Lesson 5 1 Midsegments Review Midpoints Midpoint Segment

Lesson 5. 1: Midsegments

Review – Midpoints • Midpoint: • Segment Midpoint Formula:

Midsegments • Midsegment: • Parallel effects: A • Ex: B C

Practice • D is the midpoint of AB. E is the midpoint of AC. F is the midpoint of BC. Construct midsegments DE, EF, and DF. B A C

Practice A • DB = 10. AD = ___ • FE = ___ D E • DF = 32. AC = ___ • DE = 2 x + 14. BC = 36. x = ____ B F C

Practice P • QT = 15. PU = ___ • TU = 18. ST = 3 x + 6. x = ___ Q • SQ = 2 y + 14. SP = 36 y = ___ S T U

Practice

Application • The distance from A to E is 250 m. However, if AC is closed to construction, then what is the length of the shortest route from A to E? A 50 m B D C 200 m E

Classwork • Lesson 5. 1, #1 – 5. 20 minutes.

Algebra I Review

Review – Solving Equations • Solve each equation for x: 3 x + 6 = 12 3 x + 6 y + 3 x = 12 3 xy + 3 y = 12

Systems of Equations • System of equations: • Tips: • Ex: 2 x + y = 12 3 x + y = 17 x + 5 y = 23 3 x – 2 y = 18

Practice • Solve each system of equations: x–y=2 3 x + 2 y = 16 2 x + y = 9 2 x + 2 y = 14

Practice • Solve each system of equations: x+y=3 4 x – 2 y = 6 4 x – y = 16 3 x + 5 y = 27

Homework • Lesson 5. 1, #15 – 43 odd, skip 37. • Lesson 5. 4, #8 – 13, 17 – 18 Lesson 5. 5, #7 – 17 odd