Question

I need help with this question please

Answer 1

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.

For AB

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

For CD

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

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