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Understanding Midsegments in Triangles: The Midsegment Theorem

In today’s lesson, students will learn how to solve problems involving the midsegment of a triangle. Through group investigations, students will explore the properties of midsegments, including that they are parallel to the base and measure half its length. Specific examples will be solved as a class, including finding lengths and variables associated with midsegments. Students will collaborate to discuss their findings and complete homework assignments to reinforce their understanding of this geometric concept.

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Understanding Midsegments in Triangles: The Midsegment Theorem

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Presentation Transcript

  1. Warm-Up 10/11

  2. Homework Check

  3. Today’s Objective • Students will be able to solve problems involving the midsegment of a triangle.

  4. Midsegment Investigation • Work in your groups to complete the Investigation • Be prepared to discuss your findings with the class

  5. 5-1 Midsegments of Triangles

  6. Midsegment Theorem ***Midsegment is parallel to the base (side it does not touch)

  7. Midsegment is HALF the base

  8. Ex. 1 – page 25 • Find x

  9. Ex. 2 – page 25 • DE is the midsegment of DABC. Find x, AC, and ED.

  10. Ex. 3 – page 25 • MN is the midsegment of DJKL. • MN = 2x + 1 • KJ = 5x – 8 • Find x, MN, and KJ.

  11. Ex. 4 – page 25

  12. Classwork • Handout

  13. Homework • 5.4 Show What You Know – page 26

  14. Ex:2. H, J, K are midpoints a. Name the midsegment of EG: b. Name the midsegment of FE: c. Name the midsegment of FG:

  15. d.

  16. Ex. 3 Find x:

  17. Ex. 4

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