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Answer:

C, D, and E are corrects.

Step-by-step explanation:

Two plane figures are congruent if and only if one can be obtained from the other by a sequence of rigid motions. The rigid transformations are reflection, rotation, and translation. The image from these transformations will not change its size or shape.

A dilation is a nonrigid transformation that can produce enlarged or reduced images from a given pre-image.

Therefore only C, D, and E are corrects.

A. a dilation, then a translation

B. a reflection, then a dilation

C. a reflection, then a rotation

D. a rotation, then a translation

E. a translation, then a reflection

The transformations guarantee triangles MNO and PQR are congruent should be considered is option C, D, and E.

What is congruent?

The two plane figures should be considered as the congruent when one should be obtained from the other via the sequence of the fixed motions. Here the right transformation could be in the form of reflection, rotation, and translation.

Also, the image arise form transformations should remain the same with respect to the size or shape.

Therefore only C, D, and E are corrects.

This is an incomplete question. Please find the options below.

A. a dilation, then a translation

B. a reflection, then a dilation

C. a reflection, then a rotation

D. a rotation, then a translation

E. a translation, then a reflection

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