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# Complete the proof of the Pythagorean theorem.

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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.

Mar 4, 2019

### 3+0 Answers

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Blank 2   Δ BCA   is similar to  ΔBDC

Blank 4   Cross-product equality of proportions

Blank 9    Cross-product equality of   proportions

Mar 4, 2019
#2
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Thanks as always CPhill!

xeroxlion  Mar 4, 2019
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Welcome !!!

CPhill  Mar 4, 2019