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In geometry, the term "similar" refers to figures that have the same shape but potentially different sizes (length, width, height). Strictly speaking angles don't have "size" so they would not be "similar". On the other hand if we interpret the intent to be to ask about congruent angles in similar figures the corresponding angles (i.e. angles that occupy the same relative position at each intersection where a straight line crosses two others) will also be congruent.
If angles are similar in that they have approximately (but not necessarily exactly) the same measure, then their corresponding angles will also be approximately the same as each other. Stated another way:
If angles A and B are very close in measure, and angle C is the corresponding angle of angle A and angle D is the corresponding angle of angle B, then angles C and D will be close in measure within bounds that can be predicted based on the difference in measure between angles A and B.
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How do you know if two rectangles are similar?
Two rectangles are similar if corresponding angles are equal and the corresponding sides are proportional.
If corresponding angles are congruent and corresponding sides are proportional two polygons are?
similar polygons
What is true about corresponding angles and corresponding sides of similar figures?
The ratio between corresponding sides or angles of similar triangles are equal
Do similar figures always have corresponding angles that are equil?
Yes, similar figures always have congruent corresponding angles and proportional corresponding side lengths.
How can you tell if two polygons are the same?
Two polygons are similar if and only if the corresponding angles are congruent
