Question

which graph demonstrates a transformation that preserves both distance and angle measure? (1 point)

Explanation:

Step1: Recall transformation properties

Rigid - transformations (translations, rotations, reflections) preserve distance and angle measure.

Step2: Analyze the graph

In the given graph, we need to check if the pre - image (triangle ABC) and the image (triangle A'B'C') have the same side - lengths and angle measures. By observing the angles and using the grid to estimate side - lengths, we can see that the transformation from triangle ABC to triangle A'B'C' is a rotation. Rotations are rigid transformations that preserve both distance and angle measure.

Answer:

The given graph demonstrates a transformation that preserves both distance and angle measure.