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10/13/14 Geometry Bellwork

10/13/14 Geometry Bellwork. 4.1 Apply Triangle Sum Properties. 10/13/14 (Starts on Page 217 in book). Classification By Sides. Classification By Angles. Classifying Triangles. In classifying triangles, be as specific as possible. Obtuse, Isosceles. Acute, Scalene. 1. 3. 2.

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10/13/14 Geometry Bellwork

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  1. 10/13/14 Geometry Bellwork

  2. 4.1 Apply Triangle Sum Properties 10/13/14 (Starts on Page 217 in book)

  3. Classification By Sides Classification By Angles

  4. Classifying Triangles In classifying triangles, be as specific as possible. Obtuse, Isosceles Acute, Scalene

  5. 1 3 2 Theorem 4.1 Triangle Sum Theorem The sum of the measures of the interior angles of a triangle is 180o. m<1 + m<2 + m<3 = 180°

  6. Property of triangles The sum of all the angles equals 180º degrees. 60º 90º 30º + 60º 180º 30º 90º

  7. Property of triangles The sum of all the angles equals 180º degrees. 60º 60º 60º 60º + 180º 60º 60º

  8. What is the missing angle? 70º 70º ? ? + 180º 70º 70º 180 – 140 = 40˚

  9. What is the missing angle? ? 30º 78º ? + 78º 30º 180º 180 – 108 = 72˚

  10. Find all the angle measures 35x 45x 10x 180 = 35x + 45x + 10x 180 = 90x 2 = x 90°, 70°, 20°

  11. What can we find out? The ladder is leaning on the ground at a 75º angle. At what angle is the top of the ladder touching the building? 180 = 75 + 90 + x 180 = 165 + x 15˚ = x

  12. Exterior Angles vs. Interior Angles Exterior Angles are angles that are on the outside of a figure. Interior Angles are angles on the inside of a figure.

  13. Theorem 4.2 Exterior Angle Sum Theorem The measure of the exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles of the triangle

  14. Find measure of angle y 88 + 70 = y 158 = y

  15. Find the value of x • 2x = x + 32 • x = 32 2x + 40 = x + 72

  16. Corollary to Triangle Sum Theorem ACorollaryis a statement that readily follows from a theorem. The acute angles of a right triangle are complementary. m∠A + m∠B = 90o

  17. 10/13/14 Geometry Homework Textbook: Page: 221 Exercises: 1-6 All, 14-19 All Due 10/14/14

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