Given a point [math]C[/math] on some line [math]AB[/math],[br][list][br][*] Create point [math]D[/math] on [math]\overleftrightarrow{AB}[/math] such that [math]{D}\neq{C}[/math][br][br][/*][*] Using the [b]Compass tool[/b], create a circle [math]c[/math] with radius [math]m\overline{DC}[/math] centered @ point [math]C[/math][br][br][/*][*] Using the [b]Point tool[/b], create the OTHER point of intersection ([math]E[/math]) between circle [math]c[/math] and [math]\overleftrightarrow{AB}[/math][br][br][/*][*] Using the [b]Compass tool[/b], create a circle [math]d[/math] with radius [math]m\overline{DE}[/math] centered @ point [math]D[/math][br][br][/*][*] Using the [b]Compass tool[/b], create a circle [math]e[/math] with radius [math]m\overline{DE}[/math] centered @ point [math]E[/math][br][br][/*][*] Using the [b]Intersect tool[/b], create the points of intersection [math]F[/math] and [math]G[/math] between circles [math]d[/math] and [math]e[/math][br][br][/*][*] Using the [b]Line tool[/b], create [math]\overleftrightarrow{FG}[/math][br][/*][/list]

Does your construction pass the Drag Test?