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

Answer:

See explanation

Step-by-step 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.