Complete these theorems and prove the following theorems in your notebook.

50. The sum of the measures of the three angles of a triangle is ________.
51. The measure of an exterior angle of a triangle is a _______.
52. A segment joining the midpoints of two sides of a triangle is _______.
53. If two angles of one triangle are congruent to two angles of a second triangle, then _______.(No Choice Theorem)
54. If there exists a correspondence between the vertices of two triangles such that _______. (AAS)
55. The sum, S_i, of the measures of the angles of a polygon with n sides is _______.
56. If one exterior angle is taken at each vertex, the sum S_e, of the measures of the exterior angles of a polygon is _______.
57. The number, d, of diagonals that can be drawn in a polygon of n sides is _______.
58. The measure, E, of each exterior angle of an equiangular polygon of n sides is _______.

EXTRA CREDIT in the TEST Category on February 6, 2007
American High School Math Exam in the Cafeteria - hours 1 and 2!

• Apply theorems about the interior angles of triangles.
• Apply theorems about the exterior angle of triangles.
• Jump-Start your Chapter with Vocabulary

Activity:  What about those triangles?  (if you have PowerPoint)
                What about those triangles? (if you don't have PowerPoint)    

Homework:  Read and take notes on section 7.1, Prove theorems 50-52, Start your vocabulary, and do p. 299-300 # 6, 7, 9, 12, 14 - 18.

• Apply the No-Choice Theorem
• Apply the AAS Theorem

Homework:  Homework:  Read and take notes on section 7.2, add some more definitions to your vocabulary, Prove theorems 53-54, and do p. 301 # 19, 23, and p. 304-306 #  5, 6, 9 - 11, 14, 15, 17, and 18   AND  p. 301 # 19 and 20

• Use important formulas that apply to polygons
• Complete the Polygon Angle Worksheet (proofs for your theorems # 55 - 58)

Homework:  Read and take notes on section 7.3, Learn the formulas in theorems 55-57, work on completing your vocabulary, and do p. 309 - 311  # 1 (a,c,e), 2, 3, 6 - 8, 10 (a, c, e), 13, and 15

• Derive and use the formulas for Polygons - angles, diagonals, etc.
• Reproduce the  Polygon Angle Worksheet (proofs needed for your theorems # 55 - 58

Homework:  Review your notes on section 7.3, Finish your vocabulary and do p. 301 # 21 and 23, and p. 311-312 #  16 - 19, 21, and 23.

• Recognize and define regular polygons
• Construct regular polygons
• Use the formula to find the measure of an exterior angle of an equiangular polygon
• Complete the Polygon Angle Worksheet for measure of exterior angles of Equiangular/Regular Polygons and use it to calculate measures of interior angles.
• Calculate the number of sides of an equiangular/regular polygon given its interior or exterior angle measure.

Homework:  Read and take notes on section 7.4, know how to derive the formula in theorem # 58 and do p. 316 - 317 # 1(a, c, e), 2 (a, c, e), 3 (a, c, e), 4 (a, c, e), 5 - 10, 13, and 16.

This Page was Updated:
02/14/2010 02:45 PM

 

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Nancy Powell
BHS Lead Teacher - Math