Question

triangle abc is congruent to △abc by the hl theorem. what single rigid transformation maps △abc onto △abc? dilation reflection rotation translation

Explanation:

Step1: Recall rigid - transformation definitions

Rigid transformations preserve size and shape. Dilation changes size, so it's not a rigid transformation.

Step2: Analyze the figure

Observing the position of $\triangle ABC$ and $\triangle A'BC'$, we can see that they are mirror - images of each other with respect to a line. A reflection is a transformation that flips a figure over a line.

Step3: Rule out other rigid transformations

Rotation turns a figure around a point, and translation slides a figure without turning or flipping. The given transformation is not a rotation or a translation.

Answer:

B. reflection