1. TRANSITIVE PROPERTY of CONGRUENCE and EQUALITY GEO125 TRANSITIVE PROPERTY of EQUALITY: if a = b and b = c, then a = c. If 4 + 5 = 9 and 3 + 6 = 9, then 4 + 5 = 3 + 6. a = 5 and 5 = b, then a = b. Which of the following does NOT represent the transitive property of equality? If 4x + 2 = 7 and x = 3, then 7 = 4(3) + 2.

2. TRANSITIVE PROPERTY of CONGRUENCE and EQUALITY GEO125 ANSWER! TRANSITIVE PROPERTY of EQUALITY: if a = b and b = c, then a = c. If 4 + 5 = 9 and 3 + 6 = 9, then 4 + 5 = 3 + 6. a = 5 and 5 = b, then a = b Which of the following does NOT represent the transitive property of equality? If 4x + 2 = 7 and x = 3, then 7 = 4(3) + 2.

3. TRANSITIVE PROPERTY of CONGRUENCE and EQUALITY GEO125 TRANSITIVE PROPERTY of CONGRUENCE: if AB  CD and CD  EF then AB  EF. A CB AB  AC AB  BC What can you conclude about the triangle given the following information?

4. TRANSITIVE PROPERTY of CONGRUENCE and EQUALITY GEO125 TRANSITIVE PROPERTY of CONGRUENCE: if AB  CD and CD  EF then AB  EF. A CB AB  AC AB  BC What can you conclude about the triangle given the following information? AC  BC ANSWER! It’s an equilateral triangle!

5. TRANSITIVE PROPERTY of CONGRUENCE and EQUALITY GEO125 USE IT! Answer on next slide. BC  CD CD  DA What can you conclude about a quadrilateral with 2 pair of parallel sides given the following information?

6. TRANSITIVE PROPERTY of CONGRUENCE and EQUALITY GEO125 ANSWER! BC  CD CD  DA BC  DA A DC B It’s either a square or a rhombus! A DC B What can you conclude about a quadrilateral with 2 pair of parallel sides given the following information?