A statement of assertion

MATHEMATICS · Single correct · CBSE · Mathematics · Triangles · Triangles

Problem

A statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as: Assertion (A): D and E are points on the sides AB and AC respectively of a

\triangle ABC

such that

AD = 5.7\text{ cm}

DB = 9.5\text{ cm}

AE = 4.8\text{ cm}

and

EC = 8\text{ cm}

then DE is not parallel to BC. Reason (R): If a line divides any two sides of a triangle in the same ratio then it is parallel to the third side. (a) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A). (b) Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A). (c) Assertion (A) is true but reason (R) is false. (d) Assertion (A) is false but reason (R) is true.

Related theory

Basic Proportionality Theorem
Similarity
Basic Proportionality Theorem (BPT)
Triangles

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