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Lesson 2.6 Multiplication and Division Properties

Lesson 2.6 Multiplication and Division Properties. Objective: After studying this lesson you will be able to apply the multiplication and division properties of segments and angles. If BE = UO = 3, what can we say about. If , is congruent to . J. O. M. N. K.

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Lesson 2.6 Multiplication and Division Properties

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  1. Lesson 2.6 Multiplication and Division Properties Objective: After studying this lesson you will be able to apply the multiplication and division properties of segments and angles.

  2. If BE = UO = 3, what can we say about If , is congruent to J O M N K S P R In the figure below, E, A, O, and F are trisection points. B E A T U F A O

  3. Theorem 14 If segments (angles) are congruent, their like multiples are congruent (multiplication property of equality) Theorem 15 If segments (angles) are congruent, their like divisions are congruent (division property of equality)

  4. Given: A S U E O N Prove: Statements Reasons 1. 1. 2. 2. 3. 3. 4. 4.

  5. T W Given: X A C Y R D B E Conclusion: Statements Reasons 1. 1. 2. 2. 3. 3. 4. 4. If angles are congruent, their like divisions (thirds) are congruent. (Division property)

  6. If segments are , their like multiples (doubles) are . (multiplication property) M K J Given: F G H Prove: Statements Reasons 1. 1. 2. 2. 3. 3.

  7. Halves of . (An alternative form of the division property). Complements of U A X S Given: 1 3 Y Z Prove: Statements Reasons 1. 1. Given 2. 2. Given 3. 3. Given 4. 4. 5. 5. Given 6. Given 6. 7. 7.

  8. Summary… How are the addition and subtraction theorems that you just learned similar/different? Homework Lesson 2.6 Worksheet

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