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P.O.D. #3

P.O.D. #3. advanced. basic. 110°. 34°. 158°. 110°. x °. t °. Find t . Combine your knowledge of supplementary angles and vertical angles to find x. . 158° + t ° = 180° -158° -158° t ° = 22°. 110° + 34° + x ° = 180° 144° + x ° = 180° -144° -144°

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P.O.D. #3

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  1. P.O.D. #3 advanced basic 110° 34° 158° 110° x° t° Find t. Combine your knowledge of supplementary angles and vertical angles to find x. 158° + t° = 180° -158° -158° t° = 22° 110° + 34° + x° = 180° 144° + x° = 180° -144° -144° x° = 36°

  2. Classifying Triangles Every triangle has at least two acute angles. We can classify a triangle by using the third angle. Right Triangle Acute Triangle Obtuse Triangle one obtuse angle one right angle all acute angles

  3. Classifying Triangles Another way to classify triangles is by their sides. Sides with the same length are congruent segments. Isosceles Triangle Scalene Triangle Equilateral Triangle no congruent sides at least 2 congruent sides 3 congruent sides

  4. Ready, set, measure... • Measure each angle within the triangle • Record these measurements • Add the three measurements together • Record the sum of the measures

  5. 3 2 1

  6. 3 2 1 37°

  7. 3 2 1 37° 90°

  8. 3 2 1 37° 90° 53° ?

  9. Ready, set, measure...

  10. Ready, set, measure...

  11. Ready, set, measure...

  12. Notes: The sum of the measures of the angles of a triangle is 180°. Y 119° 43° Z X 43° + 119° + m/ Z = 180° 162° + m/ Z = 180° -162° -162° m/ Z = 18°

  13. Whiteboard: x° Right isosceles triangle 45° x° + 45° + 90° = 180° x° + 135° = 180° -135° -135° x° = 45°

  14. Whiteboard: Acute equilateral triangle 60° 60° y° 60° + 60° + y° = 180° 120° + y° = 180° -120° -120° y° = 60°

  15. Whiteboard: 37° z° 108° Obtuse scalene triangle 37° + 108° + z° = 180° 145° + z° = 180° -145° -145° z° = 35°

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