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
All the angle have the same measure.
Yes. But not the other way round. If all three angles are equal (equiangular) then two of them must be equal (isosceles).
No but an equilateral triangle is 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.
Having all angles with the same measure. A rectangle, for example is equiangular (each angle = 90 deg).
Every equilateral triangle is equiangular, and every equiangular triangle is equilateral.
no. angles can only be equal only if the corresponding sides are equal. only an equilateral triangle is an equiangular triangle.
Each angle is 60 degrees
It simply means that the angle at each corner is exactly the same as its neighbour.
An isosceles right angle triangle
The terms equiangular means a polygon having the same angle between any two adjacent sides. Equilateral means all sides of equal length. A polygon can be equilateral without being equiangular (the rhombus) and equiangular without being equilateral (the rectangle). If a polygon is both equilateral and equiangular, it is a "regular polygon" such as the pentagon, square, and equilateral triangle.