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Yes, they are.

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Q: If the vertex angles of two isosceles triangles are congruent are the triangles always similar?
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Related questions

Are the diagonals of an isosceles always congruent?

If you mean an isosceles triangle then no because all triangles have no diagonals


Do similar triangles always have congruent angles?

Yes, in similar triangles, the angles are always congruent, and the sides have the same proportions to each other.


Is an equilateral triangle equal to an 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


Are similar triangles always congruent?

No, congruent triangles are always similar but similar triangles and not always congruent. Imagine that similar triangles can be created on a copy machine enlarge and shrink the image, turn it, even turn it over, the angles remain the same. A congruent triangle must be exactly the same as the original. Hope this helps!


Are two isosceles right triangles always similar?

No


Do isosceles triangles always have 2 congruent sides?

Yes because the two sides of a triangle that are the same lenth are congruent.


Can you always cut a right triangle into two congruent triangles?

Similar, YES. Congruent, NO.


Are the angles of similar triangles always equal?

The relative angles are congruent


Can an isosceles triangle Always be a right triangle?

In an isosceles triangle, two angles, and therefore sides (Base Angle Theorem), are congruent. This does not mean that all isosceles triangles are also right triangles - there is only one (45, 45, 90 triangle).


Are Two isosceles triangles are sometimes always or never similar to each other?

Sometimes.


You can always two similar trianges so that they become congruent?

If you mean you can "scale" two similar triangles so that they become congruent, then yes.The answer is Dilatedilate


Is these two triangles always congruent sometimes congruent or never congruent?

Never