1. Multiplication and Division Properties
Section 2.6
Multiplication and Division Properties

2. Theorem 14: If segments (or angles) are congruent, their like multiples are congruent. (Multiplication Property)
Theorem 15: If segments (or angles) are congruent, their like divisions are congruent. (Division Property)

3. Using the Multiplication and Division Properties
A multiplication property is used when the segments or angles in the conclusion are greater than those in the given information
A division property is used when the segments or angles in the conclusion are smaller than those in the given information.
Watch for keywords…midpoint…trisect …

4. Two Extensions of the Division Property
HOCSAC & HOCAAC
Two Extensions of the Division Property
HOCSAC: Halves of Congruent Segments are Congruent
HOCAAC: Halves of Congruent Angles are Congruent

5. Using: Addition, Subtraction, Multiplication, Division Properties
Proof Practice
Using: Addition, Subtraction, Multiplication, Division Properties