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 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
 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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Qwerty90
 2 years ago
Best ResponseYou've already chosen the best response.1Which of the first four steps is the error

Qwerty90
 2 years ago
Best ResponseYou've already chosen the best response.1I've already elimianted the first choice

Qwerty90
 2 years ago
Best ResponseYou've already chosen the best response.1I think it is the 3rd one. what do you all think?

shivam_bhalla
 2 years ago
Best ResponseYou've already chosen the best response.0@Qwerty90 , what makes you think that the 3rd option is wrong ??

shivam_bhalla
 2 years ago
Best ResponseYou've already chosen the best response.0I'll tell you are right/wrong after you tell me your reason

Qwerty90
 2 years ago
Best ResponseYou've already chosen the best response.1The angles don't correspond because they don't have the same angle?

shivam_bhalla
 2 years ago
Best ResponseYou've already chosen the best response.0Good job @Qwerty90
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