Question

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

Explanation:

• Dilation: Dilation changes the size of a figure. Since the triangles are congruent (same size and shape), dilation is not the transformation.
• Rotation: Rotation turns a figure around a point. Here, there is no indication of a rotational movement around a point to map one triangle to the other.
• Reflection: Reflection flips a figure over a line. If we consider the line perpendicular to \(AD\) at point \(M\) (since \(M\) is the mid - point of \(AD\)), triangle \(ABM\) can be reflected over this line to map onto triangle \(DCM\).
• Translation: Translation slides a figure. The orientation of the triangles (if we assume a non - parallel side - by - side position in a non - translational sense) does not suggest a simple slide (translation) to map one onto the other.

Answer:

Reflection