To determine the angle of rotation for triangle JKL to triangle J'K'L', we need to look at the coordinates of the original triangle and its rotated image.
Without specific coordinates provided for the points J, K, L and their corresponding points J', K', L', we can identify commonly used angles of rotation:
- 90° clockwise (or −270° counterclockwise)
- 180° (which can be either direction)
- 90° counterclockwise (or −90°)
- 270° clockwise (or −90° counterclockwise)
If you're analyzing typical rotations:
- A 90° rotation clockwise moves point (x, y) to (y, -x).
- A 90° rotation counterclockwise moves point (x, y) to (-y, x).
- A 180° rotation moves point (x, y) to (-x, -y).
Please confirm the transformation based on the coordinates, as the angle of rotation depends on how the triangle's points are transformed. If, for example, the points seem to move to the positions as per one of the rules above, you’ll be able to select the appropriate angle of rotation.
In summary:
- Without specific coordinates or visual representation, it's not possible to give a definitive answer. However, if we assume one of those transformations appears to exist, you can select the corresponding angle from the options given.