If a=b and c=d, then ac=bd.
If a=b, then b=a.
If a=b and b=c, then a=c.
A=a
Reflexive Property of Equality
Powers Postulate
Transitive Property of Equality
Symmetric Property of Equality
If AB=BC and BC=CD, then AB=CD.
If a=b and c=d, then a+c=b+d.
If a=b and c=d, then a-c=b-d.
If a=b and c=d, then ac=bd.
A=a
If a=b, then b=a.
If a=b and c=d, then a+c=b+d.
If a=b and c=d, then a-c=b-d.
Substitution Postulate
Powers Postulate
Subtraction Postulate
Partition Postulate
If congruent angles are added to congruent angles, the sums are congruent.
If congruent segments are subtracted from congruent segments, the differences are congruent.
A quantity may be substituted for its equal in any statement of equality.
A whole is equal to the sum of all its parts.
Addition Postulate
Subtraction Postulate
Substitution Postulate
Multiplication Postulate
If a=b, then a^2=b^2.
If a=b and a>0, then √a=√b.
If a=b and c=d, then ac=bd.
If a=b and c=d, then a+c=b+d.
Division Postulate
Roots Postulate
Powers Postulate
Addition Postulate
If a=b and c=d, then a-c=b-d.
If a=b and c=d, then a+c=b+d.
If a=c and c=d, then ac=bd.
If x=y and y=8, then x=8.
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