Unit 6 Test Review: Proofs

Front

What is the Symmetric Property of Equality?

Back

If a = b, then b = a. This property states that if two values are equal, you can switch them around.

Front

What is the Reflexive Property of Equality?

Back

For any number a, a = a. This property states that any quantity is equal to itself.

Front

What is the Transitive Property of Equality?

Back

If a = b and b = c, then a = c. This property allows you to conclude equality between two values based on a third.

Front

What is the Substitution Property?

Back

If a = b, then a can be replaced by b in any expression. This property is used to simplify equations.

Front

What does it mean for angles to be congruent?

Back

Two angles are congruent if they have the same measure. This is often indicated by markings in diagrams.

Front

How can you determine if two angles are congruent from a diagram?

Back

Look for markings that indicate congruence, such as arcs or equal signs next to the angles.

Front

What is the difference between equality and congruence?

Back

Equality refers to the same value (numbers), while congruence refers to the same shape and size (geometric figures).

Front

What is an example of using the Reflexive Property of Congruence?

Back

If ∠A is an angle, then ∠A ≅ ∠A. This property states that any geometric figure is congruent to itself.

Front

What is the Addition Property of Equality?

Back

If a = b, then a + c = b + c. This property states that you can add the same value to both sides of an equation.

Front

What is the Subtraction Property of Equality?

Back

If a = b, then a - c = b - c. This property states that you can subtract the same value from both sides of an equation.