Question

Which statement best explains the relationship between lines CD and FG? They are perpendicular because their slopes are equal. They are perpendicular because their slopes are negative reciprocals. They are not perpendicular because their slopes are equal. They are not perpendicular because their slopes are negative reciprocals.

Answer 1

Answer:

Step-by-step explanation:

Our question is: Which statement best explains the relationship between lines CD and FG? They are perpendicular because their slopes are equal. They are perpendicular because their slopes are negative reciprocals. They are not perpendicular because their slopes are equal. They are not perpendicular because their slopes are negative reciprocals.

We know that line 1 = CD  and line 2 = FG .

Let  m₁ be the slop of CD and let m₂  be the slop of FG.

Therefore, we can consider two situations:

1. If m₁ = m₂ the these lines are parallel. Which means that they have the same slop and only their origin coordinate can vary.
2. If m₁ = -m₂ then these lines are perpendicular. Two line with symmetric slopes are said to be perpendicular since they make a right angle in all directions of its angles.

Hence, the second, third and fourth statements are considered to be correct.

Hope this helped you!!