Use the following information to answer the question. Given: A, B, C, and D are collinear points.
B is between A and C.
C is between B and D.
B and C are both between A and D.
AB=CD
Prove: AC =BD
Statements
Reasons
11. AB - CD
1. Given
12. BC = BC
12. Reflexive Property of Equality
3. AB + BC BC + CD 3.7
14. B is between A and C. 4. Given
5. AB + BC = AC 15. Definition of between
16. AC = BC + CD 6. Substitution Property of Equality
7. C is between B and D. 17. Given
8. BC + CD BD 18. Definition of between
19. AC = BD
9. Substitution Property of Equality
What is the reason for Statement 3?
O Reflexive Property of Equality
Addition Property of Equality
O Subtraction Property of Equality
O Substitution Property of Equality