Question

samir was asked to draw all the medians of ( \triangle mht ). he produced the following diagram.
complete the sentence to explain why samirs diagram cannot be correct.
if ( overline{hy} ), ( overline{mq} ), and ( overline{xt} ) were all medians, then they would ____________.
intersect at a single point
be equal in length
intersect outside of triangle ( mht )
be perpendicular to the sides of triangle ( mht )

Explanation:

Step1: Recall the property of medians

Medians of a triangle intersect at a single point (the centroid).

Step2: Analyze Samir's diagram

In Samir's diagram, \( \overline{HY}\), \( \overline{MQ}\), and \( \overline{XT}\) do not intersect at a single point.

Answer:

intersect at a single point