2.5.3 Triangle Midsegments
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The document discusses midsegments of triangles. A midsegment is a segment that joins the midpoints of two sides of a triangle. The triangle midsegment theorem states that a midsegment of a triangle is parallel to a side of the triangle, and its length is half the length of that side. Examples are provided to demonstrate finding the measures of midsegments and related angles using properties of midsegments.
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2.5.3 Triangle Midsegments
- 1. Triangle Midsegments The student is able to (I can): • Identify a midsegment of a triangle and use it to solve problems.
- 2. midsegment A segment that joins the midpoints of two sides of a triangle. H O T I C E Points I, C, and E are midpoints of ∆HOT. IC, CE, andEI are midsegments.
- 3. Triangle Midsegment Theorem A midsegment of a triangle is parallel to a side of the triangle, and its length is half the length of that side. H O T I C E 1 IC HT,IC HT 2 =
- 4. Examples Find each measure. 1. FE FE = 2(LT) = 2(14) = 28 2. m∠UFE m∠UFE = m∠TSE = 62º 3. UE UE = 2(9) = 18 F L U T E S 14141414 62º62º62º62º LT and TS are midsegments. 9