Question

In the following diagram, medians AD and BE intersect at F. Which of the following segments would not be true

1) ECD~ACB
2) EF= 1/2EB
3) ED||AB
4) the median drawn from C would pass through F

Answer 1

Answer is number 1 you welcome

Answer 2

The segment that is false is (2) EF= 1/2EB

The median lines of a triangle always meet at a point.

This means that the line from point C is true (option 4 is true)

The median divides the side lengths of the triangle into equal segments.

However, the centroid at point F do not divide line EB into equal segments

This means that:

The equation EF= 1/2EB is false

Hence, the segment that is false is (2) EF= 1/2EB

Read more about median and centroid at:

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