1. Lesson 2.4 AIM: Properties of Equality and Congruence DO NOW: Draw a conclusion from the following statements. 1. If an integer ends in 4, it is divisible by 2. 2. If an integer is divisible by 2, it is even. CONCLUSION: If an integer ends in 4, it is even.

2. The Reflexive Property states I am as tall as myself.

3. The Symmetric Property states If I am as tall as my brother, my brother is as tall as me.

4. The Transitive Property states If I am as tall as my brother, and my brother is as tall as my cousin, I am as tall as my cousin.

5. Name the Property a.Symmetric Property b.Reflexive Property c.Transitive Property

6. Prove MN = PQ STATEMENTJUSTIFICATION

7. Prove MN = PQ STATEMENT 1. MN = NP JUSTIFICATION 1. Definition of Midpoint

8. Prove MN = PQ STATEMENT 1.MN = NP 2. NP = PQ JUSTIFICATION 1. Definition of Midpoint 2. Definition of Midpoint

9. Prove MN = PQ STATEMENT 1.MN = NP 2. NP = PQ 3. MN = PQ JUSTIFICATION 1. Definition of Midpoint 2.Definition of Midpoint 3.Transitive Property

10. Prove Angle 1 is Congruent to Angle 2 STATEMENTJUSTIFICATION

11. Prove Angle 1 is Congruent to Angle 2 STATEMENT 1.A 1 + A 3 = 180 JUSTIFICATION 1. Definition of Supplementary

12. Prove Angle 1 is Congruent to Angle 2 STATEMENT 1.A 1 + A 3 = 180 2. A 2 + A 3 = 180 JUSTIFICATION 1. Definition of Supplementary 2. Definition of Supplementary

13. Prove Angle 1 is Congruent to Angle 2 STATEMENT 1.A 1 + A 3 = 180 2. A 2 + A 3 = 180 3. A 1 + A 3 = A 2 + A 3 JUSTIFICATION 1. Definition of Supplementary 2. Definition of Supplementary 3.Substitution Property

14. Prove Angle 1 is Congruent to Angle 2 STATEMENT 1.A 1 + A 3 = 180 2. A 2 + A 3 = 180 3.A 1 + A 3 = A 2 + A 3 - A 3 - A 3 JUSTIFICATION 1. Definition of Supplementary 2. Definition of Supplementary 3.Substitution Property

15. STATEMENT 1.A 1 + A 3 = 180 2. A 2 + A 3 = 180 3.A 1 + A 3 = A 2 + A 3 - A 3 - A 3 4. A1 = A2 JUSTIFICATION 1. Definition of Supplementary 2. Definition of Supplementary 3.Substitution Property 4. Subtraction Property of Equality Prove Angle 1 is Congruent to Angle 2

16. Summary Question Identify the following property: If AB = BC and BC = CD, then AB = CD.