Please answer all geometry questions

Use the diagram to answer questions 5-8. To receive full credit for the following questions, show as much work as possible. Complete the proof below that utilizes the Triangle Inequality Theorem. Name an altitude. Given: PL | MT (A) DE K is the midpoint of PT. 18 ck Prove : PK + KM > PL XX (B AB (D) CF Proof: Name a perpendicular bisector. Statements Reasons (A) DE (C) GB 1. PL || MT (B) AB (D) CF 2. LP = LT Name an angle bisector. 3. K is the midpoint of PT. 3. Given (A) DE (C) GB 4. PK = KT (B) AB (D) CF oo Name a median. 5. Vertical Angles Theorem (A) DE (C) GB 6. APKL = ATKM B) AB (D CF N 7. Triangle Inequality Theorem Choose the assumption you would make to start an indirect proof. 8. CPCTC Given: 41 is an exterior angle of AABC. Prove: 41 = m/B+ mLC 9. PK + KM > PL (A) L1 is not an exterior angle of ABC. Write the assumption you would make to start an indirect proof of the following statements. (B) L1 is an interior angle of AABC. (C) m/1 # m/B+ mLC A. If AB is an altitude of equilateral triangle ABC, then AB is a median. (S) m41 = m/B 10. Which of the following sets of numbers can be the lengths of the sides of a triangle? B. If n is an even number, then n2 is an even number. (A) 12, 9, 4 (B) 1, 2, 3 (C) 5, 5, 10 (D) V2, 5, 18 C. m/ABC 5? (A) x