Compass constructions 1

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.Comcon1-1.png

Strategies
Knowledge of loci of points and some familiarity with geometric construction tools are encouraged to ensure success on this exercise.
 * 1) Angle at a point:
 * 2) Make a segment through P
 * 3) Make a circle centered at A and another circle centered at one intersection point and hitting the other side of the original angle
 * 4) Move the circles over to the other diagram to make the angle
 * 5) Perpendicular to a line
 * 6) Make two circles centered on the line
 * 7) Connect the points of intersection of the two circles
 * 8) Perpendicular bisector
 * 9) Make the circles that have center at one endpoint and go through the other endpoint
 * 10) Construct the line through the intersections
 * 11) Angle bisector
 * 12) Construct any circle centered at vertex
 * 13) Construct circle through one intersection with angle through other intersection
 * 14) Do the same through the other point of intersection
 * 15) Connect intersection point with vertex

Real-life Applications

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