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The point A(-6, 8) has been transformed using the compositionr(90, O) counter clockwise • Rx-axis . Where is A'?O (8,6)O (8,-6)O (-8,6)O (6,8)

User DawidJ
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1 Answer

7 votes

The first step is to rotate point A(- 6, 8) 90 degrees counterclockwise. If a point, (x, y) is rotated 90 degrees counterclockwise, the new coordinate woule be (- y, x)

For point A, x = - 6, y = 8

Rotating point A 90 degrees counterclockwise, the new coordinate is

(- 8, - 6)

The next step is to reflect this point across the x axis. If a point is reflected across the x axis, the sign of the x coordinate remains the same while the sign of the y coordinate reverses. Thus, (x, y) becomes (x, - y)

Thus, the new coordinate of (- 8, - 6) after a reflection over the x axis is

A' = (- 8, - - 6)

A' = (- 8, 6)

The correct option is the third one

User Alasia
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