Back to Prove slope criteria for lines — Problem 2 · Task Set 34

Exercises: Prove Slope Criteria for Parallel and Perpendicular Lines

Work through each section in order. Write every line equation in slope-intercept form unless a problem says otherwise, and show the slope you used before writing the equation.

Grade 10·23 problems·~35 min·Common Core Math - HS Geometry·standard·hsg-gpe-b-5

Work through problems with immediate feedback

Warm-Up: Review What You Know

These problems review slope skills you already have.

Two lines in the same plane are perpendicular when they:

Never meet, no matter how far they are extended in either direction.

Have slopes that are both negative, so they both fall from left to right.

Have one slope defined and one slope undefined, which is the only way a right angle can occur.

Intersect so that the angle formed at the intersection is a right angle.