5-1 Midsegments of Triangles

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Presentation transcript:

5-1 Midsegments of Triangles

Midsegment The midsegment of a triangle is a segment connecting the midpoints of two sides of the triangle. Triangle Midsegment Theorem: If a segment joins the midpoints of two sides of a triangle, then the segment is parallel to the third side and half as long.

Identifying Parallel Segments What are the three pairs of parallel segments in DEF?

Finding Lengths In QRS, T, U, and B are midpoints. What are the lengths of TU, UB, and QR?

In the figure below, AD = 6 and DE = 7. 5 In the figure below, AD = 6 and DE = 7.5. What are the lengths of DC, AC, EF, and AB?

Using Midpoints to Draw a Triangle The midpoints of the sides of a triangle are L(4, 2), M(2, 3), and N(5, 4). What are the coordinates of the vertices of the triangle?