Question

rotate △jkl 90° counterclockwise around the origin.

Explanation:

Step1: Identify original coordinates

From the graph:
$J(-5, -5)$, $K(-5, -15)$, $L(-10, -5)$

Step2: Apply 90° counterclockwise rotation rule

The rule for rotating a point $(x,y)$ 90° counterclockwise around the origin is $(x,y) \to (-y, x)$.

• For $J(-5,-5)$: $(-(-5), -5) = (5, -5)$
• For $K(-5,-15)$: $(-(-15), -5) = (15, -5)$
• For $L(-10,-5)$: $(-(-5), -10) = (5, -10)$

Answer:

The coordinates of the rotated triangle $\triangle J'K'L'$ are:
$J'(5, -5)$, $K'(15, -5)$, $L'(5, -10)$