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

Sonia Bartlett

Mathematics

23 January, 17:12

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" .

+3

Answers (2)

Know the Answer?

Nyasia Graham · 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" .

Michelle Moore · 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.