Note that you are looking at a bisection of Angle [math]\angle BAC[/math][br][br]Line [math]D[/math], the red one, is supposed to cut the angle in half, meaning Angle [math]\angle BAD[/math] (blue) and Angle [math]\angle CAD[/math] (yellow) would be equal.[br][br]Move Dots [math]A[/math], [math]B[/math], or [math]C[/math] to make the blue and yellow angles the same number.[br][br]

[table][tr][td][icon]/images/ggb/toolbar/mode_angle.png[/icon][b][math]\angle BAD[/math][/b][/td][td][b][icon]/images/ggb/toolbar/mode_angle.png[/icon][math]\angle CAD[/math][/b][/td][td][b][icon]/images/ggb/toolbar/mode_segment.png[/icon][math]BA[/math][/b][/td][td][b][icon]/images/ggb/toolbar/mode_segment.png[/icon][/b][math]CA[/math][/td][/tr][tr][td][math]65.74^\circ[/math][/td][td][math]65.74^\circ[/math][/td][td][math]8.39[/math][/td][td][math]8.39[/math][/td][/tr][tr][td][math]38.52^{\circ}[/math][/td][td][math]38.52^\circ[/math][br][/td][td][math]12.28[/math][/td][td][math]12.28[/math][/td][/tr][/table]

Observe the chart below, make a [i]conjecture [/i](general rule; observation; pattern) about what happens to the segment lengths, when the angles are [i]congruent[/i] (equal).[br][br]Sentence frame:[br][br]When [math]\angle BAC[/math] and [math]\angle CAD[/math] are _______, then the lengths of [math]BA[/math] and [math]CA[/math] are _______[br][br]If you don't believe it yet, try to disprove it.