[size=100]Creation of this resource was inspired by an Open Middle problem from Louise Pepper. [/size]
Equations of Perpendicular Lines (Open Middle) - V1
Your task:
Enter digits in the boxes below to create lines. You can move the points that will appear on the lines anywhere you'd like.
Aside from seeing the angle measure that appears (after sliding the slider), algebraically explain how you know your lines are perpendicular.
Same exercise as above: This time create a different pair of perpendicular using non repeating digits ranging -9 to 9 (excluding 0).
Given the constraints of this problem, try to create another pair of perpendicular lines so either one of them has a SLOPE that is as LOW AS POSSIBLE.
What is the value of this lowest possible slope? What prevented you from getting a lower value?
Given the constraints of this problem, try to create another pair of perpendicular lines so either one of them has a SLOPE that is as HIGH AS POSSIBLE.
What is the value of this highest possible slope? What prevented you from getting a higher value?