Triangles A B C and D E F are shown. Triangle A B C is rotated to the left about point A and then is shifted up and to the right to form triangle D E F. What are the rigid transformations that will map △ABC to △DEF? Translate vertex A to vertex D, and then reflect △ABC across the line containing AC. Translate vertex B to vertex D, and then rotate △ABC around point B to align the sides and angles. Translate vertex B to vertex D, and then reflect △ABC across the line containing AC. Translate vertex A to vertex D, and then rotate △ABC around point A to align the sides and angles.

Translating vertex A to vertex D, and then rotate △ABC around point A to align the sides and angles will bring about a rigid transformation, the correct answer is D.

What are Rigid transformation?

The transformations that preserves the Euclidean distance between points. This could be as a result of the any transformation.

Triangle ABC and DEF is shown,

Triangle A B C is rotated to the left about point A and then is shifted up and to the right to form triangle D E F.

To map ΔABC to ΔDEF , the vertex A will be translated to vertex D, and then the triangle is rotated around point A.

This will maintain the distance between the points when vertex A to D.

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