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Understanding the Midsegment Theorem in Triangles

The Midsegment Theorem states that a segment connecting the midpoints of two sides of a triangle is parallel to the third side and half its length. This principle can be applied to find coordinates of midsegments and determine lengths. For example, given triangle ABC with midpoints M and N, if MN = 6 cm, then the opposite side AB measures 12 cm. We will also explore how to calculate the perimeter of a triangle using midsegment information. Join us for clear examples and practical applications of this theorem!

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Understanding the Midsegment Theorem in Triangles

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  1. Section 5-4 Midsegment Theorem

  2. Midsegment of a Triangle • The segment connecting the midpoints of two sides of a triangle

  3. Example: Find the coordinates of the endpoints of each midsegment. Recall the Midpoint Formula:

  4. Midsegment Theorem • Midsegment is parallel to the third side of the triangle • Midsegment is half as long as the third side.

  5. AND A M N B C ║ 6 cm midpoint Midsegment midpoint 12 cm

  6. A M N B C Examples 14 cm 2x 8 m 28 cm 12 16 m

  7. Find the perimeter of ABC

  8. 13. 14. 15. 16.

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