Question

Complete the two-column proof.
I think B is Substitution Property?

Answer 1

Substitution Property
Subtraction Property of Equality
Division Property of Equality
Symmetric Property of Equality
Reflexive Property of Equality
Addition Property of Equality

Answer 2

i think it's either reflexive or symmetric property of equality. haven't done this kind of geometry in quite awhile, but the point is:

if angle 2 and angle 4 are equal, and angle 4 is 110 degrees, since 2 and 4 are equal angle 2 must also be 110 degrees.

not sure if that is considered reflexive or symmetric though. my assumption would be reflexive. if you've got a book, check out the definitions for each

Answer 3

@enya.gold: You forgot the Transitive, Distributive, and Multiplication Properties. There are nine in total.

Answer 4

Transitive, maybe?

<2 = <4, <2 = <4 = 110?

Answer 5

The Transitive Property has three terms. a = b, b = c, then a = c. It has to always be in this order to make it transitive.

Answer 6

(a) Angle 2 = (b) Angle 4, (b) = (c)?, (a) Angle 2 = 110.

Answer 7

I think you are correct.

Answer 8

Right.
So the next proof would be Addition Equality

Answer 9

If equal quantities are added to equal quantities, the sums are equal.

Answer 10

I haven't heard of that before, but I would think so. With multiplication a positive times a positive is a positive. Also, if you add an even number with an even number it will come out with an even product. So, I think that would be correct as well.

Answer 11

I'll conclude the final proof with the Subtraction Property.\[180 - 110 = 70\]\[m \angle 3 = 70\]

Answer 12

Yup, I believe that is correct.