Question

Please check my answers.

Answer 1

The two-column proof with missing justifications proves the Pythagorean Theorem using similar triangles.




Statement

Justification


Draw an altitude from point C to Line Segment AB




Let Line Segment BC= a

Line Segment CA= b

Line Segment AB= c

Line Segment CD= h

Line Segment DB= x

Line Segment AD= y




y + x = c




c over a is equal to a over y; c over b is equal to b over x




a2 = cy; b2 = cx




a2 + b2 = cy + b2




a2 + b2 = cy + cx




a2 + b2 = c(y + x)




a2 + b2 = c(c)




a2 + b2 = c2





Which is NOT a justification for the proof?
Addition Property of Equality

Pythagorean Theorem

Pieces of Right Triangles Similarity Theorem

Cross Product Property

Answer 2

I put C

Answer 3

@phi

Answer 4

@ganeshie8