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Brownyies

Can someone help me write a paragraph proof for this? Given: BC = EC and AC = DC Prove: BA = ED The picture of this is attached

  • one year ago
  • one year ago

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  1. Brownyies
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    • one year ago
  2. livelaughlilz
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    Do you know the SAS (side angle side) postulate for congruent triangles?

    • one year ago
  3. Brownyies
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    Yes

    • one year ago
  4. livelaughlilz
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    Do you know about vertical angles?

    • one year ago
  5. Brownyies
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    Yes.

    • one year ago
  6. livelaughlilz
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    Try using those.

    • one year ago
  7. Brownyies
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    What do you mean? I don't understand how to prove it and only know what SAS stands for.

    • one year ago
  8. livelaughlilz
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    SAS means side angle side. If two sides and the angle in between them of a triangle are congruent, the triangles are congruent. if the triangles are congruent, then corresponding parts (sides and angles) of congruent triangles are congruent.

    • one year ago
  9. livelaughlilz
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    Angle ACB and Angle ECD are vertical angles. They are equal. AC = CD, which is given. BC = EC is also given. That gives you two sides that are equal and the angle in between them that is equal. Therefore, by the SAS postulate, the triangles ACB and ECD are congruent. Becuase they are congruent, corresponding sides are congruent. AB and ED are corresponding sides, therefore they are congruent (equal)

    • one year ago
  10. Brownyies
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    Ok so I get what I have to do so thatnk you sooo much and thank you for telling me what SAS means.

    • one year ago
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