Question

which type of transformation maps △abc to △abc? reflection over the y - axis reflection over the x - axis none of the other answers are correct reflection over the line x = 1 reflection over the line y = 1

Explanation:

Step1: Recall reflection rules

In a reflection over the y - axis, the rule is $(x,y)\to(-x,y)$.

Step2: Analyze the points

For $\triangle ABC$ and $\triangle A'B'C'$, if we take a point $A(x_1,y_1)$ in $\triangle ABC$ and its corresponding point $A'(-x_1,y_1)$ in $\triangle A'B'C'$. We can see that the x - coordinates of the corresponding points of the two triangles are opposite in sign and the y - coordinates remain the same. This is the characteristic of a reflection over the y - axis.

Answer:

reflection over the y - axis