the triangles are congruent by the sss congruence theorem. which rigid transformation(s) can map △abc onto…

the triangles are congruent by the sss congruence theorem. which rigid transformation(s) can map △abc onto △dec? reflection, then rotation reflection, then translation rotation, then translation rotation, then dilation

the triangles are congruent by the sss congruence theorem. which rigid transformation(s) can map △abc onto △dec? reflection, then rotation reflection, then translation rotation, then translation rotation, then dilation

Answer

Answer:

C. rotation, then translation

Explanation:

Step1: Analyze rigid - transformations

Rigid transformations preserve size and shape. Reflection flips a figure over a line, rotation turns a figure around a point, and translation slides a figure. Dilation changes the size and is not a rigid - transformation.

Step2: Observe the triangles

By observing (\triangle ABC) and (\triangle DEC), we can first rotate (\triangle ABC) around point (C) to align the angles and sides in a better - matching orientation. Then, we can translate the rotated (\triangle ABC) to map it exactly onto (\triangle DEC). A reflection followed by a rotation or a reflection followed by a translation will not map (\triangle ABC) onto (\triangle DEC) as effectively as rotation followed by translation.