Question

m is the midpoint of \\( \overline { a d } \\).
what single transformation is required to map one of
these congruent triangles onto the other?
reflection
rotation
translation
dilation

Explanation:

Step1: Recall transformation definitions

• Reflection: Flips a figure over a line.
• Rotation: Turns a figure around a point.
• Translation: Slides a figure without rotation or reflection.
• Dilation: Resizes a figure (not for congruent triangles here as dilation changes size).

Step2: Analyze the triangles

Since \(M\) is the mid - point of \(AD\), if we rotate \(\triangle ABM\) \(180^{\circ}\) around point \(M\), it will map onto \(\triangle DCM\).

Answer:

Rotation