Question

rotate figure efgh 90° clockwise around the origin.

Explanation:

Step1: Recall rotation rule

When rotating a point \((x,y)\) \(90^{\circ}\) clockwise around the origin, the new coordinates \((x',y')\) are given by \((x',y')=(y, -x)\).

Step2: Find coordinates of \(E,F,G,H\)

From the graph: \(E(-1,0)\), \(F(-1,-4)\), \(G(-3,-4)\), \(H(-3,0)\).

Step3: Apply rotation rule

For \(E(-1,0)\): \(x=-1,y = 0\), new coordinates \(E'(0,1)\).
For \(F(-1,-4)\): \(x=-1,y=-4\), new coordinates \(F'(-4,1)\).
For \(G(-3,-4)\): \(x=-3,y=-4\), new coordinates \(G'(-4,3)\).
For \(H(-3,0)\): \(x=-3,y = 0\), new coordinates \(H'(0,3)\).

Step4: Plot new points

Plot \(E'(0,1)\), \(F'(-4,1)\), \(G'(-4,3)\), \(H'(0,3)\) and connect them to form the rotated figure.

Answer:

The new coordinates of the rotated figure are \(E'(0,1)\), \(F'(-4,1)\), \(G'(-4,3)\), \(H'(0,3)\)