Question

1. triangle jkl is shown on the coordinate plane below. triangle jkl is rotated 90° clockwise around the origin resulting in triangle jkl what are the coordinates of l? a. (1,4) b. (-1,-4) c. (4,1) d. (-4,-1)

Explanation:

Step1: Determine the original coordinates of \( L \)

From the graph, the coordinates of \( L \) are \( (-1,4) \).

Step2: Apply the rotation rule for \( 90^{\circ} \) clockwise rotation

The rule for a \( 90^{\circ} \) clockwise rotation around the origin is \( (x,y)\to(y,-x) \).
Substitute \( x=-1 \) and \( y = 4 \) into the rule:
\( (-1,4)\to(4,1) \)

Answer:

C. \( (4,1) \)