To prove that all three medians of a triangle meet at the same point, the medians of each side must be found. What are the ordered pairs of the three median bisectors?

Question

(1 point)
Responses

c=(2.5,3.5)
, b=(5,3.5)
, and a=(3.5,2)
c equals left parenthesis 2.5 comma 3.5 right parenthesis , b equals left parenthesis 5 comma 3.5 right parenthesis , and a equals left parenthesis 3.5 comma 2 right parenthesis

c=(1,2)
, b=(4,5)
, and a=(6,2)
c equals left parenthesis 1 comma 2 right parenthesis , b equals left parenthesis 4 comma 5 right parenthesis , and a equals left parenthesis 6 comma 2 right parenthesis

c=(3,4)
, b=(4.5,4)
, and a=(4,2)
c equals left parenthesis 3 comma 4 right parenthesis , b equals left parenthesis 4.5 comma 4 right parenthesis , and a equals left parenthesis 4 comma 2 right parenthesis

c=(1.5,1.5)
, b=(1,1.5)
, and a=(2.5,0)

Answer 1

To find the ordered pairs of the three median bisectors in a triangle, we need to know the coordinates of the triangle's vertices as well as how to derive the midpoints for each median.

However, since you did not provide the vertices of the triangle, but you're asking for one of the provided options to be the correct ordered pairs of the medians, the answer would depend on calculations based on the vertex coordinates.

If the provided points c, b, and a are expressed as:

1. Option 1: c = (2.5, 3.5), b = (5, 3.5), a = (3.5, 2)
2. Option 2: c = (1, 2), b = (4, 5), a = (6, 2)
3. Option 3: c = (3, 4), b = (4.5, 4), a = (4, 2)
4. Option 4: c = (1.5, 1.5), b = (1, 1.5), a = (2.5, 0)

Without calculating the actual median points, it's not possible to directly determine which is correct based only on your question.

If you have the vertices of the triangle or any additional context, please provide that information to assist in determining accurately which answer is correct. If you're looking to prove that all three medians meet at the same point (the centroid), knowing the vertices is crucial.