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Midsegments of Triangles

Dive into the concept of midsegments of triangles, exploring the relationship between a triangle's midsegments and their corresponding sides. Learn the essential theorem stating that a midsegment is parallel to one side and half the length of that side. This guide includes practice problems to reinforce your understanding: find values for AD, BE, AC, DE, and variables in equations of midsegments. Master the skills needed to prove that DE is parallel to AC and calculate necessary relationships involving midpoints D and E.

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Midsegments of Triangles

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  1. B Midsegments of Triangles D E A C DE = ½ AC DE || AC

  2. Practice 1) 4 Find AD if DB = 4 Find BE if EC = 12 Find AC if DE = 14 Find DE if AC = 30 Find x if DE = x + 5 and AC is 60 2) 12 B 3) 28 4) 15 5) 25 D E A C

  3. Practice 1) 44 Find YZ Find ZX Find x if XY = 76 and PN 2x -14 Find PZ and XP Find x if PN = 2x and XY = 6x – 8 2) 48 3) 26 4) 24, 24 5) 4

  4. Find m < AMN and m < ANM.

  5. Given : D is Midpoint of AB E is Midpoint of BC Prove : DE || AC and DE = ½ AC B (b,c) D E A C (0,0) (a,0)

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