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1) rotation 90° clockwise about the origin

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 vertices

Let's assume the coordinates of the vertices of $\triangle{JKI}$ are $J(x_1,y_1)$, $K(x_2,y_2)$ and $I(x_3,y_3)$.

Step3: Apply rotation rule

The new coordinates of $J$ after 90 - degree clockwise rotation will be $J'(y_1,-x_1)$, of $K$ will be $K'(y_2,-x_2)$ and of $I$ will be $I'(y_3,-x_3)$. Then plot these new - vertices on the coordinate plane to get the rotated triangle.

Since no specific coordinates are given for the vertices of $\triangle{JKI}$, the general method for a 90 - degree clockwise rotation about the origin is to use the transformation $(x,y)\to(y, - x)$ for each vertex of the triangle.

Answer:

Use the rule $(x,y)\to(y, - x)$ for each vertex of $\triangle{JKI}$ to find the new vertices of the rotated triangle and then plot them.