# Thread: Can you check my work on a Geometric proof?

1. ## Can you check my work on a Geometric proof?

Hello everybody! This is a question from my sister's geometry book. I have crudely recreated the image from the book below. We are given statements, we're supposed to supply the reasons. Text as written in the book will be bold, my answers will be in blue.

Given: AC = BD
Prove: (line segment) CD ≅
(line segment) AB

30. Statement: AC = BD Reason: Given
31. Statement: AC = AB + BC Reason: Segment Addition Postulate
32. Statement: AB +BC = BD Reason: Substitution Property of Equality
33. Statement: BD = BC + CD Reason: Segment Addition Postulate
34. Statement: AB + BC = BC + CD Reason: Substitution Property of Equality (Or is it the transitive property?)
35. Statement: AB = CD Reason: Subtraction Property of Equality
36. Statement: CD = AB Reason: Symmetric Property of Equality
37. Statement: (line segment) CD ≅ (line segment) AB Reason: Definition of congruent segments
Any help you guys can give would be greatly appreciated!

2. ## Re: Can you check my work on a Geometric proof?

34. It's the substitution propert of equality

looks fine

3. ## Re: Can you check my work on a Geometric proof?

Thanks for your help! It's just so nice to have somebody check your work
(I can't for the life of me figure out how to mark this thread as solved...)