1. Warm-up with 4.5 other congruence shortcuts For 1 -3 tell whether it is possible (YES or No) to draw a triangle with the given side lengths. 1) 7 in., 5 in., 10 in. ________2) 9cm, 7cm, 21 cm _______ 3) 5 ft., 4ft., 9ft. ______ Arrange the letters from greatest value to least value. 4) _______________ 5) ____________________

2. Student of the day! Block 4

3. Student of the day! Block 5

4. Student of the day! Block 6

5. H.W. Answers to pg pg 160 # 1- 5 and #10 pg 224 #4-9, and #12 - 17

6. H.W. Answers

7. Algebra Review pg 212 - 214 Properties of equality a = b Addition property a + c = b + c Subtraction property a – c = b – c Multiplication Property ac = bc Division Property Use the properties above, in addition to Distributive Property and Combining Like Terms to do 2 column proof for Algebra Equations. Can’t forget Distributive Property and Combining Like Terms We are not covering 3.5, on constructing parallel lines.

8. Solve the following. Show your steps and write your supporting properties in a proof format Steps Supporting Reaons 4x + 8 = -4 (2x – 7) + 4

9. Another 2 column proof StepsSupporting Reasons

10. 4.5 Congruence Shortcuts SSS (Side-Side-Side) when three sides of one triangle are congruent to another three sides in another triangle than the triangles are congruent. SAS (Side-Angle-Side) when two sides and an included angle of one triangle are congruent to another triangle, then the triangles are congruent. There are two other combinations that work to prove that two triangles are congruent.

11. ASA Investigation This is not a construction. 1)Draw a 4 inch segment. 2)On one end, measure a 60 degree angle and draw the other side of the angle. 3)On the other end of the 4 inch segment draw a 40 degree angle and draw the other side of the angle. 4)Notice the two sides of the 60 degree and 40 degree angle meet. This is your triangle.

12. Other congruence conjectures SAA (Side-Angle-Angle) works too. What doesn’t work: AAA (these triangles are similar) not necessarily congruent. SSA also doesn’t work.

13. 4.5 More Congruence Shortcuts SSS, SAS, ASA, and AAS; AAA and SSA

14. Conjectures C-25 ASA Congruence Conjecture – If two angles and an included side are congruent to two angles and an included side in another triangle then, ________________________. C-26 SAA Congruence Conjecture – If two angles and a non-included side, are congruent to two angles and a non-included side in another triangle then, ____________________.

15. H.W. Assignment Algebra Review pg 214 #2- 16 4.5 pg 230 #4 – 16 Prepare for 3.1 to 3.5 and 4.1 to 4.5 Quiz next block Constructions: Know how to copy an angle, a segment. Know how to construct a perpendicular bisector (finding midpoint), the shortest distance from a point to a Line, altitude, median. Know how to bisect an angle. Ch. 4 Material: Know how to use conjectures to solve for missing angles in triangles and parallel lines. Know your congruence conjectures and all conjectures. Know when two triangles are congruent.

16. Common quiz mistakes FORM A 3. FORM B 3.

17. Using linear pair to copy an obtuse angle