Given a line segment [math]AB[/math],[br][list][br][*] Create point [math]C[/math] not on [math]\overline{AB}[/math][br][br][/*][*] Using the [b]Compass tool[/b], create a circle with radius [math]m\overline{AC}[/math] centered @ point [math]A[/math][br][br][/*][*] Create another circle with the same radius ([math]m\overline{AC}[/math]) centered @ point [math]B[/math][br][br][/*][*] Using the [b]Intersect tool[/b], create the points of intersection ([math]D[/math] and [math]E[/math]) of your two circles[br][br][/*][*] Using the [b]Line tool[/b], create [math]\overleftrightarrow{DE}[/math][br][br][/*][*] Using the [b]Intersect tool[/b], create the point of intersection ([math]F[/math]) between [math]\overline{AB}[/math] and [math]\overleftrightarrow{DE}[/math][br][br][/*][/list]

Point [math]F[/math] is the midpoint of line segment [math]\overline{AB}[/math].[br][br]What is the angle between [math]\overline{AB}[/math] and [math]\overleftrightarrow{DE}[/math]? Use the [b]Angle tool[/b] to verify your answer.[br][br]What relationship exists between line segments [math]\overline{AF}[/math] and [math]\overline{BF}[/math]? [i]HINT[/i]: use the [b]Distance or Length tool[/b][br][br][br]Does your construction pass the Drag Test?