Section 5.1- Midsegments of Triangles

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Presentation transcript:

Section 5.1- Midsegments of Triangles Coach Douglas- Geometry November 30th

Objective I will use the properties of mid segments to solve problems. Begin warm up on 5.1 notes.

Midsegment A segment that connects the midpoints of two sides of a triangle. D is the midpoint of side BA. E is the midpoint of side AC. Line DE is a midsegment of ΔABC.

Midsegment Theorem The midsegment theorem makes two statements: 1) Each midsegment is parallel to a side of triangle. 2) The length of a midsegment is half the parallel side.

Using the Midsegment Theorem Midsegment DE is parallel to side BC The length of DE is equal to half of BC. DE= 1/2 *BC