2. 5-Minute Check       1 1  Angle 1, symmetric AB = TU, Transitive RSWX 28 Substitution

3. Students will analyze & write proofs using geometric theorems. Why? So you can prove angles are congruent, as seen in EX 21. Mastery is 80% or Better on 5- Minute Checks and Indy Work.

5. The given is the hypothesis of a conditional The prove is the conclusion of a conditional Let’s analyze If m  2 = m  3 and m  AXD = m  AXC, then m  1 = m  4 Now we just need to find “evidence” that this is a true statement and list it. Written as a conditional statement Skill Development

6. Always start a proof by restating the given information Given is your first reason What  ’s add together here Prove is never a reason Skill Development

7. Skill Development Your first Theorems

9. What was the Objective? Students will analyze & write proofs using geometric theorems. Why? So you can prove angles are congruent, as seen in EX 21. Mastery is 80% or Better on 5-Minute Checks and Indy Work.

10.  Definition of a segment  Ruler Postulate (1-1)  Segment Addition Postulate (1-2)  Distance Formula  Definition of a midpoint  Midpoint Formula  Definition of an angle  Definition of ray  Definition of an interior point/angle  Definition of an exterior point/angle  Protractor Postulate (1-3)  Angle Addition Postulate (1-4)  Definition of a right angle  Definition of an obtuse angle  Definition of an acute angle  Definition of adjacent angles  Definition of vertical angles  Definition of a linear pair  Definition of supplementary angles  Definition of complementary angles  Definition of perpendicular lines  Definition of straight angle  Definition of an angle bisector  Definition of collinear points  Definition of coplanar points  Definition of congruent segments/angles  Two points - Line Postulate (2-1)  Three points - Plane Postulate (2-2)  Line - Two points Postulate (2-3)  Plane - Three points Postulate (2-4)  Line in Plane Postulate (2-5)  Plane intersection Postulate (2-6)  Law of Detachment  Law of Syllogism  Reflexive Property  Symmetric Property  Transitive Property  Add/Subtract Property  Mult/Division Property  Substitution Property  Distributive Property A list of reasons that could be used so far (This isn't comprehensive but it is close.... The bolded ones are the more commonly used) :

11. Think…..Ink….Share symmetric transitive Subst. distributive + prop of = reflexive÷ prop of = - Prop of =

12. given transitive Def. of midpoint

13. given Def of  lines Def of a rt   + postulate Subst. Guided Practice

14. given Linear pair  ’s are supp. Def of a linear pair Subst. - Prop of = With a Partner ….Think…Ink…Share

15. Performance Task-White Boards List the reasons only Given Reflexive Segment Add Substitution

16. Exit Slips What 2 steps are easiest is writing a proof? What is / are the most challenging step(s)for you? What do you need more help with?

17. What was the Objective? Students will analyze & write proofs using geometric theorems. Why? So you can prove angles are congruent, as seen in EX 21. Mastery is 80% or Better on 5-Minute Checks and Indy Work.

18. Homework Page 116-117 # 1-19 All