Question

1. one image of △abc is △abc. this transformation is a reflection over which line? a. the x - axis c. the y - axis b. x = 6 d. y = 6

Explanation:

Step1: Observe the x - coordinates

The x - coordinates of corresponding points of $\triangle ABC$ and $\triangle A'B'C'$ are equidistant from the line $x = 6$. For example, if a point in $\triangle ABC$ has an x - coordinate $x_1$ and its corresponding point in $\triangle A'B'C'$ has an x - coordinate $x_2$, then $\frac{x_1 + x_2}{2}=6$.

Step2: Analyze y - coordinates

The y - coordinates of corresponding points remain the same. This is characteristic of a reflection over a vertical line.

Answer:

B. $x = 6$