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Midsegments of Triangles 5-1 Objective: To use properties of midsegments to solve problems.

Midsegments of Triangles 5-1 Objective : To use properties of midsegments to solve problems

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Midsegments of Triangles 5-1 Objective : To use properties of midsegments to solve problems. Definition of a midsegment : A midsegment of a triangle is a segment connecting the midpoints of two sides of the triangle. - PowerPoint PPT Presentation

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Page 1: Midsegments of Triangles 5-1 Objective : To use properties of  midsegments  to solve problems

Midsegments of Triangles5-1

Objective: To use properties of midsegments

to solve problems.

Page 2: Midsegments of Triangles 5-1 Objective : To use properties of  midsegments  to solve problems

Definition of a midsegment: A midsegment of a triangle is a segment connecting the midpoints of two sides of the triangle.

Page 3: Midsegments of Triangles 5-1 Objective : To use properties of  midsegments  to solve problems

Identify Parallel Segments

What are the three pairs of parallel segments ∆DEF?

0Segments RS, ST and TR are midsegments of ∆DEF.

By the Triangle Midsegment Theorem,

, and

Page 4: Midsegments of Triangles 5-1 Objective : To use properties of  midsegments  to solve problems

0 [HINT]

Page 5: Midsegments of Triangles 5-1 Objective : To use properties of  midsegments  to solve problems

Find the value of x.

REMEMBER

5-1 p.288: 8-26 even, 32, 34