Question

Assertion (A): In the given figure, if $$DE\parallel BC$$ then $$\triangle ADE\sim\triangle ACB$$.

Reason (R): Being corresponding angles, we have $$\angle D=\angle B$$ and $$\angle E=\angle C$$.

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. The angle correspondences give $$A\leftrightarrow A$$, $$D\leftrightarrow B$$ and $$E\leftrightarrow C$$, so the correct order is $$\triangle ADE\sim\triangle ABC$$, not $$\triangle ACB$$.

Step 2 – Reason: R is true. Since $$DE\parallel BC$$, the corresponding angles satisfy the stated equalities.