Download MA 321 Spring 09 Review for Exam 2 1. Use only straightedge and

MA 321 Spring 09 Review for Exam 2
1. Use only straightedge and compass to
(a) copy an angle,
(b) bisect a line segment.
(c) bisect an angle,
(d) construct a perpendicular bisector,
(e) construct a parallel line to a given line that passes through a given point,
(f) divide a given line segment into 5 subsegments of equal length.
2. Number 9 on page 215.
3. Number 11 on page 215.
4. Number 21 on page 235.
5.
Prove the following: If two lines are both perpendicular to a transversal, then
the lines are parallel.
6. Number 25 on page 256.
7. (a) Define parallelogram.
(b) Show that a diagonal divides a parallelogram into two congruent triangles.
(c) Show that opposite angles in a parallelogram are congruent.
(d) Show that opposite sides in a parallelogram are congruent.
(e) Show that the diagonals of a parallelogram bisect each other.
(f) Show that a convex quadrilateral in which the diagonals bisect each other is a parallelogram.
8. Number 37 on page 268.
9. Number 41 on page 268.
10. Number 43 on page 268.
11. Show that a parallelogram in which the diagonals are perpendicular is a rhombus.
12.
The points A and B are the endpoints of a diameter of a circle and the point
C lies on the same circle but not on the diameter. Show that the triangle ABC is a right
triangle.
13. Review homework assignments 4, 5 and 6.