Question

graph the image of \\( \triangle jkl \\) after a rotation \\( 180 ^ { \circ } \\) counterclockwise around the origin.

Explanation:

Step1: Find coordinates of original points

Assume \( J(-5,-4)\), \( K(-2,-4)\), \( L(-5,-10)\)

Step2: Apply rotation formula

The formula for a \(180^{\circ}\) counter - clockwise rotation around the origin is \((x,y)\to(-x,-y)\)
For \(J(-5,-4)\): \((-(-5),-(-4))=(5,4)\)
For \(K(-2,-4)\): \((-(-2),-(-4))=(2,4)\)
For \(L(-5,-10)\): \((-(-5),-(-10))=(5,10)\)

Step3: Plot new points

Plot \(J'(5,4)\), \(K'(2,4)\), \(L'(5,10)\) and connect them to form \(\triangle J'K'L'\)

Answer:

Plot the points \( (5,4)\), \( (2,4)\), \( (5,10)\) and connect them.