1. 2x 4y 10 2 x + 4y 2x + 4y = 102 x + 4y + 102= 180 2x = 102 - 4y 51 – 2y + 4y + 102 = 180 2y + 153 = 180 2y = 27 x = 51 - 2y x = 51 – 2(13.5) x = 51 – 27 81 x + 86 + 56 + 81 + 88 = 360 x + 311 = 360

2. Chapter 3 REVIEW! Chapter 3 Test Next Class!

3. Triangles

4. Triangle Sum Theorem The sum of the angles of a triangle is 180 Degrees!

5. If 2 angles of 1 triangle are congruent to 2 angles of another triangle, then the angels are congruent.

6. The exterior angle of a triangle equals the sum of the remote interior angles.

7. Acute angles of a right triangle are complementary

8. At most, there is one obtuse angle or one right angle in a triangle.

9. Angles of an equiangular triangle equal 60 degrees.

10. POLGYONS

11. INTERIOR ANGLE SUM Sum of the interior angles of a polygon with n sides

12. EXTERIOR ANGLE SUM Sum of the exterior angles of a polygon with n sides

13. EACH INTERIOR ANGLE Each of the interior angles of a polygon with n sides

14. EACH EXTERIOR ANGLE Each of the exterior angles of a polygon with n sides

15. Vocabulary Practice! True or False

16. Parallel Lines Parallel lines are noncoplanar lines that do not intersect. Parallel lines are COPLANAR lines that do not intersect!

17. Skew Lines Skew lines are noncoplanar lines. Therefore, they are neither parallel nor intersecting.

18. Same-Side Interior Angles If a transversal cuts two lines, same side interior angles are supplementary. If a transversal cuts two PARALLEL lines, same side interior angles are supplementary.

19. Corresponding Angles If a transversal cuts two parallel lines, corresponding angles are supplementary. If a transversal cuts two parallel lines, corresponding angles are congruent.

20. Alternate Interior Angles If a transversal cuts two parallel lines, alternate interior angles are congruent.

21. Alternate Interior Angles Alternate interior angles are always congruent. They are only congruent if the lines are parallel.

22. Triangle In triangle ABC, <A = 91. Triangle <ABC could be a right triangle. At most, there is one obtuse angle or one right angle in a triangle.

23. Triangle In triangle ABC, <A = 90. <B and <C are complementary

24. Triangle This is a scalene triangle: 5 5 5 This is an EQUILATERAL triangle.

25. Triangle This is an isosceles triangle: 5 5 5 An isosceles has AT LEAST 2 congruent sides.

26. PROVING LINES PARALLEL

27. Ways to Prove Two Lines Parallel 1. Show that a pair of CA are congruent. 2. Show that a pair of AI angles are congruent. 3. Show that a pair of SSI angles are supplementary. 4. Show that a pair of lines are perpendicular to the same line. 5. Show that both lines are parallel to a third line.

28. What is on my Test??? True and False Finding values of x and y in triangle diagrams and in parallel line diagrams Finding CA, SSI, AI and Vertical angles & their transversals Polygon angle values 1 fill in the blank proof 1 completely blank proof about parallel lines

29. Homework Worksheet Pg 111 1-19 all Pg 112 1-12all