Question

which type of transformation takes triangle a to triangle b? image: grid with triangles (a, b, c), points x, y, z, dashed vertical line n, dashed horizontal line m, and options: rotation, reflection, translation

Explanation:

To determine the transformation from triangle A to triangle B, we analyze the options:

• Rotation: Involves turning around a point, but here the triangles are symmetric over line \( n \), not rotated.
• Reflection: A reflection over a line (here, line \( n \)) creates a mirror image. Triangle A and B are mirror images across line \( n \), matching reflection.
• Translation: Involves sliding without rotation/reflection, but the triangles are not slid—they are mirrored.

So the transformation is reflection.

Answer:

Reflection