#1. What term describes a line segment that connects a vertex of a triangle to a point on the line containing the opposite side, so that the line segment is perpendicular to that line? #2. Which term describes a line segment that connects a vertex of a triangle to the midpoint of the opposite side?

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Hagrid
#1
The ALTITUDE is a line segment that connects a vertex of a triangle to a point on the line containing the opposite side, so that the line segment is perpendicular to that line.

#2
The MEDIAN  a line segment that connects a vertex of a triangle to the midpoint of the opposite side

Answer:

# 1

        Altitude of a triangle.

# 2

        Median of a triangle.

Step-by-step explanation:

Altitude--

An altitude is a line that passes through a vertex and it intersects the opposite side of that vertex at 90 degree i.e. the line is perpendicular to the opposite side.

The point where the three altitudes of a triangle meet is called the Orthocenter of the triangle.

Median of a triangle--

The median of the triangle is the line which passes through a vertex and meets the midpoint of the opposite side of the triangle.

The point where the three medians of a triangle meet is called the Centroid of the triangle.