MATH 335 In Class Exercises Names________________________________

1. Let be a chord in a circle. Let L be the tangent line to the circle at B. Let C be the point on L such that AB=BC and is obtuse. Let D be the point between A and C that is on the circle (the intersection of the line through a and C and the circle.) Suppose that . Find the measures of the following angles.

2. Let (0,0), (8,16), and (10,2) be the vertices of a triangle. Find the equation of the Euler Line of the triangle. Briefly explain how you are accomplishing the task.

3. In two different ways, show that (1,1), (8,6), (3,13), and (-4,8) are the vertices of a rectangle. Specify the two different ways.