Question

Which statement best explains the relationship between

lines FG and HJ?
O They are perpendicular because their slopes are
equal,
O They are perpendicular because their slopes are
negative reciprocals,
O They are not perpendicular because their slopes are
equal,
• They are not perpendicular because their slopes are
not negative reciprocals.

Answer 1

You have to see for yourself on the picture we cannot see. But from these statements alone it's either the second or the fourth option.

Explanation:

They are perpendicular because their slopes are equal - Doesn't make sense, they would be parallel not perpendicular

They are perpendicular because their slopes are negative reciprocals - Makes sense

They are not perpendicular because their slopes are equal - Makes sense but it does not explain their relationship as well as the statement above

They are not perpendicular because their slopes are not negative reciprocals - Makes sense since that's how perpendicular lines work.

Conclusion, since we can't see the lines. You have to see for yourself on the picture we cannot see. But from these statements alone it's either the second or the fourth option.

If you add a picture I can narrow it down.