Question

Statement 1: In two triangles, if two corresponding angles are equal, it’s not required to check whether the ratio of their corresponding sides is equal or not to state whether they are similar.
Statement 2: When two triangles are similar, the ratio of their corresponding sides is equal.

• A. Statement 1 is true, statement 2 is true and statement 2 is the correct explanation for statement 1.
• B. Statement 1 is true, statement 2 is true and statement 2 is not the correct explanation for statement 1.
• C. Statements 1 and 2 are false.
• D. Statement 2 is true and statement 1 is false.

Answer 1

The correct option is B Statement 1 is true, statement 2 is true and statement 2 is not the correct explanation for statement 1.

If two corresponding angles in two triangles are equal, then they are similar by the AA similarity criterion.
When two triangles are similar, the ratio of their corresponding sides is equal.

Thus, when two corresponding angles are equal in two triangles, it’s not required to check whether the ratio of their corresponding sides is equal or not to state that they are similar.