Question

Given a point (1, 2) on a geometric figure, what is the new point when the figure is rotated clockwise about the origin 180 degrees?

Answer 1

Given a point (−6, 4) in a line segment, what is the new point when the line segment is rotated counterclockwise about the origin 180 degrees?

Answer 2

Given point A(2, 6) on the triangle, where would the new point on the triangle be after a rotation of 90 degrees clockwise

Answer 3

Given point A(2, 6) on the triangle, where would the new point on the triangle be after a rotation of 90 degrees counterclockwise?

Answer 4

When a point is rotated 180 degrees clockwise about the origin, the x-coordinate and y-coordinate of the point are negated. So, given the point (1, 2), the new point after rotating the figure 180 degrees clockwise would be (-1, -2).

Answer 5

To rotate a point counterclockwise about the origin by 180 degrees, we negate both the x-coordinate and the y-coordinate.

Given the point (-6, 4), negating the x-coordinate gives us (6, 4), and negating the y-coordinate gives us (-6, -4).

Therefore, the new point when the line segment is rotated counterclockwise about the origin 180 degrees is (6, -4).

Answer 6

To rotate a point 90 degrees clockwise about the origin, we can use the following transformation:

x' = y
y' = -x

Given point A(2, 6), applying this transformation gives us:

x' = 6
y' = -2

Therefore, the new point on the triangle after a rotation of 90 degrees clockwise would be (6, -2).

Answer 7

To rotate a point (x, y) 90 degrees counterclockwise about the origin, the new coordinates can be found using the following transformation:

x' = -y
y' = x

Applying this transformation to point A(2, 6), we have:

x' = -6
y' = 2

Therefore, the new point on the triangle after a rotation of 90 degrees counterclockwise would be (-6, 2).