## Honors Geometry/Math 2 - Master List of All Properties

##### Created by:

JMWood  on October 18, 2011

##### Description:

This is a list of every single property I learned in the Honors Geometry/Math 2 course at the 2011-2012 school year at Madeira High School.

Pop out
No Messages

# Honors Geometry/Math 2 - Master List of All Properties

 Addition Property (Property of Equality)If a = b and c = d, then a + c = b + d.
1/12
Preview our new flashcards mode!

Order by

#### Definitions

Addition Property (Property of Equality) If a = b and c = d, then a + c = b + d.
Subtraction Property (Property of Equality) If a = b and c = d, then a - c = b - d.
Multiplication Property (Property of Equality) If a = b, then ca = cb.
Division Property (Property of Equality) If a = b and c does not equal 0, then a/c = b/c.
Substitution Property (Property of Equality) If a = b, then either a or b may be substituted for the other in any equation.
Reflexive Property (Property of Equality) a = a.
Symmetric Property (Property of Equality) If a = b, then b = a.
Transitive Property (Property of Equality) If a = b, and b = c, then a = c.
Reflexive Property (Property of Congruence) AB ≡ AB, ∠A ≡ ∠A.
Symmetric Property (Property of Congruence) If AB ≡ CD, then CD ≡ AB. If ∠A ≡ ∠B, then ∠B ≡ ∠A.
Transitive Property (Property of Congruence) If AB ≡ CD, and CD ≡ DE, then AB ≡ DE. If ∠A ≡ ∠B, and ∠B ≡ ∠C, then ∠A ≡ ∠C.
A Property of Proportions (APOP) 1. a/b is equivalent to the following:
a. ad = bc (this is the one most used in proofs)*
b. (a/c) = (b/d)
c. (b/a) = (d/c)
d. ((a + b)/b) = ((c + d)/d)
2. If (a/b) = (c/d) = (e/f)..., then (a + c + e + .../ b + d + f + ...).

*This property is used because it is often necessary to replace a proportion with an equivalent proportion, especially in proofs.

### First Time Here?

Welcome to Quizlet, a fun, free place to study. Try these flashcards, find others to study, or make your own.