Question

Which of the following represents a rotation of △JKW, which has vertices J(−7,15), K(21,−62), and W(−14,−32), about the origin by 180°?

A) J (7, −15)
K (−21, 62)
W (14, 32)

B) J (7, 15)
K (−21, −62)
W (14, −32)

C) J (−7, −15)
K (21, 62)
W (−14, 32)

D) J (−15, −7)
K (62, 21)
W (32, −14)

Answer 1

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).