Question

How could you use coordinate geometry to prove that segment BD and segment AC bisect one another?


Prove the slopes are the same


Prove the slopes are opposite reciprocals.


Prove the lengths are the same


Prove the midpoints are the same.


Please Help! :(

Answer 1

Answer:

I think it's prove the midpoints are the same

Step-by-step explanation:

I'm not completely sure but I'm taking it right now and I believe that's the most logical answer because if they meet up at the same midpoint then they could bisect each other.

Answer 2

The pair of opposite sides are equal, then the quadrilateral is a parallelogram. The opposite sides will be parallel that is BC parallel to AD. The lines BC and AD are parallel when the slopes of line BC and AD are the same. So, the correct option is A) and C).

Given:

A quadrilateral ABCD.

The pair of opposite sides are equal, then the quadrilateral is a parallelogram.

So, according to this definition of a parallelogram, The opposite sides will be parallel that is BC parallel to AD.

Now, if the two lines have the same slope will make the same angle with the x-axis and therefore, they will be parallel.

The lines BC and AD are parallel when the slopes of line BC and AD are the same.

Therefore, the correct options are A) Prove the slopes are the same and C) Prove the lengths are the same.

For more information, refer to the link given below:

https://brainly.com/question/17517783