Given a point [math]C[/math] not on some line [math]AB[/math],[br][list][br][*] Create points [math]D[/math] and [math]E[/math] on [math]\overline{AB}[/math][br][br][/*][*] Using the [b]Line tool[/b], create [math]\overleftrightarrow{CD}[/math][br][br][/*][*] Using the [b]Compass tool[/b], construct circle [math]c[/math] centered at point D with radius [math]m\overline{DE}[/math][br][br][/*][*] Using the [b]Compass tool[/b], construct circle [math]d[/math] centered at point C with radius [math]m\overline{DE}[/math][br][br][/*][*] Using the [b]Point tool[/b], create point [math]F[/math] as one of the intersections between circle [math]c[/math] and [math]\overleftrightarrow{CD}[/math][br][br][/*][*] Using the [b]Point tool[/b], create point [math]G[/math] as one of the intersections (corresponding with [math]F[/math]) between circle [math]d[/math] and [math]\overleftrightarrow{CD}[/math][br][br][/*][*] Using the [b]Compass tool[/b], construct circle [math]e[/math] centered @ point [math]G[/math] with radius [math]m\overline{FE}[/math][/*][*] Using the [b]Point tool[/b], create point[math]H[/math] as one of the intersections (corresponding with [math]E[/math]) between circles [math]e[/math] and [math]d[/math][br][br][/*][*] Using the [b]Line tool[/b], create [math]\overleftrightarrow{CH}[/math][br][/*][/list]

Does your construction pass the Drag Test?