[tex]\huge\color{blue}\boxed{Questions:}[/tex]
1. How can you tell if two polygons are equal?
2. How can you tell if two polygons are congruent?
3. Can you say that congruent polygons are similar too? Explain.
4. Are all similar polygons also congruent? Why or why not?
[tex] \huge\blue{Answer:}[/tex]
1. Two polygons are similar if their corresponding angles are congruent and the corresponding sides have a constant ratio (in other words, if they are proportional).
2. For two polygons to be congruent, they must have an equal number of sides (and hence an equal number—the same number—of vertices).
3. Congruent polygons have the exact same size and are a perfect match because all corresponding parts are congruent (equal).
4. Similar figures have the same angles which means that they have the same shapes, but they differ in size. However, the sides are still in the the same ratio. Congruent shapes are always similar , but similar shapes are usually not congruent - one is bigger and one is smaller.
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