## Spring 2000

## Sample 2nd Midterm

1. Prove one of the theorems about
isosceles triangles

2. Prove another of the theorems about
isosceles triangles.

3. Prove one of the theorems about circles.

4. Given a triangle, construct the three
perpendicular bisectors, the three angle bisectors, the three medians
and the three altitudes. Draw in the circumscribed circle, the
inscribed circle, and the Euler line.

5. Given that DE || BC, AB = 8, BC = 12, AD
= 5, find DE.

6. Prove one of
the compass and straightedge constructions