Similar Right Triangles (II)
Interact with the applet below for a few minutes, then answer the questions that follow.
[b]Questions:[/b] [br][br]1) What is the sum of the measures of the [color=#ff0000]red[/color] and [color=#6aa84f]green[/color] angles? [br] How do you know this to be true? [br] [br]2) 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?[br][br]3) What does the the special movement of the red and green angles imply about[br] these 2 smaller right triangle? What previously learned postulate or theorem justifies[br] your answer? [br][br]4) 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? If so, how/why[br] do you know this?