Question

Assertion (A): If $$\triangle FED \sim \triangle STU$$ then $$\frac{DE}{ST}=\frac{EF}{TU}$$.

Reason (R): The corresponding sides of similar triangles are proportional.

Options

• Both Assertion (A) and Reason (R) are true and Reason (R) is a correct explanation of Assertion (A).

• Both Assertion (A) and Reason (R) are true but Reason (R) is not a correct explanation of Assertion (A).

• Assertion (A) is true and Reason (R) is false.

• Assertion (A) is false and Reason (R) is true.

Answer 1

Assertion (A) is false and Reason (R) is true.

Explanation:

Step 1 – Assertion: A is false. From $$\triangle FED \sim \triangle STU$$, the corresponding vertices are $$F\leftrightarrow S$$, $$E\leftrightarrow T$$ and $$D\leftrightarrow U$$. Thus, the stated side ratios do not match the correspondence.

Step 2 – Reason: R is true. Corresponding sides of similar triangles are proportional.