Question

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

Explanation:

• Dilation changes the size of a figure (not a rigid transformation).
• Reflection flips a figure over a line. Here, if we consider line \(BB\) (assuming \(B\) is the common vertex) as the line of reflection, \(\triangle ABC\) can be mapped onto \(\triangle A'BC'\).
• Rotation turns a figure around a point. But in this case, a rotation would not map \(\triangle ABC\) onto \(\triangle A'BC'\) as per the given congruence (HL - Hypotenuse - Leg, which is more related to reflection symmetry in this configuration).
• Translation slides a figure without rotation or reflection. But the orientation of \(\triangle ABC\) and \(\triangle A'BC'\) (with right - angles on opposite sides of \(B\)) is not consistent with a translation.

Answer:

reflection