Perpendicular Lines Exploration

[color=#ff0000]Enter a slope for line l in the form a/b.[/color][br][color=#0000ff]Slide the slider to the far right.[/color][br]Determine [math]d_1[/math], the distance between point A and point O. (Use Triangle 1 for assistance.)[br]Determine [math]d_2[/math], the distance between point B and point O. (Use Triangle 2 for assistance.)[br]Determine [math]d_3[/math], the distance between point A and point B. (Use Triangle 3 for assistance.)[br]Will [math]d_1[/math], [math]d_2[/math] and [math]d_3[/math] satisfy the Pythagorean theorem?[br]What is the relationship between line l and line m?[br]What is the slope of line l?[br]What is the slope of line m?[br]What is the product of the slopes of line l and line m?[br]What is the relationship between the slopes of line l and line m?

Information: Perpendicular Lines Exploration