Question

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

Explanation:

A dilation changes the size of a figure, so it's not a rigid - transformation. A translation moves a figure without flipping or turning it. A rotation turns a figure around a point. A reflection flips a figure over a line. Since \(\triangle ABC\) and \(\triangle A'BC'\) are mirror - images of each other with respect to a line (the line passing through point \(B\) and perpendicular to \(AA'\) and \(CC'\)), the single rigid transformation that maps \(\triangle ABC\) onto \(\triangle A'BC'\) is a reflection.

Answer:

B. reflection