Final answer:
To rotate △JKW about the origin by 180°, we use the rotation formulas to find the new coordinates.
Step-by-step explanation:
To rotate △JKW about the origin by 180°, we need to find the new coordinates for each vertex after the rotation. Let's apply the rotation formula:
New x-coordinate = cos(θ) * old x-coordinate - sin(θ) * old y-coordinate
New y-coordinate = sin(θ) * old x-coordinate + cos(θ) * old y-coordinate
Using θ = 180° and the given coordinates for J(−7,15), K(21,−62), and W(−14,−32), we find that the new coordinates after the rotation are J (7, −15), K (−21, −62), and W (14, −32).