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Isosceles Triangle Exploration
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Isosceles Triangle Exploration

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Classroom notes for 8th grade pre-algebra class.

Classroom notes for 8th grade pre-algebra class.

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  • 1. Isosceles Triangle A B C
  • 2. Isosceles Triangle with a Perpendicular Bisector A B C D
  • 3. Isosceles Triangle with a Perpendicular Bisector A B C D
  • 4. Isosceles Triangle with a Perpendicular Bisector Congruent side markings Perpendicular angle markings A B C D
  • 5. Isosceles Triangle with a Perpendicular Bisector Congruent side markings Perpendicular angle markings What else do we know? A B C D
  • 6. Isosceles Triangle with a Perpendicular Bisector
    • What else do we know?
      • perpendicular bisector
    A B C D
  • 7. Isosceles Triangle with a Perpendicular Bisector
    • What else do we know?
      • perpendicular bisector
      • side congruent to itself
    A B C D
  • 8. Isosceles Triangle with a Perpendicular Bisector
    • What else do we know?
      • perpendicular bisector
      • side congruent to itself
      • all sides are congruent so Δ ABD= Δ ACD!
    A B C D
  • 9. Isosceles Triangle with a Perpendicular Bisector If the two triangles are congruent, what else do we know? A B C D
  • 10. Isosceles Triangle with a Perpendicular Bisector If the two triangles are congruent, what else do we know? <A = <C <BAD = <CAD All of its parts, angles and sides are congruent! A B C D
  • 11. Isosceles Triangle with a Perpendicular Bisector A B C D You’ve used geometric reasoning to figure out more information about Δ ABC and its bisector !

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