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Q: Are two isosceles triangle always similar?

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No. An isosceles has two equal sides and two equal angles. A scalene has no equal sides and no equal angles.

No. A scalene triangle is never isosceles. An isosceles triangle has two equal sides. A scalene triangle has none.

An isosceles triangle.

Isosceles triangle

An isosceles triangle has two equal sides and two equal angles. A right triangle is any triangle with one angle that is a right angle. A right triangle could also be an isosceles triangle, but an isosceles triangle will not always have a right angle.

An isosceles triangle has two equal sides and two equal angles. A right triangle is any triangle with one angle that is a right angle. A right triangle could also be an isosceles triangle, but an isosceles triangle will not always have a right angle.

An equilateral triangle is never an isosceles triangle. An equilateral triangle has three sides equal in length whereas an isosceles triangle only has two sides equal in length.

Yes. Always

An equilateral triangle is a triangle with three equal sides. An isosceles triangle is one with two equal sides. So yes, an equilateral triangle qualifies as being an isosceles triangle as well. This is quite similar to the relationship between squares and rectangles, where a square is always a rectangle, but a rectangle isn't necessarily a square.

No because an isosceles triangle has various two congruent angles. A 45-45-90 triangle is technically an isosceles triangle.

Isosceles triangles are not always equal. Some are large some are small, some have two long sides that are equal, and some have two short sides that are equal. Every isosceles triangle has two sides that are of equal length; that is what makes it isosceles.

No

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