Question

180° rotation
rule (x, y): (
p(
q(
r(
s(

Explanation:

Step1: Recall 180° rotation rule

The rule for a 180° rotation about the origin is \((x, y) \to (-x, -y)\).

Step2: Find coordinates of original points

• Point \(P\): From the graph, \(P(-2, 4)\)
• Point \(Q\): \(Q(3, 4)\)
• Point \(R\): \(R(1, 2)\)
• Point \(S\): \(S(-4, 2)\)

Step3: Apply the rule to each point

• For \(P(-2, 4)\): \(P'(-(-2), -4)=(2, -4)\)
• For \(Q(3, 4)\): \(Q'(-3, -4)\)
• For \(R(1, 2)\): \(R'(-1, -2)\)
• For \(S(-4, 2)\): \(S'(4, -2)\)

Answer:

Rule \((x, y)\): \((-x, -y)\)
\(P'(2, -4)\)
\(Q'(-3, -4)\)
\(R'(-1, -2)\)
\(S'(4, -2)\)