Question

write the coordinates of the vertices after a rotation 180° clockwise around the origin.

Explanation:

Step1: Identify original coordinates

Assume original coordinates of \(R=(2, - 6)\), \(S=(8,-6)\), \(T=(8, - 5)\), \(U=(2,-5)\)

Step2: Apply rotation rule

The rule for a \(180^{\circ}\) clock - wise rotation around the origin is \((x,y)\to(-x,-y)\)
For point \(R(2,-6)\), new coordinates \(R'=(-2,6)\)
For point \(S(8,-6)\), new coordinates \(S'=(-8,6)\)
For point \(T(8,-5)\), new coordinates \(T'=(-8,5)\)
For point \(U(2,-5)\), new coordinates \(U'=(-2,5)\)

Answer:

\(R'(-2,6)\), \(S'(-8,6)\), \(T'(-8,5)\), \(U'(-2,5)\)