Question

I need help with this question please

Answer 1

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