Dr. Brackins' favorite construction![br][br]1. [icon]https://www.geogebra.org/images/ggb/toolbar/mode_circle2.png[/icon] Use the Circle with Center through Point tool to make a circle with center A through point B.[br][br]2. [icon]https://www.geogebra.org/images/ggb/toolbar/mode_circle2.png[/icon] Use the Circle with Center through Point tool to make a circle with center B through point A.[br][br]3. [icon]https://www.geogebra.org/images/ggb/toolbar/mode_intersect.png[/icon] Use the Intersect tool to construct two points of intersection of the circles from steps 1-2. (One on either side of the segment AB.)[br][br]4. [icon]https://www.geogebra.org/images/ggb/toolbar/mode_join.png[/icon] Use the Line tool to draw the line CD.[br][br]5. [icon]https://www.geogebra.org/images/ggb/toolbar/mode_intersect.png[/icon] Use the Intersect tool to construct point E, the midpoint of AB.[br][br]6. [icon]https://www.geogebra.org/images/ggb/toolbar/mode_distance.png[/icon] Use the distance tool to check your answer. First, Click A, then E. Next, click E, then B. These two distances should be the same.