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Qwerty90

  • 2 years ago

A student made the following chart to prove that AB2 + BC2 = AC2. Statement Justification 1. Triangle ABC is similar to triangle BDC 1. Angle ABC = Angle BDC and Angle BCA = Angle BCD 2. BC2 = AC × DC 2. BC ÷ DC = AC ÷ BC because triangle ABC is similar to triangle BDC 3. Triangle ABC is similar to triangle ABD 3. Angle ABC = Angle BAD and Angle BAC = Angle ABD 4. AB2 = AC × AD 4. AB ÷ AD = AC ÷ AB because triangle ABC is similar to triangle ABD 5. AB2 + BC2 = AC × AD + AC × DC = AC (AD + DC) 5. Adding Statement 1 and Statement 2 6. AB2 + BC2 = AC2

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  1. Qwerty90
    • 2 years ago
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  2. Qwerty90
    • 2 years ago
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    Which of the first four steps is the error

  3. Qwerty90
    • 2 years ago
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    I've already elimianted the first choice

  4. Qwerty90
    • 2 years ago
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    I think it is the 3rd one. what do you all think?

  5. shivam_bhalla
    • 2 years ago
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    @Qwerty90 , what makes you think that the 3rd option is wrong ??

  6. shivam_bhalla
    • 2 years ago
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    I'll tell you are right/wrong after you tell me your reason

  7. Qwerty90
    • 2 years ago
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    The angles don't correspond because they don't have the same angle?

  8. shivam_bhalla
    • 2 years ago
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    Good job @Qwerty90

  9. Qwerty90
    • 2 years ago
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    Thanks!

  10. shivam_bhalla
    • 2 years ago
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    yw :)

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