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1. this is an invalid proof that all isosceles triangles are similar. explain which step is invalid and why. 1. draw 2 isosceles triangles and where and . 2. dilate triangle to a new triangle using center and scale factor so that . 3. translate by directed line segment to take to a new triangle . since translation preserves distance, and . 4. since , we can rotate using center to take to . 5. since , we can rotate using center to take to . 6. we have now established a sequence of dilations, translations, and rotations that takes to , to , and to , so the triangles are similar.

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