Use AB←→
and CD←→
to answer the question.
AB←→
contains the points A(2,1)
and B(3,4).
CD←→
contains the points C(−2,−1)
and D(1,−2).
Is AB←→
perpendicular to CD←→?
Why or why not?
Responses
Yes, because the product of the slopes is 1.
Yes, because the product of the slopes is
Yes, because the slopes are the same.
Yes, because the slopes are the same.
No, because the slopes are not the same.
No, because the slopes are not the same.
Yes, because the product of the slopes is −1.
Yes, because the product of the slopes is
No, because the product of the slopes is not −1.
1 answer
No, because the product of the slopes is not -1. The slope of AB←→ is (4-1)/(3-2) = 3 and the slope of CD←→ is (-2+1)/(1+2) = -1/3. The product of the slopes is not -1, therefore AB←→ is not perpendicular to CD←→.