Question

Look at the right triangle ABC.

A student made the following chart to prove that AB2 + BC2 = AC2.


What is the flaw in the student’s proof?

Justification 3 should be “Angle ABC = Angle BAD and Angle BAC = Angle ABD”.

Justification 4 should be “AB ÷ AD = AB ÷ AC because triangle ABC is similar to triangle ABD”.

Justification 2 should be “BC ÷ DC = AC ÷ BC because triangle ABC is similar to triangle BDC”.

Justification 1 should be “Angle ABC = Angle BCD and Angle BCA = Angle DBC”.

Answer 1

i dont get it

Answer 2

is this the problem?

Answer 3

yes

Answer 4

The second one is wrong...
It should be
BC AC
--- = ---
DC BC

Answer 5

(corr. sides, ~△s)

Answer 6

thank yoou!

Answer 7

welcome

Answer 8

CORRECTION!!! the answer is C
Justification 2 should be "BC ÷ DC = AC ÷ BC because triangle ABC is similar to triangle BDC."

Answer 9

@taylittle321, can you explain your answer?