1. Review: Begin at the word “We”. Every Time you move, write down the word(s) upon which you land. We in seven days! break another have will 1. Move to the consecutive interior angle. 2. Move to the alternate interior angle. 3. Move to the corresponding angle. 4. Move to the alternate exterior. 5. Move to the exterior linear pair. 7. Move to the vertical angle. 6. Move to the alternate exterior angle.

2. Triangles & Angle Theorems Learning Target: Students can prove geometric theorems involving lines, angles, triangles and parallelograms. Learning Target: Students can prove geometric theorems involving lines, angles, triangles and parallelograms.

3. 4.1 Classifying Triangles Triangle – A figure formed when three noncollinear points are connected by segments. E D F Angle Side Vertex The sides are DE, EF, and DF. The vertices are D, E, and F. The angles are  D,  E,  F.

4. Triangles Classified by Angles AcuteObtuseRight 60º 50º 70º All acute angles One obtuse angle One right angle 120º 43º 17º 30° 60º

5. Triangles Classified by Sides Scalene IsoscelesEquilateral no sides congruent at least two sides congruent all sides congruent

6. Classify each triangle by its angles and by its sides. 60° A B C 45° E F G

7. Adjacent Sides- share a vertex ex. The sides DE & EF are adjacent to  E. E D F Opposite Side- opposite the vertex ex. DF is opposite  E.

8. Parts of Isosceles Triangles The angle formed by the congruent sides is called the vertex angle. leg The congruent sides are called legs. The side opposite the vertex is the base. base angle The two angles formed by the base and one of the congruent sides are called base angles.

9. Base Angles Theorem (4.9) If two sides of a triangle are congruent, then the angles opposite them are congruent. If, then

10. Complete the Practice Problems

11. Converse of Base Angles Theorem (4.10) If two angles of a triangle are congruent, then the sides opposite them are congruent. If, then

12. Interior AnglesExterior Angles

13. Triangle Sum Theorem (4.1) The measures of the three interior angles in a triangle add up to be 180º. x°x° y° z° x + y + z = 180°

14. Complete the Practice Problems

15. The measure of the exterior angle is equal to the sum of two nonadjacent interior angles 1 2 3 m  1+m  2 =m  3 Exterior Angle Theorem (4.3)

16. Complete the Practice Problems

17. Corollary to the Triangle Sum Theorem The acute angles of a right triangle are complementary. x°x° y°y° x + y = 90 º

18. Fill in the table AcuteObtuseRight Scalene Isosceles Equilateral