Complete the proof of the Pythagorean theorem.
Given: ∆ABC
a right angle at ∠C{
Prove: a2+b2=c
https://lh6.googleusercontent.com/36jbfjLpD-YxVop6c_bV0Hg0SjHMxLOy3vMtK495ec4VDAz96_yd-864FY8Yc3iz2Ad6Vdvkh8Swh4TVkrC5PtXgoEPEz0RpZIOkijs5HbRMoCG2PnNDBuQSs1ws4aqDG97uoqb_
https://lh3.googleusercontent.com/iV4DA-GtDwaYj6LOCfsYavl6OMkl7Gn7sGLqysC13PVNm6Nd3HjaMjjMbBGPm59BGyeM6lP-0baebK1LuDx8AKFupEi0Wn7weyvPdH1YwmsKUeXeEF0fV5Fm0eQ3LJXEfPVOWaPS
I have some of it done.
Answer for blank # 1:
Reflexive Property
Answer for blank # 3:
Corresponding parts of similar triangles are proportional
Answer for blank # 5:
All Right Angles Are Congruent
Answer for blank # 6:
Reflexive Property
Answer for blank # 7:
CBA ~ DCA
Answer for blank # 8:
Corresponding parts of similar triangles are proportional
Answer for blank # 10:
Addition Property of Equality
Answer for blank # 11:
a^2 + b^2 = c (x + y)
Answer for blank # 12:
Segment Addition Postulate
I need the answers for blank 2, 4, and 9.