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Mathematics, 10.05.2021 15:30 ansbert289

Draw two isosceles triangles ABC and DEF where AC=BC and DF=EF. Dilate triangle ABC auto new triangle A'B'C' using center C and scale factor DF/AC so that A'C =B'C=DF=EF. Translate by directed line segment CF to take A'B'C to a new triangle A"B"F. Since translation preserves distance A"F= A'C=DF and B"F=B'C=EF. Son AE A"F=DF we can rotate using. Enter F to take A" to D. Since B"F= EF we can rotate using center F to take B" to E. We can new established a sequence of dilations, translations, and rotations that takes A to D, B to E, and V to F, so the triangle are similar. Which step is invalid?

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Draw two isosceles triangles ABC and DEF where AC=BC and DF=EF. Dilate triangle ABC auto new triangl...
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