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What are two shapes that are the same shape but are different sizes called?
They are said to be similar shapes and have the same interior angles.
When are shapes congruent?
Shapes are said to be congruent when they have the same dimensions and same angles
Are similar shapes always congruent?
Yes because to be similar the shapes need to have the same ratio of sides and similar angles. To be congruent the shapes have to be the same shape and size, so 2 congruent shapes will always be similar.
Why is it that if a shape is congruent its similar?
Congruency means that the given 2 figures are exactly same in shape and size. Thus all corresponding angles will also be the same.Similarity of shapes means that the 2 given shapes are same in shape but the measures of corresponding sides may not be the same. Since the shapes are the same, the corresponding angles are also same.If 2 shapes are congruent, they have equal corresponding angles. The equal angles satisfy the condition for the shapes being similar. Hence congruent shapes are similar as well.
What are similarities of congruent shapes and similar shapes?
The angles for congruent shapes and the angles in similar shapes are all the same. All the sides are also proportional in both. Basically, all congruent shapes are similar but not all similar shapes are congruent.
