Question

1. reflection across y - axis

Explanation:

Step1: Recall reflection rule

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

Step2: Identify vertices

Let's assume the coordinates of the vertices of the triangle are $L(x_1,y_1)$, $U(x_2,y_2)$ and $X(x_3,y_3)$.

Step3: Apply reflection

The new coordinates after reflection across the $y - axis$ will be $L'(-x_1,y_1)$, $U'(-x_2,y_2)$ and $X'(-x_3,y_3)$. Plot these new points to get the reflected figure.

Answer:

The new figure is obtained by applying the rule $(x,y)\to(-x,y)$ to each vertex of the original figure and then connecting the new vertices.