Math 150

Sample 1st Midterm

Dr. Wilson

1. Find the equation of the line that goes through the points (2, 5) and (4, 7).

2. Find the equation of the line that goes through the point (2, 3) parallel to the line whose equation is x + y = 3.

3. Find the equation of the line that goes through the point (2, 3) perpendicular to the line whose equation is x + y = 3, find the foot of the point in the given line, and find its reflection about the given line.

4. Find the equation of the circle centered at (2, 3) of radius 5.

5. In the figure below, AB || CD. Fill in all the angles.

6. Find the distance between (1,3) and (4, 7)

7. Find the midpoint between (1, 3) and (4, 7)

8. Prove one of the theorems about parallelograms.