Question

Help me ! Please for summer school

Answer 1

Answer:

The correct answer option is C. $\frac{y_4-y_3}{x_4-x_3} \times \frac{y_2-y_1}{x_2-x_1} = -1$.

Step-by-step 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. $\frac{y_4-y_3}{x_4-x_3} \times \frac{y_2-y_1}{x_2-x_1} = -1$ is the correct answer.