Question

rotate △jkl 180° counterclockwise around the origin.

Explanation:

Step1: Find the coordinates of original points

Let's assume the coordinates of \(J=(0,2)\), \(K=(4,4)\), \(L=(4,2)\)

Step2: Apply the rotation rule

The rule for a \(180^{\circ}\) counter - clockwise rotation around the origin is \((x,y)\to(-x,-y)\)

For point \(J(0,2)\):
\((0,2)\to(0\times(- 1),2\times(-1))=(0, - 2)\)

For point \(K(4,4)\):
\((4,4)\to(4\times(-1),4\times(-1))=(-4,-4)\)

For point \(L(4,2)\):
\((4,2)\to(4\times(-1),2\times(-1))=(-4,-2)\)

Answer:

The coordinates of the rotated triangle \(\triangle J'K'L'\) are \(J'(0, - 2)\), \(K'(-4,-4)\), \(L'(-4,-2)\)