Question

geometry measurement, data analysis identifying parallel and perpendicular lines. for each graph, decide if the two lines are parallel, perpendicular, or neither. graph 1 graph 2 graph 3 graph 4 parallel parallel parallel parallel perpendicular perpendicular perpendicular perpendicular neither neither neither neither

Explanation:

Step1: Recall parallel - line definition

Parallel lines have the same slope and never intersect.

Step2: Recall perpendicular - line definition

Perpendicular lines have slopes that are negative reciprocals of each other and intersect at a 90 - degree angle.

Step3: Analyze Graph 1

The two lines in Graph 1 are straight and do not intersect, so they are parallel.

Step4: Analyze Graph 2

The two lines in Graph 2 are not parallel (they will intersect if extended) and their slopes are not negative reciprocals, so they are neither.

Step5: Analyze Graph 3

The two lines in Graph 3 are not parallel (they intersect) and their slopes are not negative reciprocals, so they are neither.

Step6: Analyze Graph 4

The two lines in Graph 4 intersect at a 90 - degree angle, so they are perpendicular.

Answer:

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