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LESSON 3.2B – CLASSIFYING TRIANGLES

LESSON 3.2B – CLASSIFYING TRIANGLES . Geometry Notes T.2.G.2 Investigate the measures of segments to determine the existence of triangles ( triangle inequality theorem )

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LESSON 3.2B – CLASSIFYING TRIANGLES

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  1. LESSON 3.2B – CLASSIFYING TRIANGLES Geometry Notes T.2.G.2 Investigate the measures of segments to determine the existence of triangles (triangle inequality theorem) CGT.5.G.3 Determine, given a set of points, the type of figure based on its properties (parallelogram, isosceles triangle, trapezoid)

  2. Definitions Polygon: A closed figure with three or more sides Triangle: A three-sided polygon whose angles add to 180 degrees Vertices: The points where two sides of a polygon intersect

  3. A B C Name the following based on this triangle: Triangle: Sides: Vertices: Angles: What is the side opposite angle A? What is the angle opposite side AC?

  4. Classifying Triangles by Angles

  5. Classifying Triangles by Sides

  6. X Z Y Right Triangle Hypotenuse – Leg – Side opposite Y: Angle opposite : Angle opposite the hypotenuse: Side opposite the right angle: Name the legs:

  7. A C B Isosceles Triangle Legs – Base Angles – Vertex Angle -

  8. Examples • Classify the following triangles by their sides: • A triangle with sides 5x, 5x, and 5x • A triangle with sides 3, 6, and 7 • A triangle with sides 6, 8, and 8

  9. Examples • Classify the following triangles by their angles: • A triangle with angles 25°, 37°, and 118° • A triangle with angles 60°, 60°, and 60° • A triangle with angles 30°, 60°, and 90°

  10. Examples • Sketch the following triangles.If not possible, write not possible: • An obtuse, scalene triangle • A right, equilateral triangle • An acute, isosceles triangle • An equiangular, isosceles triangle

  11. Example Using the distance formula and the coordinates of triangle ABC, classify the triangle. 1. A(-4, 2) B(2,2) C(2, -3)

  12. NOW YOU TRY… Using the distance formula and the coordinates of triangle ABC, classify the triangle. 2. A( -1, 0) B(0, 3) C(2, -3)

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