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.
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