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Use properties of triangle midsegments.

Objective. Use properties of triangle midsegments. __________________ – a perpendicular segment from a vertex to the line containing the opposite side. Every triangle has three altitudes . An altitude can be inside, outside, or on the triangle.

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Use properties of triangle midsegments.

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  1. Objective Use properties of triangle midsegments.

  2. __________________– a perpendicular segment from a vertex to the line containing the opposite side. Every triangle has three altitudes. An altitude can be inside, outside, or on the triangle.

  3. ________________– a segment whose endpoints are a vertex of the triangle and the midpoint of the opposite side. Every triangle has three medians.

  4. ______________– a segment that joins the midpoints of two sides of the triangle. Every triangle has three midsegments, which form the midsegment triangle.

  5. Example 1A: Using the Triangle Midsegment Theorem Find each measure. BD

  6. Example 1B: Using the Triangle Midsegment Theorem Find each measure. mCBD

  7. Check It Out! Example 2a Find each measure. JL

  8. Check It Out! Example 2b Find each measure. PM

  9. Check It Out! Example 2c Find each measure. mMLK

  10. Example 3: Indirect Measurement Application In an A-frame support, the distance PQ is 46 inches. What is the length of the support ST if S and T are at the midpoints of the sides?

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