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I need help with this question please

I need help with this question please-example-1

1 Answer

8 votes

Answer:

C.

Explanation:

Given


A =(x_1,y_1)


B =(x_2,y_2)


C =(x_3,y_3)


D =(x_4,y_4)

Required:

Which condition proves that AB is perpendicular to CD

First, calculate the slopes of both.

For AB


m_1 = (y_2 -y_1)/(x_2 - x_1)

For CD


m_2 = (y_4 -y_3)/(x_4 - x_2)

The condition of perpendicularity is:


m_1 * m_2 = -1

Substitute values for m1 and m2


(y_2 -y_1)/(x_2 - x_1) * (y_4 -y_3)/(x_4 - x_2) = -1

Option (c) is correct

User Jon Kragh
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