This resource is an enhancement of [url=https://www.geogebra.org/m/fswR8fRV]Similar Right Triangles (V1)[/url]. Thank you to [url=https://twitter.com/KarenCampe]Karen Campe[/url] for providing suggestions for improvement![br][br][b][color=#1e84cc]Students:[/color][/b][br]Interact with the applet below for a few minutes. [br]After doing so, please answer the questions that follow.
[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? [/color][color=#000000]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?