Algebraic Proofs in Saxon Geometry

What will the next video focus on?

• Geometric proofs

• Algebraic equations

• Properties of congruence

• Simplification techniques

Which property states that if you add something to one side of an equation, you must add the same thing to the other side?

• Division Property

• Multiplication Property

• Subtraction Property

• Addition Property

Why is division by zero not allowed in algebra?

• It is not a property of equality

• It is not a property of congruence

• It is undefined

• It is too complex

Which property states that a number equals itself?

• Reflexive Property

• Substitution Property

• Transitive Property

• Symmetric Property

What is the transitive property of equality?

• a = a

• If a = b, then b can replace a

• If a = b and b = c, then a = c

• If a = b, then b = a

Which property states that if a = b, then b = a?

• Transitive Property

• Substitution Property

• Reflexive Property

• Symmetric Property

What does the substitution property of equality allow you to do?

• Add terms in any order

• Divide terms in any order

• Substitute one expression for another

• Multiply terms in any order

Which property allows you to add or multiply numbers in any order and still get the same result?

• Substitution Property

• Commutative Property

• Associative Property

• Distributive Property

What is the associative property concerned with?

• The order of addition and multiplication

• The grouping of addition and multiplication

• The substitution of expressions

• The equality of numbers

Which property explains why multiplication and division must be applied to every term on both sides of an equation?

• Distributive Property

• Substitution Property

• Associative Property

• Commutative Property