Question

use the image to answer the question
to show how aas follows from the definition of congruence, answer the following question. what rigid transformation maps △abc→△def? (1 point)
reflection
dilation
rotation
translation

Explanation:

Step1: Recall rigid - transformation types

Rigid transformations include reflection, rotation, and translation. Dilation is not a rigid transformation as it changes the size of the figure.

Step2: Analyze each option

• Reflection: Flips a figure over a line. There is no indication of a line of reflection here.
• Dilation: Changes size, so it's not a rigid transformation for congruence.
• Rotation: Turns a figure around a point. By observing the orientation of $\triangle A''B''C''$ and $\triangle DEF$, we can see that a rotation can map one to the other.
• Translation: Slides a figure without rotation or reflection. The orientation of the triangles is not consistent with a simple translation.

Answer:

rotation