Question: How do you problems 24-24? 24. Given: BA || ED; Cis the midpoint of BE. Prove: BC + CD > DE Statements Reasons 1. BA

How do you problems 24-24?

24. Given: BA || ED; Cis the midpoint of BE. Prove: BC + CD > DE Statements Reasons 1. BA || ED 1. Given 2. Cis the midpoint of AD 2. Given D 3. _LAELD 3. Alternative Interior Angles Postulate 4. AC = CD 4. Def of MP C B E 5. LBCALECD 5. _VAT 6. A ABC = ADEC 6. A 7. . 7. Triangle Inequality Theorem 8. 8. CPCTC 9. BC + CD > DE 9. Substitution Property of Equality 25. Given: DFEC is a square; AB = ; BC; LDBC= 55 Prove: DA > DE. FE Statements Reasons F 1-3. AFBC is a square; ED = ; CD; LADC = 550 1-3. Given 4. BD = BD 4. Reflexive Property 5. 5. Definition of Supplementary Angles D 6. 7. LDBA = 125 7. 8. 8. Definition of an Inequality 9L DBA> LDBC 9. Substitution Property of Inequality 10. 10. Hinge Theorem A B C 11. 11. Definition of a Square 12. DA > De. FE 12. Substitution Property of Equality

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