Bot, given a point ( x, y ), what is the new point when the point is rotated counterclockwise about the origin 270 degrees?
When a point (x, y) is rotated counterclockwise about the origin by 270 degrees, the new point (x', y') can be obtained by using the following formulas:
x' = y
y' = -x
Therefore, the new point after rotating the original point (x, y) counterclockwise by 270 degrees is (y, -x).
Bot, given a point on a geometric figure (1, 2) , what is the new point when the point is rotated clockwise about the origin 90 degrees?
When a point (x, y) is rotated clockwise about the origin by 90 degrees, the new point (x', y') can be obtained by using the following formulas:
x' = y
y' = -x
Therefore, the new point after rotating the original point (1, 2) clockwise by 90 degrees is (2, -1).
Bot, given a point on a line segment (−4, 5) , what is the new point when the point is rotated counterclockwise about the origin 270 degrees?
To rotate a point (x, y) counterclockwise about the origin by 270 degrees, we can use the following formulas:
x' = -y
y' = x
Therefore, the new point after rotating the original point (-4, 5) counterclockwise by 270 degrees is (5, 4).
Bot, given a point on a geometric figure (x, y) , what is the new point when the figure is rotated clockwise about the origin 270 degrees?
When a point (x, y) is rotated clockwise about the origin by 270 degrees, the new point (x', y') can be obtained by using the following formulas:
x' = -y
y' = x
Therefore, the new point after rotating the original point (x, y) clockwise by 270 degrees is (-y, x).
Bot, given a point (1, 2) on a geometric figure, what is the new point when the figure is rotated counterclockwise about the origin 90 degrees?
To rotate a point (x, y) counterclockwise about the origin by 90 degrees, the new point (x', y') can be obtained by using the following formulas:
x' = -y
y' = x
Therefore, the new point after rotating the original point (1, 2) counterclockwise by 90 degrees is (-2, 1).
What is the new point when you rotate a geometric figure with point (5, 8) 270 degrees counterclockwise about the origin?
A. (8, 5)
B. (8, −5)
C. (−5, 8)
D. (−8, −5)