Question

rotate figure efgh 180° around the origin.

Explanation:

Step1: Find coordinates of original points

Assume each grid is 5 units. Point \(E=(10,20)\), \(F=(20,20)\), \(H=(10,10)\), \(G=(20,10)\)

Step2: Apply 180 - degree rotation formula

The formula for a \(180^{\circ}\) rotation about the origin is \((x,y)\to(-x,-y)\)
For point \(E(10,20)\): \((10,20)\to(- 10,-20)\)
For point \(F(20,20)\): \((20,20)\to(-20,-20)\)
For point \(H(10,10)\): \((10,10)\to(-10,-10)\)
For point \(G(20,10)\): \((20,10)\to(-20,-10)\)

Answer:

The new coordinates of the rotated figure are \(E'(-10,-20)\), \(F'(-20,-20)\), \(H'(-10,-10)\), \(G'(-20,-10)\)