Question

1. which type of transformation took place?

reflection
no transformation
translation

Explanation:

Step1: Recall transformation definitions

• Reflection: A transformation that flips a figure over a line (the line of reflection). The line of reflection acts as a mirror.
• Translation: A transformation that slides a figure without rotating or flipping it.
• No Transformation: The figure remains in the exact same position.

Step2: Analyze the given figure

Looking at the two - shaped figures in the coordinate plane, we can observe that one figure is a mirror image of the other. There is a line (in this case, a vertical line near \(x = - 1\)) over which one figure is flipped to get the other. It is not a slide (translation) because the orientation (in terms of left - right direction relative to a central line) is reversed. And it is not no transformation as the position of the figure has changed in a non - sliding, non - rotational (but flipping) way.

Answer:

Reflection