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Understanding Midsegment Theorem in Triangle Geometry

Learn about the Midsegment Theorem which states that the midsegment connecting two sides of a triangle is parallel to the third side and half as long. Practice test questions included. Verify the theorem by showing parallelism and calculating segment lengths.

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Understanding Midsegment Theorem in Triangle Geometry

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  1. Midsegment Theorem Chapter 5 addition

  2. Midsegment Midsegment of a Triangle • Connects the two midpoints of two sides of a triangle.

  3. C DE // AB and DE = AB D E A B Midsegment Theorem • The midsegment connecting the midpoints of two sides of the triangle is parallel to the third side and is half as long.

  4. TEST QUESTION (worth ~12% of your test grade) • Verify that both parts of the Midsegment Theorem are true for segment DE. Show and label your work very neatly and clearly!

  5. TEST QUESTION • Show that DE // AB • Find the slopes of segments AB and DE 8 6 4 The slopes are = so the lines are // 3 Conclusion is required for full credit!!!

  6. 8 6 4 3 TEST QUESTION • Show that DE = ½ AB • Find the lengths of segments AB and DE Conclusion is required for full credit!!! 5 = ½ (10)

  7. Homework Chapter 5

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