Question

1. these trapezoids are similar. which of the following is the correct similarity statement? abcd~defg abcd~fged abcd~efgd abcd~fedg

Explanation:

Step1: Identify corresponding vertices

When two polygons are similar, the order of the vertices in the similarity statement must match the corresponding vertices. In similar trapezoids, we match the vertices based on their relative positions.

Step2: Analyze the trapezoids

Looking at trapezoids \(ABCD\) and the smaller one, we can see that \(A\) corresponds to \(F\), \(B\) corresponds to \(G\), \(C\) corresponds to \(E\), and \(D\) corresponds to \(D\). So the correct similarity statement should be \(ABCD\sim FGED\).

Answer:

ABCD~FGED