In the applet below, the [color=#9900ff][b]purple angle's measure [/b][/color]can be changed by [color=#9900ff][b]adjusting the slider.[/b][/color] [br]In addition, the [b]BIG WHITE POINTS[/b] can be moved anywhere you'd like.
Select the [b]ANGLE WITH GIVEN SIZE[/b] tool. Then select points [i]E [/i]and [i]C[/i] (in that order). When the input box pops up, type in [math]\beta[/math] and select [b]clockwise[/b]. [br][br](This will construct an angle congruent to the purple angle [math]\beta[/math] below with vertex [i]C[/i].)
Construct a [color=#ff7700][b]ray[/b][/color] with endpoint [i]C[/i] that serves as the [b][color=#ff7700]other side[/color][/b] of this [color=#9900ff][b]new purple angle[/b][/color] you've just constructed.
Now, use the [color=#9900ff][b]purple slider[/b][/color] to [color=#9900ff]change the size of the [/color][b][color=#9900ff]2 congruent purple angles[/color][/b]. Be sure to also change the locations of the [b]BIG WHITE POINTS[/b]. [br][br]What seems to be true about the [color=#bf9000][b]yellow ray [/b][/color]and the [color=#ff7700][b]orange ray[/b][/color]?
Use GeoGebra to show that your claim (response to question 3) is true! Explain how your work shows your assertion is true.
Write what you've just observed as a conditional (if-then) statement. [br][br]How does this conditional statement relate to the conditional statement we've discovered in our previous class?