Question

1. triangle pqr with vertices p(1, 3), q(4, 8), and r(8, 1): 90° clockwise about the origin

p (__, __)
q (__, __)
r (__, __)

Explanation:

Step1: Recall 90° clockwise rotation rule

The rule for a 90° clockwise rotation about the origin is \((x,y)\to(y, -x)\).

Step2: Rotate point P(1, 3)

Using the rule, for \(P(1,3)\), \(x = 1\), \(y = 3\). So \(P'\) is \((3, - 1)\).

Step3: Rotate point Q(4, 8)

For \(Q(4,8)\), \(x = 4\), \(y = 8\). So \(Q'\) is \((8, - 4)\).

Step4: Rotate point R(8, 1)

For \(R(8,1)\), \(x = 8\), \(y = 1\). So \(R'\) is \((1, - 8)\).

Answer:

\(P'(3, -1)\)
\(Q'(8, -4)\)
\(R'(1, -8)\)