Transcript 5.1 Midsegments of Triangles - Cardinal O'Hara High School
5.1 Midsegments of Triangles • A
midsegment of a triangle
is a segment connecting the midpoints of two sides of the triangle.
– There are two special relationships between a midsegment of a triangle and the third side of the triangle.
Triangle Midsegment Theorem • If a segment joins the midpoints of two sides of a triangle, then the segment is parallel to the third side and is half as long.
Identifying Parallel Segments • What are the three pairs of parallel segments in triangle DEF?
• RS, ST, and TR are the midsegments of triangle DEF.
• Therefore, RS || DF, ST || ED, and TR || FE.
Finding Lengths • In triangle QRS, T, U, and B are midpoints. What are the lengths of segment TU, segment UB, and segment QR?
TU TU
1 2
SR
1 (40) 2 20
UB
1 2
QS
1 (50) 2
UB
25
TB
1 2
QR
30 1 2 (
QR
)
QR
60
More Practice!!!!!
• Homework – Textbook p. 288 #7 – 24 ALL.