Question

for each graph, decide if the two lines are parallel, perpendicular, or neither. graph 1 graph 2 graph 3 graph 4

Explanation:

Graph 1

• Step1: Check definition

Parallel lines are lines in a plane that do not intersect. Perpendicular lines intersect at a right - angle (\(90^{\circ}\)). These lines are not parallel (they will intersect if extended) and not perpendicular (the angle between them is not \(90^{\circ}\)).

Graph 2

• Step1: Check definition

Parallel lines are lines in a plane that do not intersect. These two lines will never intersect, so they are parallel.

Graph 3

• Step1: Check definition

Parallel lines are lines in a plane that do not intersect. Perpendicular lines intersect at a right - angle (\(90^{\circ}\)). These lines are not parallel (they intersect) and not perpendicular (the angle between them is not \(90^{\circ}\)).

Graph 4

• Step1: Check definition

Perpendicular lines intersect at a right - angle (\(90^{\circ}\)). These two lines intersect at a \(90^{\circ}\) angle (by visual inspection of the cross - like structure), so they are perpendicular.

Answer:

Graph 1: Neither, Graph 2: Parallel, Graph 3: Neither, Graph 4: Perpendicular