write the coordinates of the vertices after a rotation $180^{\\circ}$ counterclockwise around the…

write the coordinates of the vertices after a rotation $180^{\\circ}$ counterclockwise around the origin.\n$j(\\square, \\square)$\n$k(\\square, \\square)$\n$l(\\square, \\square)$

write the coordinates of the vertices after a rotation $180^{\\circ}$ counterclockwise around the origin.\n$j(\\square, \\square)$\n$k(\\square, \\square)$\n$l(\\square, \\square)$

Answer

Explanation:

Step1: Identify original coordinates

Original vertices: $J(-5, -8)$, $K(-5, -1)$, $L(0, -10)$

Step2: Apply 180° rotation rule

For any point $(x,y)$, 180° rotation around origin gives $(-x,-y)$.

  • $J' = -(-5), -(-8) = (5, 8)$
  • $K' = -(-5), -(-1) = (5, 1)$
  • $L' = -(0), -(-10) = (0, 10)$

Answer:

$J'(5, 8)$ $K'(5, 1)$ $L'(0, 10)$