caitlyn61307
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Find the x-coordinate of C" after C(1,-4) is rotated 90 degrees counter-clockwise about the origin and then reflected across the line A'B'.
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abidemiokin

If the coordinate point C(1, -4), if rotated 90 degrees counterclockwise about the origin, it becomes C'(-(-4),1) which is C'(4, 1). If the coordinate is reflected across the y-axis, the resulting x-coordinate will be -4

From the question given, if the point C(x, y) is rotated 90 degrees counterclockwise about the origin, it becomes C'(-y,x).

We can see that;

  • There was a switch in coordinates
  • The y-coordinate was negated

Given the coordinate point C(1, -4), if it is rotated 90 degrees counterclockwise about the origin, it becomes C'(-(-4),1) which is C'(4, 1)

If the coordinate is reflected across the y-axis, the resulting x-coordinate will be -4

Learn more here: https://brainly.com/question/21850160

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