[color=#000000]What is the sum of the measures of the [/color][color=#ff0000]red[/color] [color=#000000]and[/color] [color=#0000ff]blue[/color] [color=#000000]angles?  [br]How do you know this to be true?  [/color]

The segment that was drawn as you dragged the slider is called an [b]altitude.[br][/b]This [b]altitude [/b]was [b]drawn to the hypotenuse[/b].  [b]  [br][/b]How many right triangles did this [b]altitude[/b] split the original right triangle into?

[color=#000000]What does the the special movement of the [/color][color=#ff0000]red[/color][color=#000000] and [/color][color=#0000ff]blue[/color][color=#000000] angles imply about[br]these 2 smaller right triangles?  [br][br]What previously learned theorem justifies your answer?  [/color]

Does your response for (3) also hold true for the relationship between the ORIGINAL[br]BIG RIGHT TRIANGLE and either one of the smaller right triangles?[br][br]If so, how/why do you know this?