Question

the graph shows triangles rst and rst. which of the following transformations maps rst onto rst?

Explanation:

Step1: Analyze x - coordinate change

The x - coordinates of the vertices of triangle RST: R(-6,1), S(-3,4), T(-4, - 5). The x - coordinates of the vertices of triangle R'S'T': R'(6,1), S'(3,4), T'(4,-5). The change in x - coordinate for each vertex is \(x'= - x\) (e.g., for R, \(-6\) becomes \(6\)).

Step2: Analyze y - coordinate change

The y - coordinates remain the same for corresponding vertices (e.g., for R, \(y = 1\) in both R and R'). This indicates a reflection over the y - axis. A reflection over the y - axis has the transformation rule \((x,y)\to(-x,y)\).

Answer:

A reflection over the y - axis.