Question

1. p (2, 3), q (0, 2), r (-1, -2)

rotation 90 degrees clockwise around the origin.
p , q , r __
reflect over the y - axis.
p , q , r __

Explanation:

Step1: Apply 90 - degree clockwise rotation formula

The formula for a 90 - degree clockwise rotation \((x,y)\to(y, - x)\).
For \(P(2,3)\), \(P'=(3,-2)\); for \(Q(0,2)\), \(Q'=(2,0)\); for \(R(-1,-2)\), \(R'=(-2,1)\).

Step2: Apply reflection over the y - axis formula

The formula for reflection over the y - axis \((x,y)\to(-x,y)\).
For \(P'(3,-2)\), \(P''=(-3,-2)\); for \(Q'(2,0)\), \(Q''=(-2,0)\); for \(R'(-2,1)\), \(R''=(2,1)\).

Answer:

\(P'=(3,-2)\), \(Q'=(2,0)\), \(R'=(-2,1)\), \(P''=(-3,-2)\), \(Q''=(-2,0)\), \(R''=(2,1)\)