Question

triangle j k l is rotated 270° counterclockwise about the origin to form triangle jkl. what is the y-coordinate of point j? image of coordinate grid with triangle jkl type the answer in the box.

Explanation:

Step1: Find coordinates of J

From the graph, point \( J \) has coordinates \( (-3, -2) \).

Step2: Apply 270° counterclockwise rotation rule

The rule for rotating a point \( (x, y) \) 270° counterclockwise about the origin is \( (x, y) \to (y, -x) \).

Step3: Substitute J's coordinates into the rule

For \( J(-3, -2) \), \( x = -3 \), \( y = -2 \). Applying the rule: \( (y, -x) = (-2, -(-3)) = (-2, 3) \).

Step4: Identify the y - coordinate of \( J' \)

The coordinates of \( J' \) are \( (-2, 3) \), so the y - coordinate is 3.

Answer:

3