Question

6.
rotation 90° counterclockwise
about the origin
a coordinate:
(2,-5)
b coordinate:
c coordinate:
9.

Explanation:

Step1: Find coordinates of \(A\), \(B\), \(C\)

From the graph, \(A(-5,-2)\), \(B(-2,2)\), \(C(0,-1)\)

Step2: Apply rotation rule

The rule for a \(90^{\circ}\) counter - clockwise rotation about the origin \((x,y)\to(-y,x)\)
For point \(A(-5,-2)\):
\(x=-5\), \(y = - 2\)
\(A'=(2,-5)\)
For point \(B(-2,2)\):
\(x=-2\), \(y = 2\)
\(B'=(-2,-2)\)
For point \(C(0,-1)\):
\(x = 0\), \(y=-1\)
\(C'=(1,0)\)

Answer:

\(A'\) coordinate: \((2,-5)\)
\(B'\) coordinate: \((-2,-2)\)
\(C'\) coordinate: \((1,0)\)