Chapter 2 Flashcards
What are the properties of congruence?
Reflexive
Symmetric
Transitive
What are the properties of equality?
Addition Subtraction Multiplication Division Reflexive Symmetric Transitive Substitution Distributive
Addition property of equality
A=b and c=d,
then
A+c=b+d
Subtraction property of equality
A=b and c=d
A-c=b-d
Multiplication property of equality
A=b and c= d
Ac=bc
Division property of equality
Exception is 0
Reflexive property of equality
A=a
Symmetric property of equality
A=b then b=a
Transitive property of equality
A=b and b=c, then a=c
Substitution property of equality
If a=b, then a can be substituted for b in any equation or inequality
Distributive property of equality
A(b+c) = ab+ ac
Reflexive property of congruence
Angle a is congruent to angle a
Symmetric property of congruence
Angle a is congruent to angle b, then angle b is congruent to angle a
Transitive property of congruence
Angle a is congruent to angle b and angle b is congruent to angle c, then angle a is congruent to angle c.