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What is the name of a line segment passi...

What is the name of a line segment passing through a verrtex of a triangle to the midpoint of the opposite side ?

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To find the name of a line segment that passes through a vertex of a triangle to the midpoint of the opposite side, we can follow these steps: ### Step-by-Step Solution: 1. **Draw a Triangle**: Start by sketching a triangle. Label the vertices as A, B, and C. 2. **Identify the Vertex**: Choose one vertex of the triangle. For example, let’s choose vertex A. 3. **Find the Midpoint of the Opposite Side**: Identify the side opposite to vertex A, which is side BC. Find the midpoint of this side. Let’s call this midpoint M. 4. **Draw the Line Segment**: Draw a line segment from vertex A to the midpoint M. This line segment connects the vertex A to the midpoint of side BC. 5. **Name the Line Segment**: The line segment that passes through a vertex of a triangle and the midpoint of the opposite side is called a **Median**. ### Final Answer: The name of the line segment passing through a vertex of a triangle to the midpoint of the opposite side is called a **Median**. ---
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Knowledge Check

  • Isosceles triangle T_1 has a base of 12 meters and a height of 20 meters . The vertices of a second triangle T_2 are the midpoints of the sides of T_1 . The vertices of a third triangle , T_3 , are the midpoints of the sides of T_2 . Assume the process continues indefinitely , with the vertices of T_(k+1) being the midpoints of the sides of T_k for every positive integer k. What is the sum of the areas, in square meters, of T_1,T_2,T_3 , ..... ?

    A
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    B
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    C
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    D
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