Question

Help me ! Please for summer school

Answer 1

The correct answer option is C.
`(y_4-y_3)/(x_4-x_3) * (y_2-y_1)/(x_2-x_1) = -1`.

Explanation:

We are given that two line segments AB and CD are formed from the points A (
`(x_1, y_1)`, B (
`(x_2, y_2)`, C (
`(x_3, y_3)` and D (
`(x_4, y_4)`.

We are to determine which condition needs to be met in order to prove that AB is perpendicular to CD.

When slopes of two perpendicular lines are multiplied, they give a product of -1.

Hence option C.
`(y_4-y_3)/(x_4-x_3) * (y_2-y_1)/(x_2-x_1) = -1` is the correct answer.