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1.5 Triangles and Special Quadrilaterals

1.5 Triangles and Special Quadrilaterals. Objective: I CAN define different types of triangles and special quadrilaterals. 50°. 40°. 64°. 26°. 45°. 45°. 45°. 60°. 60°. 60°. 53°. 82°. 66°. 25°. YES. one right (90°) angle Other Observations complementary acute angles

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1.5 Triangles and Special Quadrilaterals

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  1. 1.5 Triangles and Special Quadrilaterals Objective: I CAN define different types of triangles and special quadrilaterals.

  2. 50° 40° 64° 26° 45° 45° 45° 60° 60° 60° 53° 82° 66° 25° YES • one right (90°) angle • Other Observations • complementary acute angles • sum of all angles = 180° Right Triangle NO Serra - Discovering Geometry Chapter 1: Introducing Geometry

  3. Acute Triangle 71° 49° 60° 57° 60° 60° 60° 89° 34° 66° 110° 35° 35° 25° YES • all three acute angles • Other Observations • sum of all angles = 180° NO Serra - Discovering Geometry Chapter 1: Introducing Geometry 3

  4. Obtuse Triangle 111° 41° 19° 50° 40° 40° 92° 47° 100° 66° 131° 35° 35° 25° YES • one obtuse angle • Other Observations • sum of all angles = 180° NO Serra - Discovering Geometry Chapter 1: Introducing Geometry 4

  5. Scalene Triangle 9 5 10 10 7 13 60° 45° 60° 60° 45° YES • no congruent sides NO Serra - Discovering Geometry Chapter 1: Introducing Geometry 5

  6. Equilateral Triangle 7 7 7 9 5 45° 10 45° YES • three congruent sides NO Serra - Discovering Geometry Chapter 1: Introducing Geometry 6

  7. Isosceles Triangle 9 5 10 YES • at least two congruent sides NO Serra - Discovering Geometry Chapter 1: Introducing Geometry 7

  8. Trapezoid YES • quadrilateral • only one pair of parallel sides NO Serra - Discovering Geometry Chapter 1: Introducing Geometry 8

  9. Kite YES • quadrilateral • two distinct pairs of consecutive congruent sides NO Serra - Discovering Geometry Chapter 1: Introducing Geometry 9

  10. Parallelogram YES • quadrilateral • two pairs of parallel sides NO Serra - Discovering Geometry Chapter 1: Introducing Geometry 10

  11. Rhombus YES • quadrilateral • two pairs of parallel sides • all sides congruent • equilateral parallelogram NO Serra - Discovering Geometry Chapter 1: Introducing Geometry 11

  12. Rectangle YES • parallelogram • four congruent angles NO Serra - Discovering Geometry Chapter 1: Introducing Geometry 12

  13. Square 45° 45° YES • equilateral rectangle • equiangular rhombus • regular quadrilateral NO Serra - Discovering Geometry Chapter 1: Introducing Geometry 13

  14. Example #1 C Sketch and label the figure. Mark the figure. Isosceles acute triangle ACT with AC = CT. A T Serra - Discovering Geometry Chapter 1: Introducing Geometry

  15. Example #2 M E O O O Use the graph. Can you find more than one answer? Locate a point O so that triangle MOE is an isosceles right triangle. Serra - Discovering Geometry Chapter 1: Introducing Geometry

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