1. Welcome back…hope you had a wonderful break! Bellringer…Monday (Everyone: new sheet of GRAPH paper, label with name, date) Graph the line segment & find its length: T (4, -3) H (-5, 2)

2. Properties of Equality

3. Properties of Equality ( ) or Congruence ( )

4. Definition of congruent angles

5. Definition of Right Angles:

7. Prove it! Statements:Reasons: 1. <A is a right angle.1. 2. <B is a right angle.2. 3. m<A = 90°3. 4.4. Definition of right angle. 5. 5. Substitution. 6.<A < B6. Definition of congruent angles.

8. If <A and <B are supplementary and < B and < C are congruent. Prove that m<A + m<C=180*. StatementsReasons 1.<A & <B are supplementary1. Given 2.<B & <C are congruent2. Given 3.m<A + m<B =180*3. Def. of supplementary angles 4.m<B = m<C4. Def. of congruent angles 5.m<A + m<C = 180*5. Substitution

9. Jumbled Proofs Packet Get them in order: Write in correct order (same or different page) Cut & paste in correct order on another page

10. COW Day….math XL #4 (proofs)

11. Bellringer…Tuesday COPY the following and DRAW a picture showing the points are collinear: Given: H, I, J, and K are collinear points HJ = IK Prove: HI = JK and that the same segments are congruent.

12. Conditional Statements A statement with two parts: hypothesis and conclusion IF… THEN…

13. If you vote in the election, then ____________________. (let’s just name one option here, not all requirements)

14. Converse Switch (transpose) the hypothesis and conclusion.

15. Inverse Negate (____________) the hypothesis and conclusion of a conditional statement ***Use the original statement here!***

16. Contrapositive Negate both the hypothesis and conclusion of the converse ***Inverse of the converse***

17. If it is snowing, then it is cold.

18. Which is true??? Converse: If it is cold, then it is snowing. Inverse: If it is not snowing, then it is not cold. Contrapositive: If it is not cold, then it is not snowing.

19. Write the three other statements for the statements below. Then tell whether each statement is true (T) or false (F). 1.If a polygon is a triangle, then the sum of the measures of its interior angles is 180*. 2.If you drive a car, then you are at least 16 years old. 3.If two angles are vertical angles, then they are congruent.