Triangles with corresponding angles equal in measure and corresponding sides in proportion are called

Triangles with corresponding angles equal in measure and corresponding sides in proportion are called

• A. Similar triangles
• B. Congruent triangles
• C. Equilateral triangles
• D. Right triangles

Answer: (A)

Similarity describes when two triangles have the same shape: all corresponding angles are equal and the lengths of corresponding sides are in a constant ratio. That means one triangle can be scaled up or down to match the other without changing angles, which is exactly what’s stated by “corresponding angles equal in measure and corresponding sides in proportion.” Congruent triangles require equal sides as well (a special case with scale factor 1), equilateral triangles describe a triangle where all sides are equal themselves, and right triangles are defined by a 90-degree angle, not by proportional side lengths.

Similarity describes when two triangles have the same shape: all corresponding angles are equal and the lengths of corresponding sides are in a constant ratio. That means one triangle can be scaled up or down to match the other without changing angles, which is exactly what’s stated by “corresponding angles equal in measure and corresponding sides in proportion.” Congruent triangles require equal sides as well (a special case with scale factor 1), equilateral triangles describe a triangle where all sides are equal themselves, and right triangles are defined by a 90-degree angle, not by proportional side lengths.