State, true or false :
Two congruent polygons are necessarily similar. 

Answer

To determine whether the statement "Two congruent polygons are necessarily similar" is true or false, we can break down the concepts of congruence and similarity.

### Step 1: Understand Congruence
Congruent polygons are defined as polygons that have the same shape and size. This means that all corresponding sides and angles of the polygons are equal.

### Step 2: Understand Similarity
Similar polygons, on the other hand, are polygons that have the same shape but not necessarily the same size. This means that their corresponding angles are equal, and the lengths of their corresponding sides are proportional.

### Step 3: Analyze the Statement
Since congruent polygons have both the same shape and size, they also meet the criteria for similarity. This means that all corresponding angles are equal, and the ratios of the lengths of corresponding sides are equal to 1 (since they are the same).

### Step 4: Conclusion
Therefore, the statement "Two congruent polygons are necessarily similar" is true.

### Final Answer
True.

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