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  1. DorelTibi
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    true or false? Help me Plz!!!

    • one year ago
  2. mathmate
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    If two triangles have two angles and the included side congruent, the triangles are congruent. ASA (angle-side-angle).

    • one year ago
  3. DorelTibi
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    so Its true

    • one year ago
  4. mathmate
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    Explain why it is true.

    • one year ago
  5. mathstudent55
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    The triangles are congruent but not by ASA.

    • one year ago
  6. DorelTibi
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    Because it is a theorem

    • one year ago
  7. mathstudent55
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    Which ways of proving two triangles congruent do you know?

    • one year ago
  8. mathmate
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    @methstudent55: if two triangles have two angle congruent, the third is also congruent.

    • one year ago
  9. DorelTibi
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    SAS

    • one year ago
  10. mathmate
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    @mathstudent55: if two triangles have two angle congruent, the third is also congruent. It is not SAS because we only have one common side, and we do not know congruence of the other sides.

    • one year ago
  11. mathstudent55
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    @mathmate You're correct. You can do it by ASA by first stating that the third angles are congruent, but there is a quicker way of doing it that does not require that extra step.

    • one year ago
  12. DorelTibi
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    WAIT so its true

    • one year ago
  13. mathmate
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    It still takes an extra step.

    • one year ago
  14. mathstudent55
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    There is a way that just by looking you can immediately conclude the triangles are congruent with out any extra steps.

    • one year ago
  15. mathmate
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    To prove by SAS, you need to show that one other pair of sides are congruent.

    • one year ago
  16. DorelTibi
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    o its false because not much information, right?

    • one year ago
  17. mathmate
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    @ DorelTibi: sorry that we are discussing the semantics of things, but are you able to show that the triangles are congruent?

    • one year ago
  18. mathstudent55
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    It's not SAS. We don't have info on two sides. We only know about the side in common.

    • one year ago
  19. mathstudent55
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    Here it is: AAS. If two angles of a triangle and a not included side are congruent to corresponding parts of another triangle, the triangles are congruent.

    • one year ago
  20. mathmate
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    In fact, AAS is the equivalent of ASA, since when two angles are congruent, then congruence of any other corresponding side is sufficient to show congruence. Equivalence means that all AAS cases can be shown to be ASA and vice-versa.

    • one year ago
  21. mathmate
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    Indeed, AAS is easier.

    • one year ago
  22. mathstudent55
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    In the end, if you do it by ASA, you need to show BD is congr to itself and <s CDB and ADB are congruent. If you do it by AAS, you only need to show BD is congr to itself. So either way you need one extra step or two extra steps before the conlcusion.

    • one year ago
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