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

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

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

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

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

Question

Lehancasemcbu Lehancasemcbu

26-08-2016
Mathematics

Answered

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

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

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

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

DTriangle 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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meerkat18 meerkat18 · Answer 1 · 2016-08-31T10:24:53-04:00

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.