Classify each statement as true or false. _______ If Y is the midpoint of FN, then CY || AN.

1. Geometry/Trig 2 Name __________________________ 5-3 Homework Date ___________________________ • Classify each statement as true or false. • _______ If Y is the midpoint of FN, then CY || AN. • _______ CY = AN. • _______ If CY || AN, then Y is the midpoint of FN. • _______ If CY || AN, then CP = YQ. F C Y A P Q N M is the midpoint of AB and N is the midpoint of CB. Find x and y. B A 5. 6. 3y – 8 12 5x + 5 N x + 5 M M 2(y + 1) 15 3y + 3 3x – 10 C A C N B x = ______ y = ______ x = ______ y = ______ • M is the midpoint of XZ, N is the midpoint of ZY and P is the midpoint of XY. Find the missing value. • If XY = 30, then MN = ______. • If MP = 13.5, then YZ = ______. • If MZ = 6, then NP = ______. • 10. If YZ = 4a, then MP = ______. • If mYNP = 84, then mZ = ______. • If mZMN = 70 and mZNM = 55, then mX = ______. • 13. If the perimeter of ΔMNP = 36, then the perimeter of ΔXYZ = ______. Z M N X P Y

2. Geometry/Trig 2 5-3 Homework Page 2 • AW, BX, CY, and DZ are parallel and WX  XY  YZ. • If AD = 21, then CD = ______. • If BD = 32, then BC = ______. • If AC = 5x – 8 and AB = x + 5, then x = _____. • If WY = 4x + 33 and XZ = 6x – 13, then x = _____. • 18. If BC = 7x and AD = 9x + 24, then x = _____. A W B X C Y D Z M 19) Complete the proof. Given: LOPR is a parallelogram ΔLMR ΔPQO Prove: MOQR is a parallelogram O L P Q R Statements Reasons 1. LOPR is a 1. ______________________________ 2. ________________________________ 2. Opposite sides of a parallelogram are congruent. 3. ΔLMR ΔPQO 3. ______________________________ 4. RM  ____; LM  _____ 4. ______________________________ 5. LM + MO = LO _______________________________ 5. ______________________________ 6. LM + MO = PQ + QR 6. ______________________________ 7. ________________________________ 7. ______________________________ 8. ________________________________ 8. ______________________________