Geometry Basics - Proofs

Front

What is the Subtraction Property of Equality?

Back

If two expressions are equal, subtracting the same value from both sides maintains the equality.

Front

State the Transitive Property of Equality.

Back

For any numbers a, b, and c, if a = b and b = c, then a = c.

Front

What does the Distributive Property state?

Back

The Distributive Property states that a(b + c) = ab + ac.

Front

Explain the Transitive Property in the context of equality.

Back

If AB = CD and CD = EF, then AB = EF.

Front

What is the Addition Property of Equality?

Back

If two expressions are equal, adding the same value to both sides maintains the equality.

Front

How can the Distributive Property be applied in algebraic expressions?

Back

It can be used to simplify expressions by distributing a multiplier across terms inside parentheses.

Front

What is the significance of the Subtraction Property in solving equations?

Back

It allows for isolating variables by removing terms from both sides of an equation.

Front

Provide an example of the Transitive Property in use.

Back

If x = 5 and 5 = y, then x = y.

Front

How does the Addition Property help in solving equations?

Back

It allows you to add the same number to both sides of an equation to maintain equality.

Front

What is an example of the Distributive Property?

Back

3(x + 4) = 3x + 12.