demonstrating the properties or rotation, if a line segment with endpoints (0,-3) and (0,-7) is rotated 90 degrees clockwise, whats the endpoint of the rotated segment?
To rotate the line segment 90 degrees clockwise, we can use the following rotation matrix:
[ 0 -1 ]
[ 1 0 ]
Let's apply the matrix to the given endpoints (0, -3) and (0, -7):
For the point (0, -3):
[ 0 -1 ] [ 0 ] [ -1 ]
[ 1 0 ] * [ -3 ] = [ 0 ]
Thus, the endpoint of the rotated segment for (0, -3) is (-1, 0).
For the point (0, -7):
[ 0 -1 ] [ 0 ] [ -1 ]
[ 1 0 ] * [ -7 ] = [ 0 ]
Therefore, the endpoint of the rotated segment for (0, -7) is (-1, 0).
Hence, after rotating the line segment 90 degrees clockwise, the endpoint of the rotated segment will be (-1, 0).