Question

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

Explanation:

• Reflection: Reflecting \(\triangle ABC\) over an appropriate line (e.g., a line that can align one pair of corresponding sides).
• Translation: After reflection, translating (shifting) the reflected triangle to map it exactly onto \(\triangle DEC\).
• Rotation: Rotation alone (without reflection) may not be sufficient to align the triangles as per their given orientation.
• Dilation: Dilation is not a rigid transformation (it changes the size of the figure, and since the triangles are congruent, size - preserving transformations are needed).

Answer:

reflection, then translation