"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.
An isosceles triangle.
Isosceles triangle
An isosceles triangle has at least two congruent sides. An equilateral triangle has three congruent sides. So, an equilateral triangle is a special case of isosceles triangles. Since the equilateral triangle has three congruent sides, it satisfies the conditions of isosceles triangle. So, equilateral triangles are always isosceles triangles. Source: www.icoachmath.com
sometimes, but not always
If you mean an isosceles triangle then no because all triangles have no diagonals
If you can only prove two sides of an apparently equilateral triangle to be congruent then you have to use isosceles.
An isosceles triangle.
Isosceles triangle
An isosceles triangle has at least two congruent sides. An equilateral triangle has three congruent sides. So, an equilateral triangle is a special case of isosceles triangles. Since the equilateral triangle has three congruent sides, it satisfies the conditions of isosceles triangle. So, equilateral triangles are always isosceles triangles. Source: www.icoachmath.com
Not all the time but it can happen
No because an isosceles triangle has various two congruent angles. A 45-45-90 triangle is technically an isosceles triangle.
sometimes, but not always
If you mean an isosceles triangle then no because all triangles have no diagonals
Yes, the base angles of an isosceles triangle are always congruent. An isosceles triangle commonly has two sides that are equal in length. The base angles are the angles opposite those two equal sides of the triangle. A geometric theorem states that if two sides of a triangle are congruent, then the angles opposite those sides are congruent. The converse is also true.
The isosceles triangle theorem states that if two sides of a triangle are congruent, the angles opposite of them are congruent. The converse of this theorem states that if two angles of a triangle are congruent, the sides that are opposite of them are congruent.
A scalene triangle. In a scalene triangle, there are no congruent sides or angles. In an isosceles triangle, at least two congruent sides and angles. In an equilateral triangle, all three sides and angles are congruent, with angles that always measure sixty degrees. Note: an equilateral triangle also classifies as an isosceles triangle, as it meets the definition of an isosceles triangle mentioned above.
Only as in the form of an isosceles trapezoid are its diagonals congruent.