Multiplication and Division Properties

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Presentation transcript:

Multiplication and Division Properties Section 2.6 Multiplication and Division Properties

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)

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 …

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

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