Question

Please help! Question above (+10 points)

Answer 1

There are three answers and they are: choice 2, choice 3, choice 5

======================================================

Further Explanation:

Choice 1 is false because the intersection of the altitudes of a triangle leads to the orthocenter.

----

Choice 2 is true because the three medians of any triangle always intersect at the centroid. A median is a line that goes from one vertex to the midpoint of the opposite side. In this case, we go from point E to the midpoint of side CD. The midpoint of CD is found by bisecting segment CD (see choice 5)

----

Choice 3 is true. This is effectively the same as choice 5 below. The "perpendicular" aspect does not matter.

----

Choice 4 is false. Following the steps mentioned here will create an altitude line (see choice 1)

----

Choice 5 is true. To bisect something is to cut it in half. Let's say that point F is the midpoint of line segment CD. This means that line segment EF is one of the three medians of triangle CDE.

-------

edit update: I changed choice 3 from false to true