Q: A triangle with three congruent angles?

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The three basic types of triangles are equilateral, isosceles, and scalene. An equilateral triangle has three congruent (equal) sides and three sixty-degree angles. An isosceles triangle has two congruent sides and the two angles opposite those sides are also congruent. A scalene triangle has no congruent sides or angles.

an equilateral triangle has three congruent triangles (each one is 60 degrees)

In an isosceles triangle 2 sides are congruent and 2 angles are congruent. In an equilateral triangle all 3 sides are congruent and all 3 angles are congruent also.

All three sides are congruent (equal in length); all three angles are congruent (same measure).All three sides are congruent (equal in length); all three angles are congruent (same measure).All three sides are congruent (equal in length); all three angles are congruent (same measure).All three sides are congruent (equal in length); all three angles are congruent (same measure).

Yes, because of the base angles theorem converse: If two angles in a triangle are congruent, then the sides opposite the angles are congruent.

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an equilateral triangle

An equilateral triangle.

equalateral triangle.

An equilateral triangle

Equiangular Triangle

No, none of the sides or angles are congruent in a scalene triangle. All three sides (and all three angles) are congruent only in an equilateral triangle.

Equilateral TriangleThis triangle has all three sides and all three angles congruent.

No, An equilateral triangle has 3 congruent angles, an isosceles triangle has 2 congruent angles, a scalene triangle has no congruent angles.

That is an equilateral triangle.

A scalene triangle is a triangle in which all three sides and all three angles are different. Therefore two angles of a scalene triangle are NEVER congruent.

If two angles in a triangle are congruent to two angles in another triangle, then the ______________ angles are also congruent.

Such a triangle is said to be EQUILATERAL. Note that if all three sides are congruent, all three angles are also congruent.