New PointRuler and Compass, exercises
Allowed tools:
New Point
Intersect Two Objects
Line through Two Points
Segment between Two Points
Ray through Two Points
Circle with Centre through Point
CompassesThis file has the restricted set of tools.
Construction 1 Bisect angle
Start with: Two rays with a common endpoint.
Construct: A ray dividing the angle between the rays in two equally large angles, such a ray is called an angle bisector; dividing into two equal parts is called bisecting.
Construction 2 Bisect segment
Start with: A segment.
Construct: The midpoint.
Construction 3 Perpendicular line 1
Start with: A line and a point on the line.
Construct: A line through the point perpendicular to the given line, a so called normal line.
Construction 4 Perpendicular line 2
Start with: A line and a point not lying on the line.
Construct: A line through the point perpendicular to the given line.
Construction 5 Reflect point in line
Start with: A line and a point.
Construct: The mirror image of the point when reflected
in the line. Show the traces of the original point and the mirror image
of the point by right-clicking on each point and choose Trace
on. (Use the construction of Perpendicular line 2.)
Construction 6 Parallel line
Start with: A line and a point not on the line.
Construct: A line through the point parallel to the given line. (Use the construction of Perpendicular line 2.)
Construction 7 Multiple of a segment
Start with: A segment.
Construct: A segment who's length is a multiple of the length of the given segment. (For example three times as long.)
by Malin Christersson under a Creative Commons Attribution-Noncommercial-Share Alike 2.5 Sweden License
