What 3 geometry theorems are dynamically being illustrated in the applet below? [br]You can actually only view 1 theorem at a time. [br]To see a theorem other than the one currently being seen here, move any 1 (or more) [color=#ff00ff][b]pink points[/b][/color] as far up or down the circle as you possibly can.[br][br](Feel free to move any point anywhere you'd like at any time!)
[color=#000000][b]Theorem: [/b][/color][br]The measure of an [color=#1e84cc][b]angle formed by 2 secant rays[/b][/color] drawn to a circle from a [color=#1e84cc][b]point outside the circle[/b][/color] is equal to half the difference of the measures of their intercepted arcs. (The [color=#ff00ff][b]pink arc[/b][/color] and the [color=#38761d][b]green arc[/b][/color] are the intercepted arcs.) [br][br][color=#000000][b]Other theorems:[/b][/color][br]Simply replace the phrase [color=#1e84cc][b]"angle formed by 2 secant rays"[/b][/color] in the theorem above with the phrase [color=#1e84cc][b]"angle formed by a secant ray and a tangent ray"[/b][/color] or [b]"angle formed by 2 tangent rays". [/b](These theorems can be seen by moving one or both [color=#ff00ff][b]pink points[/b][/color] as far up or down as they can go on the circle.) [b][br][br][/b]For an alternate means of seeing these theorems dynamically illustrated, see [url=https://www.geogebra.org/m/xFNfnzQx]Animation 45[/url].