Question

if △jlk is rotated 180 degrees about the origin, what will be the coordinates of l?
a (-5,1)
b (4,-2)
c (2,-4)
d (3,-1)

Explanation:

Step1: Find the original coordinates of point \( L \)

From the graph, the coordinates of point \( L \) are \( (-2,4) \).

Step2: Apply the rotation rule for \( 180^{\circ} \) about the origin

The rule for a \( 180^{\circ} \) rotation about the origin is \( (x,y)\to(-x,-y) \).
For the point \( (-2,4) \), when we apply the rule:
\( x=-2,y = 4 \), then \( -x=-(-2) = 2 \) and \( -y=-4 \)

Answer:

C. \( (2,-4) \)