Question

Triangle FOX is transformed using a rotation:
Which could be coordinates of F'O'X' after the rotation?

F=(1,1), O=(3,2), X=(0,3)

F = (1, 1), O = (-3, -2), X = (0, -3)

F=(1, -1), O=(3,-2), X=(0,-3)

F=(-1,1), O=(-3, 2), X=(0,3)

Answer 1

anyone can you please help

Answer 2

@geerky42

Answer 3

@zzr0ck3r

Answer 4

@Kainui

Answer 5

@iPwnBunnies

Answer 6

@nincompoop

Answer 7

It doesn't say what kind of rotation, or which way, or whatever. So I'm not sure. .-.

Answer 8

If (x,y) is rotated 90 degrees anticlockwise it becomes (-y, x).
If (x,y) is rotated 90 degrees clockwise it becomes (y, -x).

Try anticlockwise: 90, 180, 270 degrees and see if any of the choices fit. If not,
Try clockwise: 90, 180, 270 degrees and see if any of the choices fit.

Answer 9

From the graph first find the coordinates of the three points.
F is (-1, 1)
O is (-2, 3)
X is (-3, 0)

Try anticlockwise rotation by 90 degrees. To do that switch x and y and change the sign of the x-coordinate. F(-1,1) becomes (1,1). The first two choices have (1,1). Let us try O(-2, 3). It becomes (-3,-2) which does not agree with either of the first two choices. So it is not anticlockwise rotation by 90 degrees.

Try anticlockwise rotation by 180 degrees. To do that change the signs of both the the x and y coordinates. F(-1,1) becomes (1,-1). The third choice matches. Let us try O(-2, 3). It becomes (2,-3) which does not match the third choice. So it is not anticlockwise rotation by 180 degrees.

Ignore the 270 degrees I mentioned above. It is sufficient to try 90, 180 anticlockwise and clockwise.

Try clockwise rotation by 90 degrees next.

Answer 10

Try clockwise rotation by 90 degrees. To do that switch x and y and change the sign of the x-coordinate. F(-1,1) becomes (1,1). The first choice has (1,1). Let us try O(-2,3). It becomes (3,2) which also matches the first choice. Let us try X(-3,0) which becomes (0,3). That also matches the first choice.

Therefore, the answer is the first choice which comes about by doing a 90 degree clockwise rotation.