Lines and are cut by a transversal at distinct points and respectively
MATHEMATICS · Multi-part · CBSE · Mathematics · Lines and Angles · Lines and Angles
Problem
Lines l and m are cut by a transversal t at distinct points P and Q respectively. At P, the acute angle on the upper–right side of t is denoted as ∠1. At Q, the acute angle on the upper–right side of t is denoted as ∠2.
Answer the questions given below.
(i) Define the term “corresponding angles” when a transversal intersects two lines.
(ii) If only the information ∠1=∠2 is provided, explain whether this single statement is sufficient to conclude that l∥m. Give complete reasons for your answer.
(iii) State one additional condition (if any) that might be required when working with real diagrams to justify that two lines are parallel in such situations.