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Question 6

1 point

DeltaLMN, below, is rotated anti-clockwise about 
L through 
90^(@). Which of the following is its likely image? 
qquad
A
A

qquad
C


sqrt(]^(')4^(M))
D

Question 66\newline* 11 point\newlineΔLMN \Delta \mathrm{LMN} , below, is rotated anti-clockwise about L \mathrm{L} through 90 90^{\circ} . Which of the following is its likely image? \qquad \newlineA\newlineA\newline \qquad \newlineC\newline]4M \sqrt{]^{\prime} 4^{M}} \newlineD

Full solution

Q. Question 66\newline* 11 point\newlineΔLMN \Delta \mathrm{LMN} , below, is rotated anti-clockwise about L \mathrm{L} through 90 90^{\circ} . Which of the following is its likely image? \qquad \newlineA\newlineA\newline \qquad \newlineC\newline]4M \sqrt{]^{\prime} 4^{M}} \newlineD
  1. Rotate 9090 degrees counterclockwise: When rotating a figure 9090 degrees counterclockwise about a point, the coordinates of each point change. The xx-coordinate becomes the negative yy-coordinate, and the yy-coordinate becomes the xx-coordinate.
  2. Calculate new coordinates: Let's assume the coordinates of MM and NN before rotation are (xM,yM)(x_M, y_M) and (xN,yN)(x_N, y_N) respectively. After rotation, MM' will have coordinates (yM,xM)(-y_M, x_M) and NN' will have coordinates (yN,xN)(-y_N, x_N).
  3. 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=xy=x if we first reflect over the line y=xy=-x and then translate it.
  4. Image after rotation: The image of triangle LMNLMN after the rotation will be a triangle with the same shape and size but in a different orientation. Point LL will remain fixed, and the other points will be at 9090 degrees from their original positions.
  5. Unable to determine correct option: Without the exact positions or a diagram, we can't determine which of the given options (AA, CC, extsqrt([]4M) ext{sqrt}([]^{'}4^{M}), DD) is correct. The question seems to be missing important information or is incorrectly formatted.