Question

Which statement best explains the relationship between lines FG and HJ? 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 not negative reciprocals.

Answer 1

Answer:

Our 2nd, 3rd and 4th statement are correct.

Step-by-step explanation:

Given that

Line 1 = FG

Line 2 = Hj

Let's say

Slope of FG = m₁

Slope of HJ = m₂

Now, as we know that

Case 1

If the lines FG and HJ have same slope i.e.

m₁ = m₂

then these lines are parallel as two lines having same slop are parallel.

Case 2

If the lines FG and HJ have slopes in the following relation i.e.

m₁ = -1/m₂

then these lines are perpendicular as two lines having slopes negative reciprocal of each other are perpendicular.

So, on the basis of above two statements we can say that 2, 3 and 4 are correct.