Exploring Parallel and Perpendicular Lines

What defines parallel lines in geometry?

• Lines that intersect at any angle

• Lines that never intersect

• Lines that intersect at 90 degrees

• Lines that intersect at least once

How can you algebraically determine if two lines are parallel?

• They have different slopes

• They have opposite reciprocal slopes

• They have the same y-intercept

• They have the same slope

What is the relationship between lines y = 3x + 4 and y = 3x - 2?

• Perpendicular

• Parallel

• None of the above

• Intersecting at one point

What is the slope condition for two lines to be perpendicular?

• Their slopes must be equal

• Their slopes must be both positive

• Their slopes must be opposite reciprocals

• Their slopes must sum to zero

What happens if the slopes of two lines are opposite reciprocals?

• They are parallel

• They are the same line

• They are perpendicular

• They do not intersect

If two line segments have slopes of 3/4, what is their relationship?

• None of the above

• Intersecting

• Parallel

• Perpendicular

How do you find the slope from two points (2, 6) and (-2, 3)?

• -3/4

• 3/4

• -4/3

• 4/3

What is the slope of a line in the equation y = 7x + 5?

• 12

• 7

• 0

• 5

What does a slope of zero indicate about a line?

• It is vertical

• It is undefined

• It is horizontal

• It is increasing

If a line has an undefined slope, what type of line is it?

• Decreasing

• Horizontal

• Increasing

• Vertical