Midsegment Theorem, Patterns, & The EOI 5.4 Midsegment Theorem

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

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!

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

Midsegment Theorem, Patterns, & The EOI Page 293, problem #37 Stage n 1 2 3 4 5 Midsegment Length 24 12 6 1.5 ¾