Slope Triangle Rotation (VB)

Interact with the applet below for a few minutes. [br]Then answer the questions that follow.
[i]Since [b][color=#38761D]a[/color][/b] and [b][color=#980000]b[/color][/b] represent lengths of segments, their values are non-negative! [br]Keep this in mind as you answer the questions below. [/i]
1.
What is the slope of line j? Write this slope in terms of [b][color=#38761D]a[/color][/b] and [b][color=#980000]b[/color][/b].
2.
What is the sum of the measures of the [b][color=#1e84cc]blue acute angle[/color][/b] and [b][color=#ff00ff]pink acute angle[/color][/b]? Explain how you clearly know this to be true.
3.
What is the slope of line k in the applet above? Write this slope in terms of [b][color=#38761D]a[/color][/b] and [b][color=#980000]b[/color][/b].
4.
Suppose [b][color=#38761D]a = 4[/color][/b] and[b][color=#980000] b = 5[/color][/b]. What would the slope of j be? What would the slope of k be?
5.
Suppose [b][color=#38761D]a = 12[/color][/b] and [b][color=#980000]b = 7[/color][/b]. What would the slope of j be? What would the slope of k be?
6.
Suppose [b][color=#38761D]a = 6[/color][/b] and [b][color=#980000]b = 1[/color][/b]. What would the slope of j be? What would the slope of k be?
7.
What geometry vocabulary term (adjective, really) describes the intersection of lines j and k?
8.
What can you conclude about the slopes of 2 (non-vertical & non-horizontal )perpendicular lines in the coordinate plane?
Close
– Tim Brzezinski

Information: Slope Triangle Rotation (VB)