Question

Answer the questions by drawing on the coordinate plane below.

(a) Draw the image of APQR after a counterclockwise rotation of 90° about the origin
Label the image APQ'R'.

Answer 1

See explanation

Explanation:

A triangle PQR has its vertices at points P(1,-1), Q(3,-2) and R(3,-4).

A counterclockwise rotation by angle of 90° about the origin has the rule

`(x,y)\rightarrow (-y,x)`

Hence,

• 
  `P(1,-1)\rightarrow P'(1,1);`
• 
  `Q(3,-2)\rightarrow Q'(2,3);`
• 
  `R(3,-4)\rightarrow R'(4,3).`

The image triangle is shown in attached diagram.