Question

review quiz 2 math-053-cr-004: secondary mathematics 2, part 1 (credit reco_) statements reason 1. △abc≅△efg 1. given 2. ac̅≅eg̅ 2. cpctc 3. ∠a≅∠e 3. cpctc 4. ab̅≅ef̅ 4. cpctc 5. cd is a median of △abc 5. given 6. 6. definition of a median 7. ad̅≅db̅ 7. 8. ad = 1/2ab 8. division property of equality 9. gh is a median of △efg 9. given 10. 10. definition of a median 11. eh̅≅hf̅ 11. 12. eh = 1/2ef 12. division property of equality 13. 1/2ab = 1/2ef 13. multiplication property of equality (see #4) 14. ad = eh 14. 15. ad̅≅eh̅ 15. definition of congruence 16. △adc≅△ehg 16. 17. cd̅≅gh̅ 17. therefore: medians of congruent triangles are congruent. 23. the best reason for statement 7 of this proof is congruent angles form congruent segments definition of a midpoint definition of perpendicular segments reflexive property

Explanation:

A median of a triangle divides the opposite - side into two congruent segments. Since \(CD\) is a median of \(\triangle ABC\) and \(D\) lies on \(AB\), \(D\) is the mid - point of \(AB\). By the definition of a mid - point, \(AD\cong DB\).

Answer:

definition of a midpoint