1. [b]Look at the triangle[/b] in the applet. Focus on [b]∠BAC[/b], the angle at the top.[br][br]2. You will see two [b]sliders[/b]:[br][list][*]The [b]gray slider[/b] adjusts the size of the entire angle.[/*][*]The [b]black slider[/b] shows how the [b]blue ray[/b] divides the angle.[/*][/list]3. Spend a few minutes exploring:[list][*]Slide both sliders back and forth.[/*][*]Observe how the blue ray interacts with the angle as the sliders move.[/*][/list] 4.Use the [b]Point on Object[/b] tool (if available) to plot a point [b]F[/b] on the [b]blue angle bisector[/b].[br][br]5. Use the [b]Angle tool[/b] to measure both [b]∠BAF[/b] and [b]∠CAF[/b].[br][list][*]These angles should help you better understand what it means to bisect an angle.[br][br][/*][/list]6. If you’re stuck or unsure, scroll to the bottom of the page and watch the [b]“Quick (Silent) Demo.”[/b]
1. Based on your observations, [b]what does it mean for a ray to bisect an angle?[/b][br][i][br]Do not use words like “middle,” “half,” or “down the middle.”[/i] Explain clearly in your own words.
2. After measuring ∠BAF and ∠CAF:[br]a. What did you notice about the two angles?[br]b. How does this support your answer to the first question?