Question

38. Which of the following describes a median of a triangle? (1 point)

a segment drawn from a vertex to the midpoint of the opposite side
a segment drawn from the vertex perpendicular to the line containing the opposite side
a segment drawn through the midpoint of a side and at a right angle to the side.
a segment drawn from the center of an angle to the side opposite.

Answer 1

The median of a triangle is a segment drawn from a vertex to the midpoint of the opposite side.

Step-by-step explanation:

The median of a triangle is a segment drawn from a vertex to the midpoint of the opposite side. It is one of the three segments that can be drawn from the vertices to their opposite sides such that each median divides the triangle into two equal-area triangles. The median intersects with the other two medians at the triangle's centroid, which is also the balance point of the triangle. In the context of a right triangle, as shown in a figure, the median from the right angle vertex to the hypotenuse also halves the hypotenuse. Therefore, the correct answer to the student's question is: a segment drawn from a vertex to the midpoint of the opposite side.

Answer 2

Answer: A segment drawn from a vertex to the midpoint of the opposite side.

Step-by-step explanation:

This is true by definition.

• The second option gives the definition of an altitude.
• The third option gives the definition of a perpendicular bisector.
• The fourth option gives the definition of an angle bisector.