Question

in the diagram, which triangle is the image of δ2 after a reflection in the x - axis? 1 δ1 2 δ2 3 δ3 4 δ4

Explanation:

Step1: Recall reflection rule

When a point $(x,y)$ is reflected over the $x - axis$, the new point is $(x, - y)$. For a triangle, all its vertices follow this rule. $\Delta2$ is in the second - quadrant. After reflection over the $x - axis$, it will be in the third - quadrant.

Step2: Identify the triangle

Looking at the diagram, $\Delta3$ is in the third - quadrant and has the same shape and orientation relative to the $x - axis$ as $\Delta2$ would have after reflection.

Answer:

1. $\Delta3$