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Geometry Section 5.4 Midsegments

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Geometry Section 5.4 Midsegment s. A midsegment of a triangle is the segment joining the midpoints of two sides of a triangle. Theorem 5 .9 Midsegment Theorem A midsegment of a triangle is parallel to the third side and half as long as the third side. - PowerPoint PPT Presentation

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Page 1: Geometry Section 5.4 Midsegment s

Geometry Section 5.4

Midsegments

Page 2: Geometry Section 5.4 Midsegment s

A midsegment of a triangle is the segment joining the midpoints of two sides of a triangle.

Page 3: Geometry Section 5.4 Midsegment s

Theorem 5.9 Midsegment Theorem

A midsegment of a triangle is parallel to the third side and half as

long as the third side.

Page 4: Geometry Section 5.4 Midsegment s

Example: Find the values of all variables:

135w45z4x 5.

542

y

y

Page 5: Geometry Section 5.4 Midsegment s

Example: Consider with vertices A(0, 0), B(6, 2) and C(4, 8). Find the length of the

midsegment joining the midpoints of and . Secondly, write the equation of the line

containing this midsegment.

ABC

AB BC


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