Question

Quadrilateral STUV with vertices S(-6, 5), T(-4, 7) U(-2, 1), and V(-8, 1); 180° rotation about the origin

Answer 1

`\begin{gathered} S^(\prime)(6,-5) \\ T^(\prime)(4,-7) \\ U^(\prime)(2,-1) \\ V^(\prime)(8,-1) \end{gathered}`

Explanation:

Rotation of a point through 180°, about the origin for (x,y), it takes a new position (-x,-y). Then, for the quadrilateral STUV:

`\begin{gathered} S(-6,5)=S^(\prime)(6,-5) \\ T(-4,7)=T^(\prime)(4,-7) \\ U(-2,1)=U^(\prime)(2,-1) \\ V(-8,1)=V^(\prime)(8,-1) \end{gathered}`