Which term describes triangles that have equal corresponding angles and proportional corresponding sides?

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Multiple Choice

Which term describes triangles that have equal corresponding angles and proportional corresponding sides?

Explanation:
Similar triangles describe two triangles that match in shape because their corresponding angles are equal and their corresponding sides are in the same constant ratio. When two triangles have all three corresponding angles equal, the sides scale by a single factor, so AB/DE = BC/EF = CA/FD. This is why equal angles plus proportional sides point to similarity. Congruent triangles also have equal angles, but they require equal sides as well, which is a stronger condition than merely proportional sides. An equilateral triangle is a triangle with all sides equal, not a relation to another triangle. A right triangle is defined by having a 90-degree angle, not by similarity to another triangle.

Similar triangles describe two triangles that match in shape because their corresponding angles are equal and their corresponding sides are in the same constant ratio. When two triangles have all three corresponding angles equal, the sides scale by a single factor, so AB/DE = BC/EF = CA/FD. This is why equal angles plus proportional sides point to similarity. Congruent triangles also have equal angles, but they require equal sides as well, which is a stronger condition than merely proportional sides. An equilateral triangle is a triangle with all sides equal, not a relation to another triangle. A right triangle is defined by having a 90-degree angle, not by similarity to another triangle.

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