Question

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

Explanation:

Step1: Recall rigid - transformation types

Rigid transformations are translation, reflection, and rotation. Dilation is not a rigid - transformation as it changes the size of the figure.

Step2: Analyze the orientation of the triangles

The two congruent triangles $\triangle DEF$ and $\triangle GHJ$ have the same orientation. A reflection would change the orientation of the triangle. A rotation would also change the orientation in most cases. Since the orientation is the same, and we just need to move $\triangle DEF$ to the position of $\triangle GHJ$, a translation is the required rigid transformation.

Answer:

translation