Question

90° clockwise rotation
90° counter clockwise rotation
reflection across the x - axis
reflection across the y - axis
identify the transformation from abc to abc.

Explanation:

Step1: Recall reflection properties

Reflection across the y - axis changes the sign of the x - coordinate of a point \((x,y)\) to \((-x,y)\).

Step2: Analyze the triangles

Looking at the original triangle \(ABC\) and the image triangle \(A'B'C'\), if we consider a general point \((x,y)\) on \(ABC\) and its corresponding point \((-x,y)\) on \(A'B'C'\) (by observing the position of the triangles relative to the y - axis). For example, if a vertex of \(ABC\) has coordinates \((a,b)\), the corresponding vertex of \(A'B'C'\) has coordinates \((-a,b)\).

Answer:

Reflection across the y - axis