The simplest construction is to copy a line segment. [br]Given line segment AB, copy it to the dotted line as shown in red.[br][br]1) Using the Compass tool[icon]https://www.geogebra.org/images/ggb/toolbar/mode_compasses.png[/icon], set the radius to the length of line segment AB by clicking point A then point B.[br]2) Create a new circle with a radius the length of segment AB centered at point C by clicking point C.[br]3) Create a new point where circle C and the dotted line intersect by using the Intersect tool[icon]https://www.geogebra.org/images/ggb/toolbar/mode_intersect.png[/icon] and clicking the dotted line and then the circle. [br]4) Create a new segment by selecting the Segment tool[icon]https://www.geogebra.org/images/ggb/toolbar/mode_segment.png[/icon], then click point C, then click the new point you created.[br]5) Verify the two segments are congruent by using the Segment Measure tool[icon]https://www.geogebra.org/images/ggb/toolbar/mode_distance.png[/icon]. Click point A then point B. Then click point C and the new point you created. These should be equal.