# Use the drop-down menus to complete the proof of the Pythagorean theorem.?

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By the Choose( Side-Angle-Side Similarity Postulate, Angle-Angle Similarity Postulate, Side-Side-Side Similarity Postulate) , △YXZ∼△YZQ and △YXZ∼△ZXQ. Since similar triangles have Choose( Congruent, Proportional) sides, ac=fa and bc=eb . Solving the ...

By the Choose( Side-Angle-Side Similarity Postulate, Angle-Angle Similarity Postulate, Side-Side-Side Similarity Postulate) , △YXZ∼△YZQ and △YXZ∼△ZXQ. Since similar triangles have Choose( Congruent, Proportional) sides, ac=fa and bc=eb . Solving the ...

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Feb 12, 2018

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see below

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angle-angle-angle similarity postulate

all angles being equal is what proves similarity. side-angle-side and side-side-side prove congruence. there is no indication that the two triangles in the picture are congruent; only similar.

proportional

similar triangles have angles that are all equal, and their sides are in the same ratios, but they are not necessarily congruent.

cf

it is stated that

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