Q. Question 6* 1 pointΔLMN, below, is rotated anti-clockwise about L through 90∘. Which of the following is its likely image? AAC]′4MD
Rotate 90 degrees counterclockwise: When rotating a figure 90 degrees counterclockwise about a point, the coordinates of each point change. The x-coordinate becomes the negative y-coordinate, and the y-coordinate becomes the x-coordinate.
Calculate new coordinates: Let's assume the coordinates of M and N before rotation are (xM,yM) and (xN,yN) respectively. After rotation, M′ will have coordinates (−yM,xM) and N′ will have coordinates (−yN,xN).
Mirror reflection and translation: Since we don't have the exact coordinates, we can't calculate the new positions, but we know that the image will be a mirror reflection across the line y=x if we first reflect over the line y=−x and then translate it.
Image after rotation: The image of triangle LMN after the rotation will be a triangle with the same shape and size but in a different orientation. Point L will remain fixed, and the other points will be at 90 degrees from their original positions.
Unable to determine correct option: Without the exact positions or a diagram, we can't determine which of the given options (A, C, extsqrt([]′4M), D) is correct. The question seems to be missing important information or is incorrectly formatted.
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