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

Select each correct answer.

Trapezoid MNOP is translated 7 units right and then dilated by a scale factor of 5 to form trapezoid M"N"O"P" .

Trapezoid MNOP is dilated by a scale factor of 12 and then rotated 90° counterclockwise to form trapezoid M"N"O"P".

Trapezoid MNOP is dilated by a scale factor of 18 and then reflected across the x-axis to form trapezoid M"N"O"P" .

Trapezoid MNOP is rotated 180° clockwise and then reflected across the y-axis to form trapezoid M"N"O"P" .

Question

Mathematics

Jasmin Lindsey

26 May, 10:46

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

Select each correct answer.

Trapezoid MNOP is translated 7 units right and then dilated by a scale factor of 5 to form trapezoid M"N"O"P" .

Trapezoid MNOP is dilated by a scale factor of 12 and then rotated 90° counterclockwise to form trapezoid M"N"O"P".

Trapezoid MNOP is dilated by a scale factor of 18 and then reflected across the x-axis to form trapezoid M"N"O"P" .

Trapezoid MNOP is rotated 180° clockwise and then reflected across the y-axis to form trapezoid M"N"O"P" .

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Answers (2)

Know the Answer?

Vanessa Farrell · Answer 1

Trapezoid MNOP is dilated by a scale factor of 12 and then rotated 90° counterclockwise to form trapezoid M"N"O"P".

Trapezoid MNOP is translated 7 units right and then dilated by a scale factor of 5 to form trapezoid M"N"O"P" .

Trapezoid MNOP is dilated by a scale factor of 18 and then reflected across the x-axis to form trapezoid M"N"O"P" .

Lauryn Landry · Answer 2

the first 3 choices are correct

Explanation:

Dilation by any factor other than 1 changes the size, so will produce a similar, not congruent, figure. Translation, reflection, and rotation have no effect on similarity or congruence, since those transformations all maintain lengths and angles unchanged.