Question

the two polygons below are similar.

complete the similarity statement.

cdef ~

submit

Explanation:

Step1: Identify corresponding angles

In similar polygons, corresponding angles are equal.
In polygon \(CDEF\), \(\angle F = 55^{\circ}\), \(\angle D=55^{\circ}\), and in polygon \(STRU\), \(\angle S\) and \(\angle U\) are the angles that should correspond to \(55^{\circ}\) angles (since the other angles in \(STRU\) are \(125^{\circ}\)).

Step2: Match the vertices

Since \(\angle F\) corresponds to \(\angle U\) (both \(55^{\circ}\)), \(\angle D\) corresponds to \(\angle S\) (both \(55^{\circ}\)), \(\angle C\) corresponds to \(\angle T\) (both \(125^{\circ}\) if we use the property that the sum of angles in a quadrilateral is \(360^{\circ}\), \(360-(55 + 55+125)=125\) for \(\angle C\) and \(360-(125 + 125+55)=55\) for \(\angle U\) and \(\angle S\)), \(\angle E\) corresponds to \(\angle R\) (both \(125^{\circ}\)).
The order of vertices in the similarity statement should follow the correspondence of angles.

Answer:

\(CDEF\sim SRUT\)