3.4 parallel lines and the triangle angle-sum theorem 12.0 students find and use measures of...

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3.4 parallel Lines and the Triangle Angle-Sum Theorem 12.0 Students find and use measures of interior and exterior angles of triangles to classify figures and solve problems 13.0 Students prove relationships between angles in polygons by using properties of complementary, supplementary, vertical, and exterior angles

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Page 1: 3.4 parallel Lines and the Triangle Angle-Sum Theorem 12.0 Students find and use measures of interior and exterior angles of triangles to classify figures

3.4 parallel Lines and the Triangle Angle-Sum Theorem

12.0 Students find and use measures of interior and exterior angles of triangles to classify figures and solve

problems13.0 Students prove relationships between angles in

polygons by using properties of complementary, supplementary, vertical, and exterior angles

Page 2: 3.4 parallel Lines and the Triangle Angle-Sum Theorem 12.0 Students find and use measures of interior and exterior angles of triangles to classify figures

Triangle Angle-Sum Theorem

• The sum of the measures of the angles of a triangle is 180

Page 3: 3.4 parallel Lines and the Triangle Angle-Sum Theorem 12.0 Students find and use measures of interior and exterior angles of triangles to classify figures

Example #1

Page 4: 3.4 parallel Lines and the Triangle Angle-Sum Theorem 12.0 Students find and use measures of interior and exterior angles of triangles to classify figures

Example #2

Page 5: 3.4 parallel Lines and the Triangle Angle-Sum Theorem 12.0 Students find and use measures of interior and exterior angles of triangles to classify figures

Example #3

Page 6: 3.4 parallel Lines and the Triangle Angle-Sum Theorem 12.0 Students find and use measures of interior and exterior angles of triangles to classify figures

Classifying Different Triangles

Page 7: 3.4 parallel Lines and the Triangle Angle-Sum Theorem 12.0 Students find and use measures of interior and exterior angles of triangles to classify figures

Vocabulary

• Exterior angle of a polygon – an angle formed by an side and an extension of an adjacent side

Page 8: 3.4 parallel Lines and the Triangle Angle-Sum Theorem 12.0 Students find and use measures of interior and exterior angles of triangles to classify figures

Vocabulary

• Remote interior angle – two nonadjacent interior angles

Page 9: 3.4 parallel Lines and the Triangle Angle-Sum Theorem 12.0 Students find and use measures of interior and exterior angles of triangles to classify figures

Example #1

123°

X

90

Page 10: 3.4 parallel Lines and the Triangle Angle-Sum Theorem 12.0 Students find and use measures of interior and exterior angles of triangles to classify figures

Example #2

57°57°

Z

Page 11: 3.4 parallel Lines and the Triangle Angle-Sum Theorem 12.0 Students find and use measures of interior and exterior angles of triangles to classify figures

Example #3

43°

20°

X Y

35°

Z

Page 12: 3.4 parallel Lines and the Triangle Angle-Sum Theorem 12.0 Students find and use measures of interior and exterior angles of triangles to classify figures

Assignment

• Pg 150 #1-9, 20, 24, 26

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