## Fang02 3 years ago Please check this. I'd appreciate it. What is the value of x? Justify each step? They want me to name the properties that each step belongs to. (i.e. transitive, symmetric, division property of equality, etc.) AC = 32 I'll draw it in the comments. AB + BC = AC a. Transitive Property 2x + 6x + 8 = 32 b. Addition Property of Equality 8x + 8 = 32 c. Subtraction Property of Equality 8x = 24 d. Division Property x = 3 e. Substitution

1. Fang02

|dw:1349993792702:dw| Drawing is not to scale.

2nd: 8x+8=32 8x=32-8 8x=24 x=3

you are ok with your work!!

4. Fang02

I know that the steps are correct. However, they wanted me to name the properties that each step belongs to. (i.e. transitive, symmetric, division property of equality, etc.) I know that there are nine properties in total. I just wanted to make sure that I had them with the correct steps.

5. Fang02

My main question is if they want the x = 3 step to account for the substitution property of equality or do they want me to write 'proven.'

6. vivalakoda

For x=3. it wouldn't be Substitution. You're not substituting anything, you're simplifying. I'd put simplify.

7. vivalakoda

In parentheses (proven) beside it, just in case

8. Fang02

Simplifying isn't one of the properties though. I figured that I would put substitute since I would be substituting 3 as for x.

9. Fang02

Okay, I'll do that.

10. vivalakoda

You're not substituting 3 as x though, you just simplified it to get x=3. But yeah!, I'd go with "proven" :)

11. Fang02

Okay, I have one more question. Would you mind helping me out with it?

12. vivalakoda

Sure :3

13. Fang02

For another problem that deals with this same situation; one of the steps is angle 4 = 110 degrees. I think it's corresponding property might be symmetric. What do you think?

14. vivalakoda

I disagree, symmetric property is if for example a=b, then b=a. If that information is already given to you and you're just listing it, it would be "given", but in order for me to say exactly what the property is I would have to see the rest of the problem.

15. Fang02

16. Fang02

They tell me to complete the two-column proof. (If you want me to draw the diagram let me know.) Given: angle 2 ≅angle 4, angle 2 = 110 degrees Prove: angle 3 = 70 degrees angle 2 ≅angle 4, angle 2 = 110 degrees a. Given angle 4 = 110 degrees b. ________ angle 4 + angle 3 = 180 degrees c.____________ angle 3 = 70 degrees d. ___________

17. Fang02

I think that c is the Addition Property of Equality possibly.

18. vivalakoda

Ahhhh can I see a diagram

19. Fang02

|dw:1350156185511:dw| Drawing is not to scale.

20. vivalakoda

I believe C is Corresponding Angles

21. Fang02

I don't think that that deals with proofs though..

22. vivalakoda

You're in geometry, right?

23. Fang02

Yes

24. vivalakoda

Theorems and postulates? Are you familiar with those?

25. Fang02

I know about the Pythagorean Theorem for sure. I can't remember that much about postulates right now.

26. vivalakoda

Well, postulates and theorems are used to justify proofs.

27. Fang02

Okay

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