Question

URGENT NEED HELP WITH A MATH QUESTION

Answer 1

Answer:

The image of point P is (1 , -1)

Step-by-step explanation:

- If point (x , y) rotated about the origin by angle 90° anti-clock wise

∴ Its image is (-y , x)

- If point (x , y) rotated about the origin by angle 90° clock wise

∴ Its image is (y , -x)

- If point (x , y) rotated about the origin by angle 180°

∴ Its image is (-x , -y)

* There is no difference between rotating 180° clockwise or  

  anti-clockwise around the origin

* Lets solve the problem

∵ P = (-1 , -1)

∵ P is rotated about the origin 90° counterclockwise

- Lets use this rule:

  If point (x , y) rotated about the origin by angle 90° counterclockwise

  then Its image is (-y , x)

∵ x-coordinate of point P = -1

∴ y-coordinate of the image of point P is -1

∵ y-coordinate of point P is -1

∴ x-coordinate of the image of point P is 1

- Lets write the image of point P

∴ The image of point P is (1 , -1)