Compass constructions 2

The  exercise appears under the Geometry Math Mission. This exercise practices formal geometric construction with the straightedge and compass.

Types of Problems
There is one types of problems in this exercise:


 * 1) Construct the geometric object: This problem asks the student to use a compass and straightedge to construct a particular geometric object.Comcon2-1.png

Strategies
Knowledge of loci of points and some familiarity with geometric construction tools are encouraged to ensure success on this exercise.
 * 1) Inscribed square
 * 2) The key fact is that the diagonals of a square bisect each other.
 * 3) Make a diameter.
 * 4) Create perpendicular bisector of the diameter.
 * 5) Connect the points on the circumference
 * 6) Inscribed equilateral triangle
 * 7) The key fact is that the points are evenly spaced one third of the way around the circle.
 * 8) Create a diameter.
 * 9) Move a congruent circle to one endpoint of the diameter
 * 10) Connect other endpoint with the two intersection points of the second circle.

Real-life Applications

 * 1) Straightedge and compass construction were the foundation of mathematics for thousands of years.