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Q: Why are two figures similar if their angles are the same?

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They have the same measure.

If all angles of two polygons are the same the figures are similar (irrespective of rotation).

No. Two figures are similar if they have same shape, and all the angles are equal; but they can have the sides of different sizes. I mean, similar figures may have different sizes, but must have the same shape.

When they have the same interior angles but different side lengths

Yes, if the angles are the same the two figues are similar. The side lengths don't have to be the same.

When two figures are similar it means that its the same size and length and that they both have same features in other words it means that its congruent.Simply put :they have the same shape, same angles and proportional side lengths.

Two figures are similar if: - The measures of their corresponding angles are equal. - The ratios of the lengths of the corresponding sides are proportional.

... similar.

koe

The two similar shapes will have the same angles

No.

yes. if the two figures are the same size and shape, then they are similar

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