Question

Chapter 2&3 AIR REVIEW; 10 Grade Geometry.

Answer 1

\(Reflexive~Property\) A quantity is congruent (equal) to itself. a = a
\(Symmetric~Property\) If a = b, then b = a.
\(Transitive~Property\) If a = b and b = c, then a = c.
\(Addition~Postulate\) If equal quantities are added to equal quantities, the sums are equal.
\(Subtraction~Postulate\) If equal quantities are subtracted from equal quantities, the
differences are equal.
\(Multiplication~Postulate\) If equal quantities are multiplied by equal quantities, the
products are equal. (also Doubles of equal quantities are
equal.)
\(Division~Postulate\) If equal quantities are divided by equal nonzero quantities,
the quotients are equal. (also Halves of equal quantities are
equal.)
\(Substitution~Postulate\) A quantity may be substituted for its equal in any
expression.

[Source] https://www.eastauroraschools.org/cms/lib/NY19000901/Centricity/Domain/285/Geometry%20theorems%20and%20postulates.htm

Answer 2

I appreciate all that work, but I'm confused on what that is.

Answer 3

Those are the properties in which you use to identify
\(If~MN=AD~and~AD=XY,~then~MN=XY\)