Friday, January 30, 2009
Thursday, January 29, 2009
Wednesday, January 28, 2009
Homework due 01/28/09
Folks, below is the diagram that you must use to prove the concurrence of the altitudes of a triangle. Remember that the dotted lines are generated by making auxiliary lines from the vertices of the triangle such that each line is parallel to the side opposite each vertex. These auxiliary lines form a triangle of their own. Now, remember that your proof cannot
(a) assume the concurrence of the altitudes when proving precisely that and
(b) will employ the use of the theorem that the perpendicular bisectors of a triangle are concurrent at a point that is equidistant from the vertices.
Note: Please do not look at the book for this proof; you'll take all the fun out of proving it yourself!
(a) assume the concurrence of the altitudes when proving precisely that and
(b) will employ the use of the theorem that the perpendicular bisectors of a triangle are concurrent at a point that is equidistant from the vertices.
Note: Please do not look at the book for this proof; you'll take all the fun out of proving it yourself!
Wednesday, January 21, 2009
Group #3 Discussion Post
The perpendicular bisectors of the sides of a triangle are concurrent at a point that is equidistant from the vertices.
Prove this theorem!
Prove this theorem!
Group #2 Discussion Post
The median of a trapezoid is parallel to its bases and is equal to one half of their sum.
Prove this theorem using the diagram provided in class.
Prove this theorem using the diagram provided in class.
Group #1 Discussion Post
In a right triangle, the midpoint of the hypotenuse is equidistant from the three vertices.
Prove this theorem and its converse.
Prove this theorem and its converse.
Thursday, January 15, 2009
Homework due 01/20/09
The theorems you proved in the assignment in class today are commonly referred to as the “midpoint theorems.” Use the results of these theorems as well as other theorems you have learned before and do exercises 1, 3, 4, 5, 15 and 22 on pages 177-179 of your textbook. Then, read pages 179-180 and fill in the missing reasons (stated as “Why?”) in the proof for Theorem 30. Be sure to read and understand the definition and corollary that follow from it.
Tuesday, January 13, 2009
Quiz on Friday, January 16th
You will have a quiz on parallel lines and planes and some of our work with geometric solids.
Friday, January 9, 2009
Homework due 01/12/09
Do exercises 1-31 on pages 166-167. Be sure to read the postulates and theorem covered in the text just before the exercises.
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