Question

triangle def is congruent to △ghj by the sss theorem. which rigid transformation is required to map △def onto △ghj? reflection translation rotation dilation

Explanation:

• Reflection: A reflection is a rigid transformation that flips a figure over a line. In this case, reflecting \(\triangle DEF\) over an appropriate vertical line would map it onto \(\triangle GHJ\) since the orientation of the triangles (mirror - like) suggests a flip.
• Translation: A translation slides a figure. But the orientation of the triangles (not in the same orientation for a simple slide) makes this less likely.
• Rotation: A rotation turns a figure around a point. The symmetry here (mirror - like) is more characteristic of a reflection than a rotation.
• Dilation: A dilation changes the size of a figure. Since the triangles are congruent (same size and shape), dilation is not a rigid transformation (it changes size) and is incorrect.

Answer:

reflection