SmarterEd

Aussie Maths & Science Teachers: Save your time with SmarterEd

  • Login
  • Get Help
  • About

Transformations, SMB-024

Points `P` and `Q`, shown on the Cartesian plane diagram, are rotated 180° about the origin and become points `P^(′)` and `Q^(′)`.

 

Plot the points `P^(′)` and `Q^(′)` on the diagram.  (3 marks)

--- 0 WORK AREA LINES (style=lined) ---

Show Answers Only

`P^(′)(2,1)`

`Q^(′)(-4,2)`

Show Worked Solution

`text{Rotating 180° = Rotating 90° twice (in either direction)}`

`text{1st 90° rotation (clockwise):}`

`P(-2,-1)\ ->\ (-1,2)`

`Q(4,-2)\ ->\ (-2,-4)`
 

`text{2nd 90° rotation (clockwise):}`

`(-1,2)\ ->\ P^(′)(2,1)`

`(-2,-4) \ ->\ Q^(′)(-4,2)`

 

Filed Under: Transformations Tagged With: num-title-ct-pathc, smc-4420-45-Rotations

Copyright © 2014–2025 SmarterEd.com.au · Log in