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|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!!
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.
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.'
For x=3. it wouldn't be Substitution. You're not substituting anything, you're simplifying. I'd put simplify.
In parentheses (proven) beside it, just in case
Simplifying isn't one of the properties though. I figured that I would put substitute since I would be substituting 3 as for x.
Okay, I'll do that.
You're not substituting 3 as x though, you just simplified it to get x=3. But yeah!, I'd go with "proven" :)
Okay, I have one more question. Would you mind helping me out with it?
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?
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.
Okay, just a moment please.
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. ___________
I think that c is the Addition Property of Equality possibly.
Ahhhh can I see a diagram
|dw:1350156185511:dw| Drawing is not to scale.
I believe C is Corresponding Angles
I don't think that that deals with proofs though..
You're in geometry, right?
Theorems and postulates? Are you familiar with those?
I know about the Pythagorean Theorem for sure. I can't remember that much about postulates right now.
Well, postulates and theorems are used to justify proofs.