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Corresponding sides means that the sides are congruent

Q: When naming corresponding angles how would it be written?

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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.

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.

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.

no, if you took a hexagon and squashed it down the inside angles would grow and the outside angles would shrink.

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).

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I believe those would be corresponding angles?

Yes, each angle would be 45 degrees.

No, similar pentagons (or any polygon for that matter) must have corresponding congruent angles and all sides must be proportional to its corresponding sides. For example, if a square with a triangle on it is a pentagon, then a regular pentagon would not be similar to it (because corresponding angles are not congruent).

If two parallel lines are intersected by a transversal, then the corresponding angles are congruent. This is the transversal postulate. So the answer is the lines would be parallel. This means that the statement is true.

They are similar triangles.

corresponding angles are angle that if u took one angle it would correspond (witch means equal) with the other angle The angles that occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, the corresponding angles are equal!

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.

Nothing else, the angle-angle-side is sufficient to show the triangles are congruent. With two corresponding angles are equal, the third angles in the triangles by definition (the sum of the three angles in a triangle is 180o) must be equal making the triangles similar. If a corresponding pair of sides are also equal, then the other two corresponding pairs of sides will be equal.

Given a shape as such... ______________________________________ / A=72 B=65 \ \ / \_C=105__________________D=110_______/ (sorta) You take the interior angles that you have and subtract them from 360 to get their supplementary angles, which would be the measure of the outside angles corresponding to the interior angles Measure of <A= 72- so 360- 72=288*; so the measure of the exterior angle corresponding to <A is 288* You can do the same thing for the rest of the angles in the polygon. Hope it helps...

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.

Any angle can be measured in degrees or in radians.But the question seems to be: What are corresponding radian measures for the angles expressed in degrees? To that question there is no answer because the possible list of "degree angles" to be expressed in radians would be unlimited.

A. Corresponding parts of similar triangles are similar.B. Alternate interior angles are supplementary.C. Alternate interior angles are congruent.D. Corresponding parts of congruent triangles are congruent