Mathematics
cibir210
16

Which transformations will produce similar, but not congruent, figures? Choose all answers that are correct. A. Square ABCD is rotated 270° clockwise and then dilated by a scale factor of to form square AꞌꞌBꞌꞌCꞌꞌDꞌꞌ. B. Square ABCD is reflected across the x-axis and then dilated by a scale factor of 2 to form square AꞌꞌBꞌꞌCꞌꞌDꞌꞌ. C. Square ABCD is dilated by a scale factor of and then translated 1 unit right to form square AꞌꞌBꞌꞌCꞌꞌDꞌꞌ. D. Square ABCD is translated 8 units right and 8 units up and then reflected across the y-axis to form square AꞌꞌBꞌꞌCꞌꞌDꞌꞌ

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(1) Answers
rainbowbunny067

A. Square ABCD is rotated 270° clockwise and then dilated by a scale factor of to form square A??B??C??D??. Correct: 270° rotation preserves the lenghts and angles and dilation by a scale factor preserves the angles but not the lenghts. B. Square ABCD is reflected across the x-axis and then dilated by a scale factor of 2 to form square A??B??C??D??. Correct: reflection preserves the lenghts and agles, while dilation by a scale factor preserves the angles but not the lengths C. Square ABCD is dilated by a scale factor of and then translated 1 unit right to form square A??B??C??D??. Correct: dilation by a scale factor preserves the angles but not the length while translations preserve angles and length. D. Square ABCD is translated 8 units right and 8 units up and then reflected across the y-axis to form square A??B??C??D?? Wrong: both translation and reflection keep angles and lengths, meaning that these transformations will produce congruent figures.

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