write the coordinates of the vertices after a rotation $90^{\\circ}$ counterclockwise around the…

write the coordinates of the vertices after a rotation $90^{\\circ}$ counterclockwise around the origin.\n$j(\\square, \\square)$\n$k(\\square, \\square)$\n$l(\\square, \\square)$\n$m(\\square, \\square)$

write the coordinates of the vertices after a rotation $90^{\\circ}$ counterclockwise around the origin.\n$j(\\square, \\square)$\n$k(\\square, \\square)$\n$l(\\square, \\square)$\n$m(\\square, \\square)$

Answer

Explanation:

Step1: Identify original coordinates

Original vertices: $J(-3, 3)$, $K(0, 3)$, $L(0, 10)$, $M(-3, 10)$

Step2: Apply 90° CCW rotation rule

Rule: $(x,y) \to (-y,x)$

  • For $J(-3,3)$: $(-3,3) \to (-3,-3)$
  • For $K(0,3)$: $(0,3) \to (-3,0)$
  • For $L(0,10)$: $(0,10) \to (-10,0)$
  • For $M(-3,10)$: $(-3,10) \to (-10,-3)$

Answer:

$J'(-3, -3)$ $K'(-3, 0)$ $L'(-10, 0)$ $M'(-10, -3)$