Lesson Worksheet: Slopes of Parallel and Perpendicular Lines Mathematics • 11th Grade
In this worksheet, we will practice using the concept of slopes to determine whether two lines are parallel or perpendicular and using these geometric relationships to solve problems.
If the angle that a straight line makes with the positive when measured counterclockwise is , what will the slope of the straight line be?
Consider a line with slope 1 and another line that makes an angle of with the in a counterclockwise direction. Which of the following is correct about the two lines?
- AThe two lines are perpendicular.
- BThe two lines are parallel.
- CThey are neither parallel nor perpendicular.
Given that is a trapezoid, where , and the coordinates of points , , , and are , , , and , respectively, find the coordinates of point .