To construct congruent line segments with a compass and straightedge, follow the instructions below. Play and pause the video at each step to help you.
We can also construct a congruent segment using dynamic geometry software. Press the pause/play button in the applet below to see the steps of the construction in action. To test the construction, move the points $A$A, $B$B, $C$C, and $D$D around to see that they are always the same length. This is sometimes referred to as a drag test.
Now it's your turn! Repeat the steps for construction to construct your own set of congruent segments. Click here to open the applet in a larger web browser window.
|Move Tool||Point Tool||Line Tool||Line Segment Tool||Compass Tool||Polygon Tool|
Be sure to save your construction often, especially if you would like to come back to it at a later time. If you refresh this page before saving, your work will be lost.
Know precise definitions of angle, circle, perpendicular lines, parallel lines, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc as these exist within a plane.
Make, justify, and apply formal geometric constructions.