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ddd [48]
3 years ago
15

I need help with this question please

Mathematics
1 answer:
german3 years ago
8 0

Answer:

C.

Step-by-step 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.

<u>For AB</u>

m_1 = \frac{y_2 -y_1}{x_2 - x_1}

<u>For CD</u>

m_2 = \frac{y_4 -y_3}{x_4 - x_2}

The condition of perpendicularity is:

m_1 * m_2 = -1

Substitute values for m1 and m2

\frac{y_2 -y_1}{x_2 - x_1} * \frac{y_4 -y_3}{x_4 - x_2} = -1

Option (c) is correct

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