Download Group: Name: Math 119, Worksheet 5. Feb 2th, 2017 1. (Isosceles

Group:
Name:
Math 119, Worksheet 5. Feb 2th , 2017
1. (Isosceles Triangle Theorem) We just proved the isosceles triangle theorem: if two sides
of a triangle are congruent, then the angles opposite these sides are congruent as well.
(1) Draw an isosceles triangle;
(2) Find a new proof of the above theorem which does not involve drawing any line (you
cannot use for example the angle bisector).
2. Prove the following: in an isosceles triangle the angle bisector of the angle opposite to
the base is also the median to the base.