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Are all equiangular triangles congruent

Updated: 4/28/2022
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9y ago

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All equiangular triangles are similar, but not congruent. They all have three 60 degree angles. This does not mean that they all have the same side lengths though. Therefore, they are only similar, not congruent.

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9y ago
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Q: Are all equiangular triangles congruent
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Related questions

When is an equilateral triangle not equiangular?

If a triangle is equiangular, it will have all equal angles. So, it might be similar to another equiangular triangle, but not congruent. It is not equilateral if the sides are not equal in length. All equiangular triangles are similar, but not all of them are congruent, which means they do not all have corresponding side lengths. But, all equilateral triangles are equiangular.


A type of triangle with congruent angles?

an equiangular triangle (and by definition, equilateral triangles are always equiangular too)


How many congruent sides does an equilateral have?

Equilateral triangles have 3 congruent(equal) sides and 3 congruent angles, because equilateral means that all the sides are equal. If a polygon(shape with 3 + sides) is equilateral and equiangular( all the angles are the same), then it is regular. Some equiangular polygons are not equilateral, and vice versa.


Prove that equilateral triangles are equiangular?

Statement Reason1. triangle ABC is equilateral..............................................given2. AC is congruent to BC;AB is congruent to AC........................................definition of equilateral3. angle A is congruent to angle B;and B is congruent to angle C.............................Isosceles Theorem4. angle A is congruent to angle C..................Transitive Property of Congruence5. triangle ABC is equiangular...............................Definition of equiangular


What polygon has all angles congruent?

a polygon that has all angles congruent is an equiangular .....


Is it true to say that two equiangular triangle are always equal?

No. Equiangular only implies the angles are the same, but says nothing about the lengths. Two equiangular triangles are always similar, only sometimes congruent.


What is a polygon with all angles congruent?

equiangular


Are all equiangular triangles similar?

Yes.


Does an equiangular polygon has all angles congruent?

yes


What are the two properties of congruent triangles?

All the corresponding sides in congruent triangles are equal All the corresponding angles in congruent triangles are equal


Polygon with all sides congruent?

It is an equilateral polygon. However, it is NOT a regular polygon. For that to be the case, it would also have to be equiangular: that is, all its angles must also be congruent. It is only in the case of triangles that being equilateral implies equiangularity and therefore regularity.


A polygon with equal angles?

this means that it is equiangular. All polygons are equiangular and equilateral (Equilateral means that all of the sides are congruent)