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When two angles are similar their corresponding angles are?
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.
What are corresponding parts?
Corresponding parts can be described using many different examples. I'll use right triangles. By definition, one of the interior angles of a right triangle is 90o. Therefore the other two interior angles of a right triangle must add up to 90o since the sum of all three interior angles of a triangle is equal to 180o. In fact, the two corresponding angles of any other right triangle must add up to 90o. Those angles are corresponding parts of a right triangle. The 90o angle is another, albeit different, corresponding part of a right triangle.This can be generalized to pretty much anything you're talking about as long as what your talking about has parts. Take a person's face for example. I have blue eyes. You may have green eyes. Green would be the color of your corresponding facial feature to my blue.
Why would you use CPCTC?
Once you have shown that two triangles are congruent you can use CPCTC (corresponding parts of congruent triangles are congruent) to show the congruence of the remaining sides and angles.
Do all angles in a hexagon have to be the same?
no, if you took a hexagon and squashed it down the inside angles would grow and the outside angles would shrink.
What is properties of congruent figures?
When two geometrical figures are congruent, it means that they are the same in every respect; all the corresponding line segments have the same lengths, they are put together into the same shape, the corresponding angles are the same, and every measurement (area, circumference, etc.) will be the same. The only difference is that they are not in the same location (if they were in exactly the same location they would be superimposed on each other and they therefore would be just one geometric figure, not two).
