Prove that the line segments joining the mid-points of the sides of a triangle from four triangles, each of which is similar to the original triangle.

Explanation

To prove that the line segments joining the midpoints of the sides of a triangle form four triangles, each of which is similar to the original triangle, we will follow these steps:

### Step-by-Step Solution

1. **Consider Triangle ABC**: Let triangle ABC be given, where A, B, and C are the vertices.

2. **Identify Midpoints**: Let D, E, and F be the midpoints of sides AB, BC, and AC respectively.

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