1. Midsegment Theorem, Patterns, & The EOI
5.4
Midsegment Theorem

2. DE ║ AC DE = ½ AC 5.4 Using Midsegments
In lessons 5.2 and 5.3, you studied four special types of segments of a triangle: ⊥bisectors, ∠ bisectors, medians, and altitudes. Another special type of segment is called a midsegment. A midsegment is a segment that connects the midpoints of two sides.
MIDSEGMENT THEOREM
Theorem 5.9
The segment connecting the midpoints of two sides of a triangle is parallel to the third side and is half as long.
DE ║ AC
DE = ½ AC
5.4
Midsegment Theorem

3. Midsegment Theorem, Patterns, & The EOI
Let’s practice!
Turn to page 293 in your textbook and complete the chart on problem #37.
You have five minutes!

4. Midsegment Theorem, Patterns, & The EOI
Page 293, problem #37
Stage n 1 2 3 4 5
Midsegment Length 24

5. Midsegment Theorem, Patterns, & The EOI
Page 293, problem #37
Stage n 1 2 3 4 5
Midsegment Length 24 12 6
1.5