Given a point [math]C[/math] not on some line [math]AB[/math],[br][list][br][*] Create a point [math]D[/math] on the side of [math]\overleftrightarrow{AB}[/math] opposite point [math]C[/math][br][br][/*][*] Using the [b]Compass tool[/b], create a circle [math]c[/math] with radius [math]m\overline{CD}[/math] centered @ point [math]C[/math][br][br][/*][*] Using the [b]Intersect tool[/b], create the points of intersection [math]E[/math] and [math]F[/math] between circle [math]c[/math] and the line [math]\overleftrightarrow{AB}[/math][br][br][/*][*] Using the [b]Compass tool[/b], create circle [math]d[/math] with radius [math]m\overline{EF}[/math] centered @ point [math]E[/math][br][br][/*][*] Using the [b]Compass tool[/b], create circle [math]e[/math] with radius [math]m\overline{EF}[/math] centered @ point [math]F[/math][br][br][/*][*] Using the [b]Intersect tool[/b], create the points of intersection [math]G[/math] and [math]H[/math] between circles [math]d[/math] and [math]e[/math][br][br][/*][*] Using the [b]Line tool[/b], create [math]\overleftrightarrow{GH}[/math][br][br][/*][*] Create a point [math]I[/math] on [math]\overleftrightarrow{GH}[/math] such that [math]{I}\neq{C}[/math][br][br][/*][*] Using the [b]Compass tool[/b], create a circle [math]f[/math] with radius [math]m\overline{IC}[/math] centered @ point [math]C[/math][br][br][/*][*] Using the [b]Point tool[/b], create the second point of intersection [math]J[/math] between circle [math]f[/math] and line [math]\overleftrightarrow{GH}[/math][br][br][/*][*] Using the [b]Compass tool[/b], create circle [math]g[/math] with radius [math]m\overline{IJ}[/math] centered @ point [math]I[/math][br][br][/*][*] Using the [b]Compass tool[/b], create circle [math]h[/math] with radius [math]m\overline{IJ}[/math] centered @ point [math]J[/math][br][br][/*][*] Using the [b]Intersect tool[/b], create the points of intersection [math]K[/math] and [math]L[/math] between circles [math]g[/math] and [math]h[/math][br][br][/*][*] Using the [b]Line tool[/b], create [math]\overleftrightarrow{KL}[/math][br][/*][/list]

Does your Construction pass the Drag Test?