1.  ESSENTIAL QUESTION  How can you prove a mathematical statement?  Scholars will..  Write proofs involving segment addition.  Write proofs involving segment congruence.

2. If B is between A and C, then AB + BC = AC If AB + BC = AC, then B is between A and C.

4. Given:AC = AB AB = BX CY = XD Prove:AY = BD

6. Jamie is designing a badge for her club. The length of the top edge of the badge is equal to the length of the left edge of the badge. The top edge of the badge is congruent to the right edge of the badge, and the right edge of the badge is congruent to the bottom edge of the badge. Prove that the bottom edge of the badge is congruent to the left edge of the badge. Given: Prove:

7. Given: Prove:

8. A park, a shoe store, a pizza shop, and a movie theater are located in order on a city street. The distance between the park and the shoe store is the same as the distance between the pizza shop and the movie theater. Show that the distance between the park and the pizza shop is the same as the distance between the shoe store and the movie theater.

9. Compare the Reflexive Property of Equality with the Symmetric Property of Equality. How are the properties similar? How are they different?