular from A to the line BC. If BC is the longest side of the triangle ABC, then F is between B and C.
3) State the converse of the theorem in 2).
4) Is 3) true or false? Proof? Counterexample? (Renee and Daniel will present solutions to 1) - 4).)
5) Prove: Given two lines and a transversal. If a pair of alternate interior angles are congruent, then the lines are parallel.
Assigned 09/26: Problems 4.3.1, 4.4.3, 4.4.4. Read sections 4.5 and 4.6.
Assigned 09/29: Prove that an angle is a right angle if and only if its measure is 90.
Show that if P is a point on line L, then there exists a unique line through P that is perpendicular to L. (Peter and Naoto will present their solutions.)
Handout All problems.
Assigned 09/08: Problem 3.4.6.
Assigned 09/10: Problems 3.4.1, 3.4.2.
Assigned 09/12: Prove Theorems 1, 2, 3, 4, and 5 (page 66).
Assigned 09/15: Prove Theorems C-3 and C-4 (page 70).
Do problems about the Taxicab distance on the handout. (Neel and Andrew will present their solutions.)
Handout All problems.
Assigned 08/27: Prove statement A) Two distinct lines intersect in at most one point in "point/line language".
Assigned 08/29: Read Chapter 1 (let me know if there are things that you do not understand).
Study the Space Incidence Postulates on pages 44 - 45.
Do problems 2.1.4, 2.1.6, and 2.1.7.
Describe at least two models satisfying the Plane Incidence Postulates different from the models we have seen in class. One model should have unique parallels, and one should have many parallels. (Ayesha and Robyn will present their solutions.)