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midsegment of a triangle

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

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midsegment of a triangle

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  1. Vocabulary midsegment of a triangle 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.

  2. The vertices of ∆XYZ are X(–1, 8), Y(9, 2), and Z(3, –4). M and N are the midpoints of XZ and YZ. Show that and . Example 1: Examining Midsegments in the Coordinate Plane

  3. The vertices of ΔRST are R(–7, 0), S(–3, 6), and T(9, 2). M is the midpoint of RT, and N is the midpoint of ST. Show that and

  4. The relationship shown in Example 1 is true for the three midsegments of every triangle. 6.8 Two Results: (1) Parallel & (2) ½ Length Prove by Coordinate Proof…

  5. Example 2A: Using the Triangle Midsegment Theorem Find each measure. BD mCBD

  6. Find each measure. PM mMLK

  7. Lesson Quiz: Part I Use the diagram for Items 1–3. Find each measure. 1.ED 2.AB 3. mBFE

  8. Lesson Quiz: Part II 4. Find the value of n. 5.∆XYZ is the midsegment triangle of∆WUV. What is the perimeter of∆XYZ?

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