Cmp. celelallze

pam wrote the equations below

1. tell how you can use repeated reasoning to find multiplication facts.

bur

2. which factors did pam use repeatedly?

make a generalization.

7 x 6 = (5 x 6) + (2 x 6) = 42

7 x 9=(5 x 9) + (2 x 9) = 63

7 x 7 = (5 x 7) + (2 x 7) = 49

it is

cts.

3. complete this equation to test whether your generalization is

true for other facts. explain.

7 x 8= ( x ) + (_x =__

Given: bc || de, and ∠gac ≅ ∠afd. prove: statement reason 1. ∠gac ≅ ∠afd given 2. ∠gac ≅ ∠afe for parallel lines cut by a transversal, corresponding angles are congruent. 3. 4. ∠afd and ∠afe are supplementary. linear pair theorem 5. m∠afd = m∠afe = 90° if two congruent angles are supplementary, then each angle is a right angle. 6. definition of perpendicular lines what is the missing step in the proof? a. statement: ∠gac and ∠gab are supplementary. reason: linear pair theorem b. statement: ∠afe ≅ ∠afd reason: transitive property of equality c. statement: ∠gac ≅ ∠baf reason: vertical angles theorem d. statement: ∠gac and ∠afd are supplementary. reason: linear pair theorem reset