To graph the point after a 270 degrees clockwise rotation, we will imagine a coordinate grid and plot the original point (-5, 2) on it.
First, let's draw the x and y axes.
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-----+-----
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Next, let's plot the original point (-5, 2).
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-5,2|
To rotate the point 270 degrees clockwise, we can imagine tracing a circle 270 degrees clockwise from the original point.
Since 270 degrees is equivalent to three-quarters of a full circle, we need to rotate the point three-quarters of the way around.
For each quarter turn, the x-coordinate and y-coordinate of the point will swap and the new x-coordinate will become the opposite of the original y-coordinate.
For the first quarter turn, the x-coordinate swaps with the y-coordinate and the new x-coordinate becomes -2.
For the second quarter turn, the x-coordinate swaps again with the y-coordinate and the new x-coordinate becomes 5.
For the third quarter turn, the x-coordinate swaps with the y-coordinate and the new x-coordinate becomes 2.
Therefore, the new point after a 270 degrees clockwise rotation is (2, 5).
Plotting the new point on the coordinate grid, we get:
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--2--+-----
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-5,2|
Graph the point after a 270 clockwise rotation.
(-5,2)
1 answer