6.4 Triangle Midsegments
0 likes372 views
The document discusses triangle midsegments. 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 using the theorem to find the measures of lengths and angles associated with midsegments in triangles.
1 of 5
Download to read offline
6.4 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. midsegmentmidsegmentmidsegmentmidsegment –––– 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 ΔHOT. , ,andIC CE EI 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 , 2 IC HT HT=IC
- 4. Examples Find each measure. 1. FE 2. m∠UFE 3. UE F L U T E S 14141414 62626262°°°° andLT TS are midsegments. 9
- 5. Examples Find each measure. 1. FE FE = 2(LT) = 2(14) = 28 2. m∠UFE m∠UFE = m∠TSE = 62° 3. UE UE = 2(9) = 18 F L U T E S 14141414 62626262°°°° andLT TS are midsegments. 9