Question

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.

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.