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  1. DorelTibi
    • 2 years ago
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    true or false? Help me Plz!!!

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

  3. DorelTibi
    • 2 years ago
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    so Its true

  4. mathmate
    • 2 years ago
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    Explain why it is true.

  5. mathstudent55
    • 2 years ago
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    The triangles are congruent but not by ASA.

  6. DorelTibi
    • 2 years ago
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    Because it is a theorem

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

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

  9. DorelTibi
    • 2 years ago
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    SAS

  10. mathmate
    • 2 years ago
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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.

  11. mathstudent55
    • 2 years ago
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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.

  12. DorelTibi
    • 2 years ago
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    WAIT so its true

  13. mathmate
    • 2 years ago
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    It still takes an extra step.

  14. mathstudent55
    • 2 years ago
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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.

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

  16. DorelTibi
    • 2 years ago
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    o its false because not much information, right?

  17. mathmate
    • 2 years ago
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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?

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

  19. mathstudent55
    • 2 years ago
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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.

  20. mathmate
    • 2 years ago
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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.

  21. mathmate
    • 2 years ago
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    Indeed, AAS is easier.

  22. mathstudent55
    • 2 years ago
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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.

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