Question

1. rotation 90° clockwise about the origin

Explanation:

Step1: Recall rotation rule

The rule for a 90 - degree clockwise rotation about the origin is $(x,y)\to(y, - x)$.

Step2: Identify original points

Suppose the coordinates of points of $\triangle LIT$ are $L(x_1,y_1)$, $I(x_2,y_2)$, $T(x_3,y_3)$.

Step3: Apply rotation rule

The new coordinates after 90 - degree clockwise rotation will be $L'(y_1,-x_1)$, $I'(y_2,-x_2)$, $T'(y_3,-x_3)$. Then plot the new - formed triangle on the coordinate plane.

Since no specific coordinates are given for points $L$, $I$, and $T$ in the problem, the general method for a 90 - degree clockwise rotation about the origin is provided. If we assume $L(- 4,-2)$, $I(-2,-2)$, $M(-4,-4)$:
For point $L(-4,-2)$: After 90 - degree clockwise rotation, $L'(-2,4)$.
For point $I(-2,-2)$: After 90 - degree clockwise rotation, $I'(-2,2)$.
For point $M(-4,-4)$: After 90 - degree clockwise rotation, $M'(-4,4)$.

Answer:

The new triangle is formed by applying the rule $(x,y)\to(y, - x)$ to each vertex of the original triangle and then plotting the new vertices. If we assume $L(-4,-2)$, $I(-2,-2)$, $M(-4,-4)$, the new vertices are $L'(-2,4)$, $I'(-2,2)$, $M'(-4,4)$.