The line segment joining a vertex of a triangle to the mid-point of its opposite side is called its __________.

Options

A. SIDES
B. ANGLE
C. MEDIAN
D. ALTITUTE

Answer

To solve the question, we need to identify the term that describes the line segment joining a vertex of a triangle to the midpoint of its opposite side. Here’s a step-by-step solution:

### Step-by-Step Solution:

1. **Understanding the Triangle**:
- Let's consider a triangle named ABC. The vertices of the triangle are A, B, and C.

2. **Identifying the Opposite Side**:
- For vertex A, the opposite side is BC.

3. **Finding the Midpoint**:
- The midpoint of side BC is a point that divides the segment BC into two equal parts. Let's denote this midpoint as O.

4. **Drawing the Line Segment**:
- Now, we draw a line segment from vertex A to the midpoint O. This line segment is represented as AO.

5. **Defining the Term**:
- The line segment AO, which connects a vertex of the triangle (A) to the midpoint of the opposite side (O), is known as a **median**.

### Final Answer:
The line segment joining a vertex of a triangle to the midpoint of its opposite side is called its **median**.

---