An angle bisector is a ray that has its endpoint at the vertex of the angle and divcides the angle into two angles of equal measure. In this investigation, you'll investigate a special property of points on an angle bisector.
Please read the following instructions carefully.[br][br]1. Use the Ray tool to draw ray [i]AB[/i] and ray [i]AC[/i]. Remember to label your points.[br]2. Use the Angle Bisector Tool then click either the two rays or points [i]C[/i],[i] A[/i],[i] B[/i] in that order. Or is it[i] B, A, C[/i]?[br]3. Construct a point [i]D[/i] on the angle bisector with the Point on Object tool.[br]4. Use the Distance or Length tool to measure from point [i]D[/i] to ray [i]AB[/i].[br]5. Use the Distace or Length tool to measure from point [i]D[/i] to ray [i]AC[/i].
To confirm that ray [i]AD[/i] bisects angle[i] BAC[/i], measure angles [i]BAD[/i] and [i]DAC.[/i] (If the correct angle doesn't show up, reverse the order you're clicking the points.) Drag points [i]A[/i], [i]B[/i], and [i]C[/i] to change angle [i]BAC[/i]. How do the angle measures compare?
Drag point [i]D[/i] and observe the distances from point [i]D[/i] to the two sides of the angle. Write a conjecture about any point on the bisector of an angle. Hint: The if part should include point D and the angle bisector and the then part should include the measurements from D to the angle.
Did you actually read the instructions this time?