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Parallel and Perpendicular Lines Name: ______________________________________ I. Parallel Lines Write an equation for each line. 1. A B 2. 3. A B A B Line A: _______________________________ Line A: _______________________________ Line A: _______________________________ Line B: _______________________________ Line B: _______________________________ Line B: _______________________________ 4. What does each pair of lines have in common? ______________________________________________________________ 5. If two lines have the same ___________________, they are parallel. Group the equations below into three sets of parallel lines. y = 2x y = 3x + 2 y = 4 + 2x y = 2 + 4x y = 4x + 3 y = 3x Group 1 Group 2 Group 3 II. Perpendicular Lines Write an equation for each line. A B 1. B 3. A 2. A B Line A: _______________________________ Line A: _______________________________ Line A: _______________________________ Line B: _______________________________ Line B: _______________________________ Line B: _______________________________ 6. How are the slopes of the lines related? ______________________________________________________________ 7. If two lines are perpendicular the slopes are ______________________________________________________________. Group the equations below into three sets of perpendicular lines. y = 2 - 4x y = 2x y= 1 x+3 4 y=4– 1 x 2 2 3 y=- x y= 3 x+2 2 Group 1 Group 2 Group 3 III. Draw a line parallel to the line below: IV. Draw a line perpendicular to the line below: Write an equation for the parallel line you drew: Write an equation for the parallel line you drew: ______________________________________________________ ______________________________________________________ Determine whether each pair of representations of linear equations is parallel, perpendicular or neither.