Question

m is the midpoint of ad
what single transformation is required to map one of these congruent triangles onto the other?
reflection
rotation
translation
dilation

Explanation:

A reflection is a transformation that flips a figure over a line. In this case, since \(M\) is the mid - point of \(AD\), if we consider the line perpendicular to \(AD\) at \(M\) (or the vertical line through \(M\)), one triangle is the mirror image of the other across this line. A rotation would require a center of rotation and an angle of rotation (not indicated here in a simple sense). A translation would slide the figure without flipping, but the orientation (left - right) of the triangles is reversed. A dilation would change the size, but the triangles are congruent (same size). So, reflection is the correct transformation.

Answer:

Reflection