Question

1. reflection: across the x - axis

Explanation:

Step1: Recall reflection rule

The rule for reflecting a point $(x,y)$ across the $x - axis$ is $(x,-y)$.

Step2: Identify original points

Let's assume the vertices of the original shape have coordinates: $(1, - 3),(4,-4),(4,-1)$.

Step3: Apply reflection rule

For point $(1,-3)$, after reflection, it becomes $(1,3)$. For point $(4,-4)$, it becomes $(4,4)$. For point $(4,-1)$, it becomes $(4,1)$.

Step4: Plot new points

Plot the new - reflected points on the coordinate plane to get the reflected shape.

Answer:

The new shape is obtained by reflecting each vertex of the original shape across the $x - axis$ using the rule $(x,y)\to(x, - y)$. The new vertices are the reflections of the original vertices across the $x - axis$.