Multiplication & Division Properties

1. Multiplication & Division Properties Lesson 2.6

2. Theorem 14: If segments or angles are congruent, then their like multiples are congruent. (property of multiplication.)

3. B,C and F,G are trisection points on two segments AD and EH respectfully. If AB = EF = 3, What can you say about AD and EH? Draw and label segments Write a conclusion

5. Theorem 15: If two segments or angles are congruent, then their like divisions are congruent. (Property of division)

6. Multiplication and Division Proofs: • Look for a double use of the word midpoint, trisection, bisect in the given information • Multiplication Property is used when the segments or angles in the conclusion are greater than those in the given information. • Division Property is used when the segments or angles in the conclusion are smaller than the given information.

7. Given: <CAT is congruent to <DOG Ray AT and ray AK trisect <CAR Ray OG and ray OF trisect <DOP Prove: <CAR is congruent to < DOP Draw and label

8. Given: <CAT is congruent to <DOG Ray AT and ray AK trisect <CAR Ray OG and ray OF trisect <DOP Prove: <CAR is congruent to < DOP D C G T F K A P O R

9. What property will you use? Write your proof. • CAT isto DOG • AT and AK trisectCAR • OG and OF trisect DOP • CAT   TAK   KAR •  DOG  GOF  FOP •  CAR DOP • Given • Given • Given • If 2 rays trisect an , they divide it into 3  s. • Same as #4 • Multiplication Property