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Section 2.6

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 ).

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Section 2.6

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

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

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