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Is a triangle equiangular?
It depends on what type of triangle it is.If it is equilateral then it will also be equiangular.If it is isosceles then it may be equiangular (it depends whether it is equilateral or not - an isosceles can be equilateral or it can just have two equal sides).Any other type of triangle will not be equiangular.
Is an equiangular triangle can be an isosceles triangle?
Yes. But not the other way round. If all three angles are equal (equiangular) then two of them must be equal (isosceles).
Is an isosceles triangle always never or sometimes congruent?
"Congruent" means "same shape and size as the other one". So one thing all by itself is never congruent. It needs something else to be congruent with. An isosceles triangle is never congruent to a scalene triangle, sometimes congruent to any other kind of triangle, and always congruent to another isosceles triangle that's congruent to the first one.
Two right triangles are congruent if the legs of one triangle are congruent to the legs of the other triangle?
true
Is a triangle a small regular polygon?
A regular polygon is any polygon that has sides which are the same length and angles whose measures are equal. An equilateral triangle (also equiangular triangle) is a regular polygon. Other isosceles triangles (equilateral triangles are isosceles, but they are an exception) and scalene triangles are not regular polygons. A side note: Only in a triangle is a polygon regular solely if it is equilateral. (Since an equilateral triangle is equiangular as well). This is NOT always true in other polygons, like quadrilaterals, where it can be equilateral but not necessarily equiangular (a rhombus) or equiangular but not equilateral (a rectangle).
