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 that they are similar.
Statement 2: When two triangles are similar, the ratio of their corresponding sides is equal.
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 that they are similar.
Statement 2: When two triangles are similar, the ratio of their corresponding sides is equal.
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. Since the sum of all the angles of a triangle is 180∘, so the third angle will be equal by default for similar triangles.
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.
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. Since the sum of all the angles of a triangle is 180∘, so the third angle will be equal by default for similar triangles.
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.
