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I can prove and use properties of triangle midsegments.

Learn about the properties of triangle midsegments and how to apply the Triangle Midsegment Theorem in various examples, including indirect measurement. Explore measurements and calculations using midsegments.

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I can prove and use properties of triangle midsegments.

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  1. Objective I can prove and use properties of triangle midsegments.

  2. A midsegment of a triangleis a segment that joins the midpoints of two sides of the triangle. Every triangle has three midsegments, which form the midsegment triangle.

  3. Example 2A: Using the Triangle Midsegment Theorem Find each measure. BD ∆ Midsegment Thm. Substitute 17 for AE. BD = 8.5 Simplify.

  4. Example 2B: Using the Triangle Midsegment Theorem Find each measure. mCBD ∆ Midsegment Thm. mCBD = mBDF Alt. Int. s Thm. mCBD = 26° Substitute 26° for mBDF.

  5. 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? ∆ Midsegment Thm. Substitute 46 for PQ. ST= 23 Simplify. The length of the support ST is 23 inches.

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