2.6 2.7Geometric Proof Statements Vocabulary

Front

If a = b, then a + c = ?

Back

b + c (Addition Property of Equality) - This states that if two quantities are equal, adding the same value to both sides keeps them equal.

Front

What is the definition of a segment bisector?

Back

A point, line, or segment that divides a segment into two equal parts.

Front

If a = b, then a - c = ?

Back

b - c (Subtraction Property of Equality) - This states that if two quantities are equal, subtracting the same value from both sides keeps them equal.

Front

Given: AC = AB + AB. Prove: AB = ?

Back

BC (Using the Segment Addition Postulate and Transitive Property of Equality) - This shows how segments relate to each other.

Front

What does a(b + c) equal?

Back

ab + ac (Distributive Property) - This property allows you to distribute a multiplication over addition.

Front

What is the definition of angle bisector?

Back

A ray that divides an angle into two equal angles.

Front

What is the Reflexive Property of Equality?

Back

Any quantity is equal to itself (a = a).

Front

What is the Symmetric Property of Equality?

Back

If a = b, then b = a.

Front

What is the Transitive Property of Equality?

Back

If a = b and b = c, then a = c.

Front

What is the definition of congruent angles?

Back

Angles that have the same measure.