Which transformations will produce similar, but not congruent, figures?

A. Triangle TUV is dilated by a scale factor of 9 and then translated 2 units right and 1 unit down to form triangle TꞌꞌUꞌꞌVꞌꞌ.

B. Triangle TUV is rotated 180° counterclockwise and then reflected across the x-axis to form triangle TꞌꞌUꞌꞌVꞌꞌ.

C. Triangle TUV is rotated 270° clockwise and then translated 12 units down to form triangle TꞌꞌUꞌꞌVꞌꞌ.

D. Triangle TUV is translated 3 units left and 4 units up and then reflected across the y-axis to form triangle TꞌꞌUꞌꞌVꞌꞌ.

Question

Alfonso Livingston

Mathematics

17 December, 03:52

Which transformations will produce similar, but not congruent, figures?

A. Triangle TUV is dilated by a scale factor of 9 and then translated 2 units right and 1 unit down to form triangle TꞌꞌUꞌꞌVꞌꞌ.

B. Triangle TUV is rotated 180° counterclockwise and then reflected across the x-axis to form triangle TꞌꞌUꞌꞌVꞌꞌ.

C. Triangle TUV is rotated 270° clockwise and then translated 12 units down to form triangle TꞌꞌUꞌꞌVꞌꞌ.

D. Triangle TUV is translated 3 units left and 4 units up and then reflected across the y-axis to form triangle TꞌꞌUꞌꞌVꞌꞌ.

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Answers (1)

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Zion Wyatt · Answer 1

The correct answer is A. Triangle TUV is dilated by a scale factor of 9 and then translated 2 units right and 1 unit down to form triangle TꞌꞌUꞌꞌVꞌꞌ.

Congruent figures are of the same shape and the same size. Triangle TUV is dilated by a scale factor of 9 and then translated 2 units right and 1 unit down to form triangle TꞌꞌUꞌꞌVꞌꞌ will produce similar but not congruent figures because they have different sizes.