Question

rotations
drag the image coordinates at the right to match
the correct pre - image coordinate.
rotate 270° cc about origin
a(1,5) b(5,5) c(6,2)
a b c
(2,-6)
(-2,6)
(6,-2)
(-5,5)
(-1,5)
(5,-5)
(5,-1)
(5,1)

Explanation:

Step1: Recall rotation rule

The rule for rotating a point \((x,y)\) \(270^\circ\) counterclockwise about the origin is \((x,y)\to(y,-x)\).

Step2: Find \(A'\)

For \(A(1,5)\), apply the rule: \(x = 1\), \(y = 5\). So \(A'=(5,-1)\) (since \(y = 5\), \(-x=- 1\)).

Step3: Find \(B'\)

For \(B(5,5)\), apply the rule: \(x = 5\), \(y = 5\). So \(B'=(5,-5)\) (since \(y = 5\), \(-x=-5\)).

Step4: Find \(C'\)

For \(C(6,2)\), apply the rule: \(x = 6\), \(y = 2\). So \(C'=(2,-6)\) (since \(y = 2\), \(-x=-6\)).

Answer:

\(A'\): \((5,-1)\)
\(B'\): \((5,-5)\)
\(C'\): \((2,-6)\)