Question

1. translate the figure 3 left and 4 down and then rotate it by 270°

hint: rule for 270° counterclockwise = (y, - x)

Explanation:

Step1: Find the coordinates of points A, B, C

Point \(A(6,10)\), \(B(0,6)\), \(C(8,4)\)

Step2: Translate the points 3 left and 4 down

The translation rule is \((x,y)\to(x - 3,y - 4)\)
For \(A\): \((6-3,10 - 4)=(3,6)\)
For \(B\): \((0-3,6 - 4)=(-3,2)\)
For \(C\): \((8-3,4 - 4)=(5,0)\)

Step3: Rotate the translated points \(270^{\circ}\) counter - clockwise

The rotation rule is \((x,y)\to(y,-x)\)
For the translated \(A(3,6)\): \((6,-3)\)
For the translated \(B(-3,2)\): \((2,3)\)
For the translated \(C(5,0)\): \((0,-5)\)

Answer:

The new coordinates of \(A\) is \((6,-3)\), of \(B\) is \((2,3)\) and of \(C\) is \((0,-5)\)